Strength of chrome-molybdenum tubing under bending due to transverse loading (Aircraft Branch report)

              RY & SC E CE
File 629. I 3/Un3as/No. 686 AIR CORPS TECHNICAL REPORT No. 3860
AIR CORPS INFORMATION CIRCULAR
PUBLISHED BY THE CHIEF OF THE AIR CORPS, WASHINGTON, D.C.
Vol. VII July 10, 1934 No. 686
STRENGTH OF CHROME~MOlYBDENUM TUBING
UNDER BENDING DUE TO TRANSVERSE LOADING
(AIRCRAFT BRANCH REPORT )
UNITED ST A TE.5
GOVERNMENT PRINTING OFFICE
WASHINGTON ::1 934
Ralph Brown Draugt\On
UBRARY
JUN 19 2.013
Non·Depoitor~
Auburn University
TABLE OF CONTENTS
Su1n1nary ____________ ___________ ______________________________________________________ ___ __ _
Date and place of test.s ________________ _______________________ ______________ _____________ ___ _ Obj ect ______________________ _____________________________________________________________ ___ Description of mate rial, ~pparatus, and procedure ________________ ___ ___ - ______ -- ___ - - ___ - - - __ - - _ -
Tubing _______________________________ ~------------------------------------------ - ------
Apparatus and procedure ____ ___ __________________________ _______________________________ _
Calculation of results _______________________________________ __ ______ _____________________ _____ _
D~cu s~on ____ _____________ ----------------------------- - ---------------------------- - -- - --
Table! _______________________________________________________ __________________________ ___ _
Table II __ _______________ ___________________________________ __ __________________ _______ ___ _ Table III ___ _____________________ ______ __________________ _______________________________ ___ _
Table IV _________________________ ___________________________ __ _________________________ ___ _ Page
1
1
1
1- 2
2- 3
3
4
4-8
8- 14
Table V _____________________________ ___________________________________________________ _____ 14- 15
Table VI _________________________ _______________________________________________________ ____ 15
Curves ___________________________________ ______ _____________________________________________ 15- 32
Photograph ________________________________________________________________________________ _
33
(III)
STRENGTH OF CHROME~MOL YBDENUM TUBING UNDER
BENDING DUE TO TRANSVERSE LOADING
(Prepared by C. G. Brown and F. M. Carpenter, Materiel Division, Air Corps, Wright Field, Dayton, Ohio,
· July 10, 1933)
SUMMARY
The results of the study a re presented in figures 1
and 2, which figures are working charts for the deter­mination
of the modulus of rupture of chrome-molyb­denum
tubing in bending, in terms of ult imate tensile
strength and D/t ratio. It was found that the modulus
of heat-treated chrome-molybdenum tubing is affected
by both ult imate tensile strength a11d D/t ratio. The
modulus of rupture increases rapidly with decreasing
D/t ratios and at a lesser rate for increase in ultimate
tensile strength.
DATE AND PLACE OF TESTS
All t est work was performed at Wright Field, Dayton,
Ohio, during J 1J.11uary, February, and. March 1933.
OBJECT
The object of the study was to determine the
variation in modulus of rupture in pure bending of
heat-treated chrome-molybdenum tubing with D/t
ratio and wit h heat-treatment.
DESCRIPTION OF MATERIAL, APPARATUS, AND
PROCEDURE
(a) Ttibing.- The tubing used in these tests was
drawn from stock at Wright Fi eld and is considered
typical of tubing that would be accepted for use in
a ircraft struclures, as conforming to Specification
57- 180-2B. It was not selected for consistency in
diameter, or wall thickness. Several of the tubes were
found to have variations in wall thickness around their
periphery of up to 8 to 10 percent.
Two specimens of each diamet.er and heat-treat were
tested. These two specimens and a 12-inch tensile
test specimen ·were cut from t he same tube and were
wired together and heat-treated together. The ma­jority
of the tubes were heat-treated by a commercial
concern in Dayton and the remainder heat-treated at
Wright Field.
(b) Apparatus and procedure.- All bendiug tests were
performed on a 50,000-pound capacity Olsen t esting
machine in the Materials Branch Laboratory.
Loads were applied at the one-third points of the
tubes. Bearing "V" blocks, 3)1:! inches long, were used
under the loading points, and blocks 2Ys inches in
length at the reaction points. Roller bearing blocks,
to permit changes a long the length of the tube, were
used during some of the first tests , but were discon­tinued
during the majority of the tests in favor of a
simpler set-up.
Deflections at the center of each tube were taken by
means of a scale attached to the tube, a hair-line at­tached
to pins at the center lin e of the tube at the
reaction points, and a telescope. A t ypical set-up is
shown in figure 20.
The slope of the tube at the reaction points at its
maximum load was taken in the majority of cases.
Often the behavior of the testing machine under load
was such that failures occurred before the slope could
be determined, particularly when failures were by local
buckling.
The ultimate tensil e strength of the material of each
pair of test specimens was determined by tests on the
samples heat-treated with the bending specimens,
together with data for the determination of its modulus
of elasticity, elongations being determined by Ewing
or Olsen extensometers.
During the tests there was no evidence of crushing
of the tubes under their loading blocks, except possibly
a 2}'2- 065 tube heat-treated to 200,000 pounds per
quare inch and tested with a 30-inch length.
s
CALCULATION OF RESULTS
In order to determine t he true moments of inertia
of the tubes, their El's were determined from their
bending deflection curves, figures 11 to 15, inclusive,
using the expression:
p • p
EI = l 2d (3/4 l2 - a2)= K71
where
E I = modulus of elasticity times moment of inertia.
P= total load in pounds acting at the third points
of the tube and causing a deflection of d
inches.
l= length of tube between supports.
a = Ya = distance from a loading point to its
nearest support.
K = ~ (% l2 -a2) .
K = 479 when Z= 30 in.
K = 1372 when Z= 42 in.
K = 2355 wh,en Z= 51 in.
(1)
2
Actual values of modulus of elasticity were deter­mined
from data taken from the unit elongations of the
tensile test specimens, plotted in figures 16 to 19,
inclusive, which values were used to compute the values
of the actual moments of inertia.
The actual values of moment of inertia are calculated
in table I.
Due to variations in wall thickness, diameter, depth
of scale from heat-treating, eccentricity of the tubing,
et cetera, the actual moments of inertia varied from
the nominal value as much as 20 percent in extreme
cases, making it impossible to obtain consistent or rea­sonable
results based on nominal values.
Values of modulus of rupture were computed in table
II from the expression:
MR=
11;?
where
111.R=modulus of rupture lb. per sq. in.
l\II =maximum bending moment carried by tube,
in.-lb.
D = measured diameter of the t~be, in.
I = actual value of moment of inertia, tabulated
in table I.
Figures 4 to 10, inclusive, show these results, plotted
against the developed ultimate tensile strength of the
tubes, for certain D/t ratios (o utside diameter over
wall thickness).
It may be seen that the resulting points determine
very definite curves, one point of which has been ar­bitrarily
set at zero modulus of rupture at zero ultimate
tensile strength.
Figure 3 shows the results reduced to a single figure,
and figures 1 and 2 are working charts on an enlarged
scale, showing the relationship between modulus of
rupture in bending, heat-treat, or ultimate tensile
strength, and D/t ratio for chrome-molybdenum tubing.
DISCUSSION
Prior to the date of writing of this report, a value of
modulus of rupture of 120,000 pounds per square inch
for 95,000 pounds per square inch stock has been used
for design purposes, with no definite ruling available
for other ultimate strengths.
The results of this study, presented in figure 1, ex­tend
the determinati.on of modulus of rupture to ulti­mates
of 200,000 pounds per square inch, and further,
differentiate between D/t ratios.
In the lower left-hand corner of figure 1 the value of
120,000 pounds per square inch modulus of rupture for
95,000 pounds per square inch stock has been plotted,
from which it may be seen that this value would be
realized at a D/t of 14, and that should the D/t ratio
increase to 38 the modulus of rupture would drop to
95,000 pounds per square inch.
The ratio of modulus of rupture to ultimate tensile
strength varies from 1.00 at 95,000 ultimate tensile
strength and a D/t of 38 to 1.325 at a D/t of 12.
For the ultimate of 200,000 the ratio varies from
1.075 at a D/t of 38 to 1.425 at a D/t of 12.
The relationship between modulus of rupture in
bending and D/t is more clearly shown on figure 2 than
elsewhere.
Here the results have been extrapolated to include
D/t ratios of 10 and 50.
The dotted line of figure 2 can be used to represent
the D/t ratios at which the modulus of rupture in bend­ing
is equal to the ultimate tensile strength and shows
that as the ultimate tensile strength increase the D/t
ratio for a modulus of rupture equal to the ultimate
tensile strength increases.
If the curves of figure 2 were extrapolated to higher
values of D/t ratios, using the same slope as at D/l
equals 50, it is felt that the r esults would be conserva­tive,
for instead of remaining constant the slope of the
modulus of rupture curve would probably decrease
with higher D/t ratios.
In order to extend the modulus of rupture curves to
lower values of D/t ratios, four %-inch chrome-molyb­denum
bars were tested, following the same procedure
used for the tubing tests except that deflection data
were taken on one bar only and the resulting moment
of inertia applied to all tests. A Rockwell determina­tion
of the ultimate tensile strength was used in place
of actual tensile tests on the bars. The results were
plotted on figure 10, from which curve values were ob­tained
to extend the curves of figure 2 to a D/l of 2.
These values agree well with those found by Tucker­man,
Petrenko, and Johnson, of the Bureau of Stand­ards,
and presented in N.A.C.A. Technical Note 307-
"Strength of Tubing under Combined Axial and Trans­verse
Loading." The results presented herewith, how­ever,
are confined to pure bending only; no tests under
axial load having been made.
The results of the study may be used to determine
the allowable stresses for tubes under combined bend­ing
and compression by the use of the expression below,
found on page 270 of volume 1 of tbe seventh edition
of the Handbook-where
fab = the allowable primary bending stress in pounds
per square inch when the column is subjected
to a column loading of P / A.
fub =the allowable bending stress, or modulus of rup­ture
in pounds per square inch ultimate when
the column loading is zero, determined from
figure 1 or 2 of this report.
fuc=the allowable compressive stress when the bend­ing
stress is zero; that is, the P/A as a simple
column. Determined by Euler's, Johnson's,
or other appropriate formula.
P/A = the unit compressive stress applied to the
column.
L = length of the column if pin ended, or the distance
between points of inflection if not pin ended.
< = Radiu'S of gyration of the cross-sectional area
of the column.
Figure 136, page 268, of the Handbook, is a graphic
representation of the foregoing formula for a D/t of 14
and an ultimate of 95,000 only, according to the re­s
ults of figure 1.
3
It does not appear practical to revise figure 136 of the
Handbook for each heat-treat and D/t will determine a
new point of convergence of the L/< lines along the
100 percent f& /f, line of the figure. The simpler pro­cedure
will be to use the formula for combined bending
and compression, selecting a proper value of modulus
of rupture from figure 1 for each case that arises.
TABLE I. - Deterrnination of act ual rnornents of inertici of chrorne-rnolybdenwrn tubing
p d EI/ IO' E/10' from Actual
S pecimen n o. Lb. In.
[( =PR modulus I
d curves inch •
1-l - b _ -------- ---- ----- ----- ------------ --- - --- 500 0. 62 479 38. 0 29 0. 0131
3- 1- b _ -------- ------------- - ------------------- 800 . 935 479 41. 0 30 . 0136
4--2- b _ - --- - - -- - - - - - - - - - - - - - - -- ---- - - - - - - - - -- --- 700 . 575 479 58. 2 3l. 3 . 01828
5- 2-a_. ____ ____ - -- -- - - -- -- ----··--- ----- - _______ 900 . 780 479 55. 2 30. 3 . 01833
6--2- a _____ ____ __ - - - - --- - - ---- - - - -- __ _____ ___ . ___ 1100 . 930 479 56. 7 8-3-a __ _____ __________ __ ________ _____ _________ 29. 3 . 01936 1000 . 830 479 57. 7 30 . 01922
10-4-a __ - - --- - - - -- --- - - - - - -- --- - ----- - --- - - - - - - 1600 . 382 479 200. 0 29 . 0690
1121--44--ab _ __ -_-_-_-_- -_-_-__--_-_-_-__-_--_-__-_- -__-_- -_-_-_-_-_-_-_-_-_-__--_-_-__-_-_-_-_- 2000 . 5l7 479 185. 2 28.8 . 0644 2400 . 603 479 190. 7 30 . 0635
13-5-a ___ ________ _____ _______ ___ ____ ___ ------- - - 2400 . 507 479 226. 2 29. 2 . 0775
1135--55--ab __ -_-_-_--_-_-__-_- -_-__-_-_-_- -_-_-__- -_-_-__--__-_-_-_- -__-_-_-_--_-__- -__-_- -_-_ 2400 . 503 479 228. 5 29. 2 . 0783 3200 . 687 479 223. 2 29. 2 . 0764
15-5-b . ----------------- - - - - -- --- - - - ---------- -- 3200 . 687 479 223. 2 29. 2 . 0764
16--6--a . __ _________ _________ _____ - - - __ -- - - - - - - - - - 3200 . 502 479 305 30 . 1017
16--6--b_ - - -- - - - - - - - - - - - - -- - - - - -- - - -- - - - - - --- - - -- - 3200 . 497 479 308 30 . 1027
17- 6--b_ - - - - -- -- - - ---- - - -- - - - - - - - - - - - - - - - --- - - - - - 3600 . 557 479 309. 5 29. 5 .1047
18-6--a ________ _____ ____ __ ______ --·- - - --- ________ _ 4000 . 612 479 313 29. 2 .1072
18-6--b_ - - -- - - - - - -- - - - - - - - -- -- - - -- ----- -- - -- -- - - - 4000 . 637 479 300. 5 29. 2 . 1029
23-8-a ____ -- - --- - ------------ - ------------- ----- 6000 . 75 479 383. 5 29. 5 [299
2243---88--ab __ -_- -_-__--_-_-__-_- -__- _-_-_--__-_- -__- _-_- -_-__--__.. -_-__-_-_- -__-_-_-_- -__--_-_ 6000 . 73 479 394 29. 5 . 1335 6000 . 72 479 399 30. 3 l318
24-8-b . - - ---- ----- - ------- - --- - -- - - -- - ------- -- - 6000 . 75 479 383. 5 30. 3 1263
25-8-a.. - - - - - ----- - - - --- -- - ----- -- - - ------- - - --- - 6000 . 73 479 394 28. 3 1.392
2.'Hl- b_ - - ------------------ ----- - -- - - --- - - --- -- - 6000 . 73 479 391 28. 3 . 1392
26- 9-a _ __ ______________ - ------ ----- - - --- _______ 2800 . 72 1372 534 27. 5 . 1942
26- 9- b . - - - --- - - -- -- --- - - - - - - - - - - - -- -- - - --- - --- - - 2800 . 71 1372 54l 27. 5 . 1967
27- 9-b _ - - -- -- -- .--- -- - - -- -- - - - - - - - - --- - - - --- -- - - 3600 . 93 l372 530 30. 0 . 1767
29- lQ-b _ - -- -- -- - - - - - - - -- - - - -- -- - - -- -- -- --- - -- - - - 3400 . 79 1372 591 29. 0 . 2037
30-10-a __ _ - - ------ - -------- - - - ----- --- - ---- - - - - - 3400 . 80 1372 584 27. 5 . 2122
31- 10-a ___ ____ ____ ___ ________ _____ _____ ________ _ 4000 1. 03 1372 534 29. 5 .1810
31- 10-b _ - - ---- - - - - --- --- - - - - - - - - - --- - -- - ------ - 4000 1. 02 1372 539 29. 5 . 1827
32- 11-a _________ __ __ ___ __ _____ ________ _______ __ 4000 . 72 1372 764 30 .2-045
32-11- b _ - - -- - -- -- - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - 4000 . 72 1372 764 30 . 2545
33-11- b _ - -- -- - - - - -- -- - ---- - --- - - - -- - - - -- - - - -- - - - 5000 . 92 1372 746 27 . 2760
34-11- b . - - - -- -- - - - -- - - -- -- - - - - - -- - - -- - - - - -- -- - - - 5000 . 91 1372 753 28. 8 . 2615
36- 12- a _____________________ ________________ ____ 6000 . 97 1372 848 30. 2 . 2810
36- 12- b . - - -- - - - --- - - - - - -- - - --- - -- - - --- - - - - - - -- - - 6000 . 96 1372 857 30. 2 . 2840
41 - 14- a . __________ . ___ ___ ________ ___ ___ _______ -- 9000 . 78 1372 1584 28. 5 . 556
46- l 7-b _ - - - -- - - -- - - ---- -- -- --- - - - - - -- -- -- -- - - - - - 9000 .71 2355 2985 28. 3 1. 057
48- 17-a. _______ ------- - -- - ---- - ------ _____ _____ _ 10000 . 81 2355 2900 28 l. 072
48- 17- b . - - - - - ------- -- - ------ - ------- - - ---- - ---- 10000 . 82 2355 2865 27 l. 062
49- 18-a. _______________ _________________________ 10000 . 69 2355 3408 26. 4 l. 291
49- 18-b _ - - -- - - - --- --- -- -- - - - -- - - - - - - - -- - - - - -- -- - 10000 . 69 2355 3408 27. 3 1. 249
50- 18-a __ - --- - - - -- - - -- --·--- ____________ _______ 10000 . 68 2355 3457 27. 4 l. 261
50- 18-b _ - ---- - - - - - - - - ------ --- - - - -- -- - - - --- - - - - - 10000 . 70 2355 3360 27. 8 1. 210
51- 18-a. ____ ___ ______ ____ ____ __ ___ ___ _______ ____ 12000 . 84 2355 3362 27. 5 J. 222
52- 18-a. ________ _____ ___ ___ ______ __ __ ________ __ _ 14000 . 93 2355 3540 28. 5 l. 242
53- 19-a. _______________ ------------------------ _ 4000 . 4;3 l372 1277 29. 7 . 430
54--19-a. __ ___ __ __ ________ ________ ____________ ___ .sooo . 57 1372 1204 28. 3 . 426
55-19-a. ___________ ____ __________ _____ ________ __ 6000 . 69 1372 1193 30. 3 . 394
57-20-a __ ____ -- -- - --- - - - ------- - - - ----- - --- -- - __ 10000 . 66 1372 2080 26. 1 . 7970
58-20-a. __ _______ ______ ____ ___ _____ ____ __ ___ ____ 10000 . 68 1372 2020 30. 6 . 660
58-20- b _ - - - - - - -- - -- - - - - -- - - -- - - - - - - - - - - -- - - -- - - - 10000 . 66 1372 2080 30. 6 . 680
63- L _____ ___ _ - -- - - - -------- - -- --- - - ----- - - - -- - - 3000 . 40 479 359 27. 7 .1303
67- L . ____ ___ ---- -- - - - --- - - - - -- - - - ---- - --------- 5000 . 56 479 427 29. 4 . 1452
64- L __ - - - - --- - --- ----- - -- - -- - - ---- - - - --- - - __ ___ 10000 . 46 479 1041 29. 4 . 347
4
TABLE II.-Calculation of modulus of rupture of chrome-molybdenum tii!Jing
Specimen no. I M D
MD Tensile Sb calcu lated maximum 21 s tress St t D/t
--------
1-1-b_ -- - ---- - - -- -- - - -- - --- -- --- - -- - - - 0. 0131 3, 235 0. 998 123, 400 118, 310 ]. 043 o. 032 31. 23
3-l-b _ - -- --- - - - - - - -- - -- - - - -- --- -- - - -- - . 01367 6, 110 1.000 222, 700 196, 220 1.136 . 034 29. 37
4-2-b_ - - - -- -- - - - - - - --- ----- - - -- - -- - - - - . 01828 4, 930 1. 000 134, 700 114, 750 l. 175 . 049 20. 41
5-2-a __ - - -- -- ----- - - -- -------- ____ ___ . 01833 6, 380 . 998 173, 400 138, 850 1. 25 . 049 20. 38 6-2-a ___ ____ ________ ___ ___ _____ ___ ___ _ . 01936 7, 280 I. 001 188, 200 169, 400 I. 110 . 049 20. 41
8-3-a ___ _ - - --- - ----- - -- - --------- - -- -- . 01922 7, 290 . 995 188, 700 162, 130 l. 163 . 052 19. 12
10-4-a __ - -- --- - - --- -- -- -- -- - - --- - ----- . 0690 11, 950 I. 506 l30, 300 l2l , 740 l. 071 . 048 31. 33
l 1-4-b _ - ---- - - -- - - ------ - - - - - --- -- - - - - - . 0644 14, 390 J. 498 167, 300 155, 860 l. 073 . 046 32. 57
12-4-a ___ __ __ ______ _ -- -- - - -- - - - -- - ----- . 0635 17, 340 l. 496 204, 000 178, 300 1.143 . 047 31. 80 13-5-a ______ _________ _____ ___ ___ ______ . 0775 16, 500 I. 504 160, 200 141, 980 1.129 . 058 25. 97
13-5-b _ - - -- - -- - - - - - - - - - - - - - - - - - - -- ---- - . 0783 16, 820 1. 50[ lfil, 200 141, 980 1.137 . 058 25. 87
15-5-a __ --- - --- - - -- - - -- - - - - -- -- ---- -- - . 0764 22, 800 l. 499 223, 800 194, 100 1.152 . 056 26. 79
15-5-b _ - --- - - - ---- - - - - - - - - --- -- - -- - - -- - . 0764 22, 950 I. 500 225, 000 194, 100 I. 160 . 056 26. 79
16-6-a ___ _______ -- ---- - -- - ---- - ----- - -- .1017 22, 000 I. 505 165, 600 135, 600 I. 221 . 081 18. 59
16-6-b _ - - - - - - - - - - - -- - - -- - - - - -- - - -- - - --- . 1027 22, 300 1. 505 163, 700 135, 600 I. 207 . 081 l8. 59
1178--66--ba ___- _- -__-_- -__- _- -_-__- -__- -__- -__-_- _- -__- -_-_-__- _--_-__--__-_- . J047 27, 550 I. 505 l98, 000 164, 600 1. 202 . 081 18. 59 . 1072 32, 700 I. 503 229, 000 189, 300 I. 210 . 082 18. 57
1283--68--ba _ __- -_-__-_- _- _-_-_- -_-_-_-__--_-__-_- _--_-__-_- -__- -_-__- _- -__-_- . l029 32, 600 1. 502 238, 000 189, 300 l. 257 . 082 18. 57 . 1299 39, 500 1. 502 228, 200 163, 600 l. 394 . 120 12. 51
23-8-b _ -- - - -- - -- - --- -· -- - -- -- --- - - - - - -- - . 1335 41, 100 I. 511 232, 000 162, 500 I. 428 . 121 12. 50
24-8-a _______ _______ ____ - - -- - --- - --- -- _ . 13l8 43, 700 I. 499 248, 200 183, 900 1. 350 . 117 12. 80
24-8-b _ - - - -- - - -- - - -- --- - -- - - - - - - - -- - --- . 1263 46, 300 1. 498 274, 200 187, 200 l. 467 . 119 12. 60
25-8-a_ - -- - - -- - - - ------ --- ---- --- --- --- .1392 55, 400 I. 499 298, 000 206, 500 1. 44 . 125 12. 00
2265--98---ba _ __- -_-__-_- -_-__- -__- -_-_-__- -__- _-_-_-_-_-_-_-_-_-_-_-_--_-__-_- . l392 53, 800 I. 502 289, 500 206, 500 I. 40 . 125 12. 02 . 1942 24, 850 I. 996 [27, 800 124, 400 1. 027 . 058 34. 4
26-9--b _ -- - -- ---- -- -- ---- - - - - - - -- - - - - - - - . 1967 25, 100 2. 002 127, 900 124, 400 1. 028 . 058 34. 5
27-9-b _ - - - - - - - - - ' - - - ---- -- - - - - - - - - - - -- - . 1767 32, 700 I. 988 184, 000 162, 700 I. l32 . 055 36. 17
29-10-b_ - - - -- -- - - - - - - - - - - - - - - - - - --- - -- . 2037 30, 750 I. 994 150, 600 142, 700 I. 054 . 061 32. 70
30-10-a ___ -- - --- -- - - - -·- - - - - - -- ----- - -- _ . 2122 36, 750 2. 015 174, 200 160, 000 I. 089 . 061 33. 00
~E :f=~::: :::::: :::: :::: ~:=:: ::: :::::: :1
. 1810 37, 750 2. 004 208, 200 189, 300 1.100 . 061 32. 81
.1827 37, 100 2. 002 203, 000 189, 300 I. 072 . 061 32. 81
. 2545 38, 150 2. 000 149, 600 131, 540 I. 137 . 080 25. 0
32-11-b_ - - - - - - - - - -- - -- - - - - - - - - - - - - - - - - - . 2545 37, 780 2. 004 149, 300 131, 540 l. 129 . 080 25. 04
33-11-b _ - - -- -- - --- - ----- - - - - - - - - - - · -- - . 2760 46, 700 2. 007 169, 800 157, 050 I. 080 . 078 25. 75
3346--1112--ba __ -_-_-_-_-_-_-_-_--__-_-_- -_-_-_-_-_-_-_-__- -_-__-_- -__-_- -__- . 2515 53, 400 2. 003 204, 800 182, 180 I. 125 . 081 25. 65 . 2810 54, 500 l. 998 193, 700 162, 170 I. 193 . 092 21. 70
36-12-b_ ---- -- ---- - - --- - - - - ------ - - - -- - . 2840 54, 100 l. 997 190, 000 162, 170 I. 171 . 092 21. 70
41-14-a _______ _____ - - - ------- - - - -- _____ . 556 89, 000 2. 485 199, 000 184, 130 I. 081 . 084 29. 60
46-17-b _ - - - ------ -- - - -- - --- -- - -- - - - - -- - I. 057 97, 000 2. 981 136, 800 131, 970 I. 037 . 095 31. 42 48-17-a ___ __ ____ _____ _______ ___ ________ 1. 072 140, 400 3. 001 196, 700 179, 110 1. 098 . 094 31. 90
4489--1178--ba ___ -_- -__- _- -_-_-__- _- -__-_-_- -_-_-__- -__- _- -__- -_-__- -_-_-_-__- I. 062 136, 000 3. 002 192, 200 178, 660 I. 078 . 092 32. 62 I. 291 113, 200 3. 005 131, 700 126, 530 I. 04 . 112 26. 85
49--18-b _ - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - I. 249 117, 200 2. 982 139, 980 129, 360 I. 081 . 117 25. 5 50-18-a _____ ____ _____ ________ _____ ___ __ I. 261 147, 100 3. 024 176, 200 154, 670 1.141 . 117 25. 67
5510--1188--ab __ -_- _-_-_-_-_-_-_- _- _- -_-_-__-_-_-_-_-_-_--_-_-_-_-_-_-__- -_-_ 1. 210 135, 000 2. 985 166, 600 152, 480 l. 091 . Ill 26. 90 1. 222 162, 800 3. 000 199, 900 l76, 470 1. 132 . 117 25. 62
52-18-a __ __ - - - - - -- ---- - ---- - - - ---- __ ___ 1. 242 211, 700 3. Ol6 256, 300 210, 610 1. 217 . 113 26. 65
53-19-a ___ - - - - ---- -- -- - - - - -- ------ --- -- . 430 46, JOO 2. 506 134, 200 132, 360 1. 013 . 065 38. 58
54-19-a ___ -- --- --- ---- --- --- - - - - -- - - -- - . 426 58, 400 2. 503 171, 800 164, 110 I. 047 . 066 37. 98
55-19--a ____ ___ __ _____ ___ -- - - - - ------- - - . 394 66, 100 2. 489 208, 900 190, 640 1. 097 . 061 40. 80 57-20-a __ ____ ______ __ __________ _____ ___ . 797 111, 700 2. 514 175, 900 156, 410 1.123 . 116 21. 62 58-20-a __ ____ ___ ____ ___ _____ ___ ___ _____ . 660 129, 700 2. 531 248, 500 197. 920 l. 257 . 116 21. 80
58-20-b _ - - - - -- -- - - - - -- - - - - - - - - - - - - -- - - - . 680 130, 300 2. 491 238, 300 197, 920 I. 203 . 116 21. 44
63-L ___ - - -- - - - - - - --- - - - - --- ______ _____ . 1303 23, 300 1. 500 134, 100 99, 700 1. 342 . 116 12. 92
67-L - - - - - --- - - - - - ---- - - - - - - ---- -- -- --- . 553 120, 400 2. 757 300, 000 211, 300 l. 421 . 082 33. 5S
64-L ___ - --- --- - --- - -- - --- - - ---- ---- - -- . 1401 43, 900 I. 498 234, 500 175, 530 1. 337 . 120 12. 48
- - · -
TABLE III .-Dejlections of mid-point of tiibes in bending tests
1-1-b 3-l-b 4-2-b 5-2-a 6- 2-a 8-3-b 10-4-a
Load Deflec-
Load Deflec- Load Deflec- Load Deflec-
Load Deflec- L oad Deftec- Load Detlec-ti
on ti on ti on ti on ti on t i on ti on
------------- --- ---- ----- - ----- - --- --- --- - -
Pounds Inches Pounds Inches Pound8 Inches Pounds Inches Pounds Inches Pounds i'Tlches Pounds Inches
50 0 50 0 50 0 50 0 50 0 50 0 100 0
100 . 06 100 . 065 100 . 05 JOO . 055 100 . 03 100 . 050 200 . 025
200 .18 200 . 180 200 . 13 200 .140 200 .110 200 .135 400 . 080
300 . 305 300 . 305 300 . 21 300 . 230 300 . 195 300 . 220 800 . 175
400 . 425 400 . 415 400 . 29 400 . 315 400 . 280 400 . 3l0 1, 200 . 280
500 . 555 . 500 . 535 500 . 375 500 . 400 500 . 365 500 . 395 1, 600 . 380
600 . 725 600 . 650 600 . 455 600 . 485 600 . 445 600 . 480 2, 000 . 585
615 .80 700 . 770 700 . 535 700 - 565 700 . 535 700 . 570 2, 320 . 800
626 . 90 800 . 885 800 . 620 800 . 650 800 . 620 800 . 650 2, 345 . 90
637 1. 00 900 1. 015 900 . 710 900 . 740 900 . 705 900 - 745 2, 376 l.00
643 1. 10 l, 000 1.150 960 . 900 1, 000 . 825 1, 000 . 790 I, 000 . 825 2, 386 1.10
647 1. 20 1, 027 1. 20 979 1.10 1, lOO . 925 1, 100 . 880 l, 100 . 915 2, 391 1. 20
647 I. 30 1, 104 1.40 982 1. 30 I , 149 1.00 1, 200 . 965 l, 200 1. 015 2. 385 1. 30
647 1.40 1, 156 1. 60 I 984 1. 50 l, 206 1. 20 1, 300 1. 070 1, 300 1. 175 2; 390 I. 40
647 1. 50 1, 181 1. 80 985 1. 70 I, 237 1. 40 1, 383 1. 20 1, 345 1. 30 1, 820 1. 50
647 1. 60 1, 205 2. 00 980 1. 90 I, 245 1. 60 1, 444 1. 40 1, 368 1.40
645 1. 70 1, 217 2. 20 973 2. 10 I, 251 1. 80 1, 481 1. 60 1, 392 1. 50
641 1.80 1, 220 2. 40 967 2. 30 I, 257 2. 00 l, 503 1. 80 1, 412 1. 60
569 I. 90 1, 221 2. 60 953 2. 50 1, 257 2. 20 1, 523 2. 00 1, 412 1. 70
I, 221 2. 80 1, 253 2.40 1, 531 2. 20 1, 433 1. 80
1, 215 3. 00 1, 253 2.60 1, 534 2. 40 1, 447 1. 90
I, 203 3. 20 I , 253 2. 80 1, 535 2. GO 1, 452 2. 00
1, 257 3. 00 1, 537 2. 80 1, 452 2. lO
1, 265 3. 20 1, 542 3. 00 1, 449 2. 20
1, 276 3. 40 1, 548 3. 20 1, 458 2. 30
1, 277 3. 60 1, 555 3. 40 1, 454 2. 40
1, 274 3. 80 1, 550 3. 60 1, 454 2. 50
1, 265 4. 00 1, 542 3. 80 1, 446 2. 60
I 1, 254 4. 20 1, 524 4. 00 1, 426 2. 70
1, 212 4. 40 1, 075 4. 20
5
TABLE III. - Dejlections of mid-point of tubes in bending tests-Continued
11--4-b 12- 4- a 13-5-a 13-5-b 15-5-a 15-5-b 16- 6-a
--
Load I Deftec- Load Dt~~~c- Load De flee- Load DeOec- Load Detlec- Load De flee- I Deflec-t1on
ti on t1011 ti on ti on Load ti on
Pounds I Inches
------
Inches -1 P ounds
------
Pounds Inches Pounds Inches Pounds In ches Pounds Inches Pounds Inches
100 0 100 0 JOO 0 JOO 0 100 0 100 0 JOQ 0
200 . 025 200 . 025 200 . 020 200 . 02 200 . 025 200 . 020 200 . 020
400 . 075 400 . 030 400 . 065 400 . 06 400 . 065 400 . 065 400 . 050
600 . 125 600 . 130 600 . l05 600 . l05 600 .110 600 . 105 600 . O'lO
800 . 180 800 .180 800 . 150 800 . 150 800 . 150 800 . 150 800 . 115
1, 000 . 235 l,000 . 230 l, 000 . 195 1,000 . 190 1, 000 . 195 l,000 .195 l , 200 . 185
1, 200 . 290 l, 200 . 285 l , 200 . 235 l , 200 . 230 l , 200 . 240 1, 200 . 240 1, 600 . 240
I
1, 400 . 345 1,400 . 335 1, 400 . 280 1, 400 . 275 1, 400 . 285 1. 400 . 285 2, 000 . 305
l, 600 . 400 I, 600 . 390 1, 600 . 325 1, 600 . 320 1, 600 . 325 l, 600 . 325 2, 400 . 370
1, 800 . 455 1, 800 . 440 l, 800 . 370 l. 800 . 365 l, 800 . 370 l, 00 . 375 2, 300 . 430
2, 000 . 515 2,000 . 495 2, 000 415 2,000 . 410 2, 000 . 415 2, 000 . 415 3, 200 . 500
2, 200 . 565 2, 200 . 545 2, 200 . 460 2, 200 . 455 2, 200 . 465 2, 200 . 460 3, 600 . 565
2, 400 . 620 2, 400 . 600 2, 400 . 505 2, 400 . 500 2, 400 . 505 2, 400 . 505 4, 000 . 745
2, 620 . 70 2, 600 . 655 2, 600 . 550 2, 600 . 545 2, 600 . 550 2, 600 . 550 4, 157 . 900
2, 745 . 80 2, 800 . 710 2, 800 . 595 2, 800 . 585 2, 800 . 595 2, 800 . 590 4, 163 1. 00
2, 804 . 90 3, 000 . 785 3, 000 . 660 3, 000 . 650 3, 000 . 635 3. 000 . 635 4, 193 l. JO
2, 852 I. 00 3, 185 . 90 3, 200 . 8 15 3, 200 . 795 3, 200 . 685 3, 200 . 680 4, 210 1. 20
2, 872 1.10 3, 290 I. 00 3, 249 . 900 3, 273 . 90 3, 400 . 725 3, 400 . 725 4, 220 1. 30
2, 881 I. 20 3, 363 I. 10 3, 277 1. 00 3, 312 1. 00 3, 600 . 770 3, 600 . 770 4, 241 1. 40
1, 924 l. 30 3, 424 l. 20 3, 295 1. JO 3, 337 l. 10 3, 800 . 825 3, 800 . 820 4, 268 1. 50
3, 456 I. 30 I 3, 295 1. 20 3, 355 I. 20 4, 000 . 905 4, 000 . 880 4, 230 1. 60
3, 469 I. 40 3, 300 I. 30 3, 361 I. 30 4, 164 l. 00 4, 200 . 990 4, 296 1. 70
3, 312 l. 50 3, 300 1. 40 3, 364 I. 40 4, 285 l.10 4, 332 L 10 4, 3 14 1. 80
3, 274 1.50 3, 548 l. 50 4, 375 I. 20 4, 421 l. 20 4, 335 1. 90
3, 225 I. 60 3, 546 I. 60 4, 440 I. 30 4, 489 l. 30 4, 350 2.00
2, 617 1. 70 3, 54 1 1. 70 4, 499 1. 40 4, 551 1.40 4, 359 2.10
3, 519 1. 80 4, 536 1. 50 4, 596 1. 50 4, 363 2. 20
2, 709 1. 90 4, 565 1.60 4, 588 l. 60 4, 375 2. 30
4, 564 1. 70 4, 6 19 l. 70 4, 388 2.40
4, 529 l. 80 3, 500 1. 80 4, 400 2. 50
4, 427 1.90 4, 387 2. 60
3, 100 2. 00 4, 390 2. 70
4, 400
I
2.80
4, 381 2. 90
4, 100 3. 00
16-6-b 17-6-b 18-6-a 18-6-b 23-8-a 23- 8-b 24-8-a
Load De flee- Load Deflec- Load Deflec- Load Defl ec- Load DeOec- Load I Defl ec- Load De flee-ti
on ti on ti on ti on ti on ti on ti on
------------- -------------- ------------ - - -
P ounds Inches Pounds Inches Pounds Inches Pounds In ches Pounds Inches Pounds Inches Pounds Inches
100 0 100 0 100 0 100 0 100 0 100 0 JOO I 0
200 . 015 200 . 020 200 . 0 15 200 . 018 200 . 015 200 . 015 200 . 015
400 . 055 400 . 050 400 . 045 • 400 . 050 400 . 035 400 . 040 400 . 035
800 . 110 800 .110 800 . 105 800 . 115 800 . 085 800 . 090 800 . 085
1, 200 . 175 1, 200 .170 1, 200 . 170 I , 200 . 175 1, 200 . 135 l , 200 . 135 1, 200 .135
1,600 . 240 1, 600 . 235 1, 600 . 230 1, 600 . 245 1, 600 . 135 1, 600
I
. 185 1, 600 . 185
2, 000 . 305 2, 000 . 300 2, 000 . 295 2,000 . 310 2, 000 . 235 2, 000 . 235 2, 000 . 235
2, 400 . 370 2, 400 . 360 2, 400 . 355 2, 400 . 375 2, 400 . 275 2, 400 . 275 2, 400 . 280
2, 800 . 430 2,800 . 425 2, 800 . 420 2, 800 . 435 2, 800 . 325 2,800 . 325 2, 800 . 330
3, 200 . 495 3, 200 . 490 3, 200 . 485 3, 200 . 500 3. 200 . 375 3, 200 . 375 3, 200 . 380
3, 600 . 560 3, 600 . 555 3, 600 . 540 3, 600 . 565 3, GOO . 425 3, 600 . 420 3, 600 . 425
4, 000 . 695 4, 000 . 620 4, 000 . 610 4, 000 . 635 4, 000 . 470 4. 000 . 465 4, 000 . 475
4, 130 . 80 4, 400 . 685 4, 400 . 670 4, 400 . 700 4, 400 . 515 4, 400 . 515 4, 400 . 525
4, 191 . 90 4,800 . 80 4, 800 . 7.55 4,800 . 780 4, 800 . 560 4, 800 . 560 4, 800 . 565
4, 238 I. 00 4, 980 . 90 5, 200 .865 5, 200 . 905 5, 200 . 610 5, 200 . 610 5, 200 . 620
4, 250 1.10 5, 120 1.00 5, 530 I. 00 5,450 1. 00 5, 600 . 660 5, 600 . 660 5, 600 . 670 .
4, 283 l. 20 5, 210 1. 10 5, 725 I. JO 5, 640 1. 10 6, 000 . 715 6, 000 . 710 6, 000 . 715
4, 315 I. 30 5. 275 1. 20 5, 890 I. 20 5,820 1. 20 6, 400 . 795 6, 400 . 765 6, 400 . 770
4, 332 1.40 5, 325 1.30 6, 000 1. 30 5, 950 1. 30 6, 750 . 900 6, 800 . 855 6,800 . 840
4, 355 I. 50 5, 365 l. 40 6, 100 J. 40 6, 070 I. 40 7, 120 l. 100 7, 150 1. 00 7, 360 I. 00
4,376 1. 60 5, 400 1.50 6, 180 l. 50 6. 120 l. 50 7, 330 1. 300 7, 440 1. 20 7, 780 I. 20
4,388 I. 70 5, 430 1.60 6, 250 1. 60 6, 200 1. 60 7, 470 1. 500 7, 650 1. 40 8, 030 1. 40
4, 405 1. 80 5,460 1. 70 6, 310 l. 70 6, 260 1. 70 7, 600 I. 700 7, 750 l. 60 8, 200 1. 60
4, 424 1. 90 5,480 1. 80 6, 370 l. 80 6. 360 l. 80 7, 690 1. 900 7,870 1. 80 8, 330 1. 80
4, 437 2.00 5, 488 1. 90 6,405 1. 90 6, 375 1. 90 7, 750 2. 100 7, 950 2. 00 8, 450 2. 00
4,443 2. 10 5,495 2. 00 6, 440 2. 00 6, 415 2.00 7, 820 2. 300 8. 040 2. 20 8, 540 2. 20
4,452 2. 20 5, 510 2.10 6, 460 2. 10 6, 450 2. 10 7, 850 2. 50 8, 080 2. 40 8, 650 2. 40
4, 458 2. 30 5, 510 2. 20 6, 477 2. 20 6, 465 2. 20 7, 880 2. 70 8, 140 2. 60 8, 680 2. 60
4, 464 2. 40 5, 490 2. 30 6, 480 2. 30 6, 480 2. 30 7, 900 2. 90 8. 180 2. 80 8, 730 2. 80
4, 460 2. 50 5, 478 2. 40 6. 520 2. 40 6, 510 2. 40 7,880 3. 10 8, 210 3. 00 8, 750 3. 00
4,460 2. 60 5, 440 2. 50 6, 540 2. 50 6, 520 2. 50 7, 860 3. 30 8, 225 3. 20 8, 590 3. 20
4, 456 2. 70 5, 375 2. 60 6, 540 2. 60 6, 520 2. 60 7,820 3. 50 8, 210 3. 40 8, 510 3. 40
4, 435 2. 80 5, 180 2. 70 6, 540 2. 70 6, 520 2. 70 7, 750 3. 70 8, 175 3. 60 8, 440 3. 60
4, 412 2. 90 6, 510 2. 80 6. 520 2.80 3, 650 3. 90 8, 140 3. 80
4, 389 3. 00 6, 494 2. 90 6, 520 2. 90
6, 471 3. 00 6, 505 3. 00
6, 440 3.10 6, 495 3. 10
6, 390 3. 20 6, 450 3. 20
I 6, 400 3. 30
62690-34-2
6
T ABLE III.- Deflections of mid-point of tubes in bending tests-Continued
24-8-b 25--8-a 25-8- b 2&-9--a 2&-9--b 27-9-b 2\}-10-b
Load Deflec- Load Deflec- Load Deflec- Load Deflec- Load Deflec- ti on ti on ti on ti on ti on Load Dteif olenc - Load Deflec- ti on
---------------- -- ------------ ------------
Pounds Inches Pounds Inches Ponnds Inches Pounds Inches Pounds Inches Pounds Inches Ponnds Inches 100 0 100 0 100 0 100 0 100 0 100 0 100 0 200 . 015 200 . 010 200 . 010 500 .10 500 .10 500 .10 500 . 09 400 .040 400 . 035 400 . 035 1, 000 . 22 1, 000 . 23 1,000 . 22 1,000 . 20 800 . 090 800 . 085 800 . 080 1, 500 .35 1, 500 . 36 1, 500 . 35 1,500 . 32 1, 200 . 135 1, 200 .130 1, 200 . 130 2,000 . 48 2,000 . 48 2, 000 .48 2, 000 .42 1, 600 .185 I, 600 . 180 1, 600 .175 2, 500 .60 2, 300 . 56 2, 500 . 60 2, 500 . 54 2,000 . 235 2, 000 . 230 2, 000 . 220 2,800 . 68 2, 500 . 61 3, 000 . 72 3, 000 . 66 2,400 . 285 2,400 . 280 2, 400 . 265 3, 000 . 73 2, 700 . 66 3, 300 . 80 3, 500 . 78 2,800 . 335 2, 800 . 325 2, 800 . 315 3, 200 . 80 2, 900 . 72 3, 500 . 86 3,800 . 86 3, 200 . 385 3, 200 . 375 3, 200 . 360 3, 400 . 92 3, 000 . 75 3, 700 . 91 4, 000 . 95 3, 600 . 430 3, 600 . 420 3, 600 . 405 3, 480 1.02 3, 100 . 78 3, 800 . 94 4, 100 1. 02 4, 000 . 480 4, 000 . 470 4, 000 . 450 3, 500 1. 05 3, 200 . 82 3, 900 . 96 4, 200 1.13 4,400 . 525 4, 400 . 520 4, 400 . 500 3, 525 1. 09 3,300 . 88 4,000 1.00 4, 230 1.18 4,800 . 575 4, 800 . 565 4, 800 . 550 3, 540 J. 13 3, 400 . 95 4, 100 1. 04 4, 270 1. 21 5, 200 . 620 5, 200 . 610 5. 200 . 600 3, 550 l. 17 3,450 1. 00 4, 200 1.09 4,300 1. 25 5, 600 . 670 5, 600 . 660 5, 600 . 650 3. 540 1. 20 3, 500 1. 06 4, 400 1. 23 4, 320 1. 29 6,000 . 720 6, 000 . 705 6, 000 . 700 3: 500 I. 23 3, 550 1.15 4,450 1. 27 4,330 1. 33 6, 400 . 770 6, 400 . 755 6, 400 . 750 3, 420 I. 25 3, 565 1. 20 4, 470 l. 31 4, 350 I. 40 6,800 .825 6,800 . 800 6, 800 . 800 3, 000 1. 30 3, 585 1. 25 4, 510 1. 35 4, 360 I. 45 7, 200 . 895
I
7,200 . 850 7, 200 . 855 2. 800 I. 33 3, 585 1. 29 4, 540 1. 40 4, 370 I. 50 7, 640 LOO 7, 600 . 905 7, 600 . 925 2, 700 l. 36 3, 520 1. 34 4, 550 1.44 4, 380 I. 55 8, 130 1. 20 8, 000 . 965 8,000 1. 025 2, 600 l. 39 2, 950 1. 38 4, 580 1.48 4, 385 1. 60 8,460 l. 40 8, 400 1. 050 8, 570 1. 20 2. 550 1. 42 2, 800 I. 42 4, 590 1. 52 4, 390 1. 65 8, 710 1. 60 8,800 1. 160 8, 970 1. 40 2, 500 l. 46 2, 700 1.46 4, 610 1. 56 4, 390 1. 69 8,890 1. 80 9, 200 1. 280 9, 280 1.60 2, 600 1. 50 4, 615 1.60 4, 375 1. 72 9, 140 2.00 9, 550 1.40 9, 520 1.80 4, 630 1. 64 4, 375 l. 75 9, 160 2. 20 9, 980 1. 60 9, 670 2. 00 4, 640 1. 68 4, 365 1. 79 9, 270 2. 40 10, 300 1.80 9,810 2. 20 4, 650 1. 72 4, 330 1. 83 9, 240 2. 60 10, 600 2. 00 9, 910 2.40 4, 660 1. 76 4, 070 1. 87 9, 250 2.80 10, 770 2. 20 9, 980 2. 60 4, 670 1. 80 3, 350 1. 89 9, 200 3. 00 10, 860 2. 40 10, 050 2.80 4, 660 1. 84 9, 175 3. 20 10, 970 2. 60 10, 075 3. 00 4, 620 1. 88
11, 040 2. 80 10, 100 3. 20 3,000 1. 90
I
11, 080 3. 00 9, 920 3. 40
11, 105 3. 20 9, 920 3. 60
11, 090 3. 40 9,780 3. 80
11, 030 3. 60
30-10-a 31- 10-a 31- 10-b 32-11-a • 32-ll-b 33-11-b 34-11-b
Load Dteit olenc - Load Detlec- Load Deflec- Load Deflec- Load Deflec- Load I Deflec- Load Deflec- ti on t i on ti on t i on t10n ti on
------ ---
Lb. In. Lb. In. Lb. In. Lb. In. Lb. In. Lb. In. Lb. In. 100 0 100 0 100 0 100 (). JOO 0 100 0 100 0 500 . 10 500 .10 500 .10 500 . 07 500 . 08 500 .08 500 .08 1,000 . 20 1, 000 . 23 1, 000 . 23 1, 000 . 16 1, 000 .17 1, 000 .17 1, 000 .17 1, 500 .32 1, 500 . 36 1, 500 . 36 1, 500 . 25 1, 500 . 26 ! , 500 . 26 I , 500 . 26 2, 000 . 43 2, 000 . 48 2, 000 . 49 2, 000 . 34 2, .000 . 35 2,000 . 36 2,000 . 35 2, 500 . 54 2, 500 . 61 2, 500 . 62 2, 500 . 43 2, 500 .44 2, 500 . 45 2, -500 . 44 3, 000 . 66 3, 000 . 74 3, 000 . 74 3, 000 . 5~ 3, .500 . 62 3,000 . 54 3, 000 . 54 3, 500 . 78 3, 500 .88 3,500 .88 3, 500 . 61 4,000 . 72 3, 500 . 64 3, 500 . 63 4, 000 . 90 4,000 1.01 4,000 1. 00 4,000 . 70 4, 500 .83 4, 000 . 73 4,000 . 72 4, 500 1. 04 4. 500 1.16 4,500 1.16 4, 500 . 82 5, 000 1. 14 4,500 . 82 4,500 . 82 4,800 1. 20 4, 800 1. 31 4,800 1. 30 5, 000 1.10 5, 100 1. 30 5,000 . 92 5,000 . 91 5, 000 1. 40 5. 000 1. 47 4, 900 1. 37 5, 100 1. 23 5, 200 1. 42 5, 500 1. 02 5,500 1. 01 5, 040 1. 45 5, 200 1. 70 5,000 1.46 5, 170 1. 30 5, 250 1. 61 6, 000 1. 21 6,000 1.13 5. 070 1. 50 5, 230 1. 75 5, 100 1. 54 5. 210 1. 35 5, 300 1. 82 6, 300 1. 44 6,500 1. 32 5, 100 1. 55 5, 250 1. 80 5, 150 1. 60 5: 250 I. 42 5, 330 I. 95 6, 350 I. 50 6, 800 1. 48 5, 130 1.60 5, 275 1. 85 5.190 1. 65 5, 280 1. 48 5, 360 2.16 6,400 I. 56 7. 000 1. 60 5, 150 1. 65 5. 310 1. 92 5, 235 1. 72 5. 290 1. 54 5, 380 2. 28 6,430 I. 61 7, 100 1. 68 5, 170 1. 70 5, 340 1. 98 5, 2SO 1. 78 5, 310 1, 59 5, 390 2. 73 6, 460 1. 66 7, 200 I. 77 5, 190 I. 75 5, 360 2. 04 5, 300 1. 85 5, 340 1. 66 5, 380 3. 00 6, 480 1. 6~ 7, 300 1. 87 5, 190 1. 80 5, 380 2.10 3,000 1. 96 5, 350 1, 70 5, 370 3.10 6, 500 1. 73 7, 350' 1. 9 1 5, 205 1. 85 5, 390 2. 16 5, 370 1. 75 5, 360 3.15 6,520 1. 76 7, 450 2. 00 5, 215 1. 90 5, 380 2. 21 5, 380 1. 80 5, 340 3. 42 6, 540 1. 81 7, 540 2. 15 5, 220 ]. 95 5, 350 2. 23 5, 390 1. 85 5, 320 3. 50 6, 560 I. 85 7, 570 2. 24 5, 230 2. 00 3,000 2. 24 .5, 400 1. 90 5, 300 3. 56 6, 540 1. 94 7, 600 2. 45 5, 235 2. 05 5, 410 1. 95 5, 250 3. 64 6, 040 I. 98 7, 635 2. 68 5, 245 2. JO 5, 415 2. 00 5, 150 3. 72 6, 540 2. 02 7,470 2. 94 5, 250 2.15 5, 430 2. 05 6, 600 2. 15 5, 500 3. 00 5, 250 2. 20 5, 430 2. 10 6, 630 2. 32 5, 245 2. 25 .5, 430 2. 20 6, 650 2. 45 5, 230 2. 28 5, 430 2. 2.1 6, 660 2. 60 5, 220 2. 31 5, 435 ~- 30 6, 665 2. 76 5, 180 2. 31 5, 435 2. 36 6. 650 2. 98 5, 160 2. 36. 5, 435 2. 43 6, 615 3. 36 3, 600 2.44 5, 440 2. 70
5, 440 2. 90
I 5, ·!40 3. 35
5. 200 3. 70
~
I
TABLE III. - Dejlections of mid-point of tubes in bending lests-Cootinuecl
36-12-a I 36-12-b 41- 14-a 4&-17-b 48-li-a I 48-17-b
1
4()-18-a
Load I Deflec- Load Deflec- Load Deflec- Load Deflec- Load Deflec- Load Deflec- Load Deflec-
. tion tion tion tion tion tion tion
~~ :·~ 'L~ :·?: '~ :·~ I ,~~ '"~ '~~ :·~ ,} :·Z! '~~ '"~ I
2, 000 . 30 l. 500 . 23 2, 000 . 16 2, 000 . 16 2, 000 . 15 2, 000 . 14 2, 000 . 11
2, 500 . 38 2, 000 . 30 3, 000 . 25 3, 000 . 24 3, 000 . 22 3, 000 . 22 3, 000 . 18
3, 000 . 46 2, 500 . 38 4, 000 . 33 4, 000 . 32 4, 000 . 32 4, 000 . 32 4, 000 . 25
3, 500 . 54 3, 000 . 46 5, 000 . 42 5, 000 . 40 5, 000 . 40 5, 000 . 40 5, 000 . 32
4, 000 . 62 3, 500 . 54 6, 000 . 51 6, 000 . 48 6, 000 . 48 6, 000 . 50 6, 000 . 38
4, 500 . 70 4, 000 . 62 7, 000 . 60 7, 000 . 56 7, 000 . 56 7, 000 .• 18 7, 000 . 45
5, 000 . 78 4, 500 . 70 8, 000 . 69 8, 000 . 64 8, 000 . 64 8, 000 . 66 8, 000 . 52
5, 500 . 86 &, 000 . . 78 8, 500 . 74 9, 000 . 72 9, 000 . 74 9, 000 . 74 9, 000 . 58
6, 000 . 95 5, 500 . 86 9, 000 . 79 10, 000 . 81 JO, 000 . 82 10, 000 . 83 10, 000 . 67
6.500 1.05 6,000 .94 9,500 . 83 11,000 1.06 11.000 .90 11 , 000 .94 11, 000 .73
7, 000 1. 24 6, 500 1. 04 10, 000 . 88 11 , 200 l. 20 12, 000 1. 00 12, 000 1. 02 12, 000 . 81
7, 300 1. 47 7, 000 I. 25 JO, 500 . 94 11 , 300 J. 30 13, 000 1. 10 13, 000 1. 12 13, 000 I. 18
7, 400 1. 56 7, 200 1. 40 11. 000 1. 02 11 , 400 1. 40 14, 000 1. 22 14, 000 1. 25 13, 300 J. 70
7. 500 1. 68 7, 500 1. 78 11, 400 J. 10 11, 410 1. 50 15, 000 1. 42 14, 500 1. 39 13, 330 2. 20
7. 650
1 -
l. 96 7. 660 I 2. 40 11. 600 l. 15 11. 200 I. 60 15. 800 I. 72 15, 000 1. 55 13. 200 2. 30
7, 750 2. 36 7, 680 2. 53 11, 800 1. 20 16, 100 I. 90 15, 300 l. 69 11, 780 2. 40 '
7, 770 2. 50 7, 700 2. 68 12, 000 1. 28 16, 340 2. JO 15, 600 1. 86
7, 780 2. 61 7, 720 3. 46 12, 250 1. 38 J 6, 480 2. 30 15, 800 2. 00
1. 1so 3. 20 1. 680 ; a. s3 12, 4so i. so ] 6l 520 2. 40 16, ooo 2. 28
7. 600 3. 46 7. ~00 I 4. 00 12. 660 1. 65 w. 350 2. 48 10. 250 2. 40
7, 400 3. 53 J2, 720 J. 75 10, 500 2. 50
11, 700 l. 84
49- 18-b
Load
Lb.
100
500
1, 000
2, 000
3,000
4, 000
5,000
6,000
7,000
8,000
9, 000
10, 000
11, 000
12,000
13,000
13, 500
13, 700
13, 715
13, 730
13, 740
13, 760
13, 800
13, 770
13, 580
Deflec­tion
In.
0
. 03
. 06
. 13
. 18
. 26
. 32
. 38
. 44
. 50
. 57
. 65
. 72
.81
1.00
1. 25
1. 56
1. 70
1.88
2.00
2. 20
2. 40
2. 60
2. 90
50-18-a
Load
Lb.
100
500
1,000
2,000
3,QOO
4,000
5,000
6.000
7,000
8, 000
9,000
10,000
11, 000
12, 000
13, 000
14, 000
15, 000
16, 500
16, 960
17, 080
17, 200
17, 240
17, 300
17, 300
17, 100
Deflec­tion
In.
0
. 02
. 06
. J2
.18
. 26
. 32
. 39
. 45
. 52
.59
. 66
. 73
. 80
.86
. 95
1.04
1.48
1. 90
2.10
2. 30
2. 50
2. 80
3. 00
3. 30
50-18-b
Load
Lb.
100
500
1, 500
2, 000
3, 000
4, 000
5, 000
6,000
7,000
8, 000
9, 000
10,000
11, 000
12, 000
13, 000
14, 000
15, 000
15, 700
15,850
15,880
15, 800
13, 450
Deflec­tion
In.
0
. 04
. 10
.14
. 20
. 28
. 35
.42
.49
. 56
. 63
. 70
. 77
. 84
.92
1.02
1. 21
1.60
1.92
2.10
2. 30
2. 50
51-18-a
Load
Lb.
JOO
500
1,000
2, 000
3,000
4,000
5,000
6,000
7,000
8,000
9,000
10, 000
11, 000
12, 000
13, 000
14, 000
l5, 000
~6, 000
17, 000
18, 000
18,470
18, 780
W,980
19, 120
19, 130
19, 0.10
Deflec­tion
In.
0
. 02
. 06
.12
.19
. 26
. 33
. 40
. 46
. 53
. 60
. 68
. 75
.82
. 90
. 97
1.05
1.15
1. 31
1. 59
1.80
2.0
2. 2
2.4
2. 5
2.6
52-18-a
Load
Lb.
100
500
1, 000
2, 000
3, 000
4, 000
5,000
6.000
7,000
8,000
9, 000
10, 000
11, 000
12, 000
13, 000
14, 000
15, 000
16, 000
17, 000
18,000
19, 000
20, 000
21, 000
22, 000
24, 200
24, 720
24, 910
24, 980
25, 050
24, 930
Deflec­tion
In.
0
.02
. 06
. 11
.18
. 24
.30
.37
.43
. 50
. 56
. 63
. 70
. 76
. 83
. 90
. 96
1. 04
1.10
1. 18
1. 26
1. 35
1. 42
1. 50
I. 70
2.00
2. 30
2. 50
2. 80
2.90
Lb.
100
500
1, 000
2, 000
3, 000
4,000
5,000
6,000
6, 300
6, 540
6, 580
6, 578
6,440
In.
0
. 05
. 10
. 21
. 32
.46
. 58
. 70
.82
. 98
1. 06
1.10
l.18
L b.
100
500
1, 000
2, 000
3,000
4,000
5, 000
6,000
6,400
6, 800
7, 200
7, 600
8,000
8, 300
8, 340
8, 300
In.
0
. 04
. 09
. 20
. 31
. 43
. 55
. 66
. 71
. 76
. 82
. 91
1.04
1. 25
1. 31
1.38
'
8
TABLE III.-Dejlections of mid-point of tubes in bending tests-Continued
55-19-a I 57-20-a 58-20-a 58-20-b 63-1 64-1 67-1
Load Deflec- Deflec- Deflec- Deflec- Deflec- Deflec- Detlec- ti on Load ti on Load ti on Load ti on Load ti on Load ti on Load ti on
------------------ - - - ------ ---- - - ---- -----
Lb. In. Lb. In. Lb. In. Lb. In. Lb. In. Lb. In. Lb. Jn .
100 0 100 0 100 0 100 0 500 0. 04 500 0. 055 1, 000 0.022
500 . 04 500 . 03 500 . 02 500 . 03 l, 000 .10 1, 000 . 11 4, 000 . JO
1,000 .10 1,000 . 06 1, 000 . 06 1,000 . 06 2,000 . 235 2,000 . 22 6,000 . 16
2, 000 . 22 2,000 . 13 2, 000 .12 2, 000 . 13 3, 000 . 38 3, 000 . 34 8,000 . 218
3,000 . 33 3,000 . 20 3, 000 .19 3, 000 . 19 4, 000 . 595 4, 000 . 45 10, 000 . 278
4, 000 . 44 4, 000 . 25 4, 000 . 24 4, 000 . 25 4, 400 1. 30 5, 000 . 575 12,000 . 330
5, 000 . 56 5,000 . 32 5, 000 . 32 5, 000 . 32 4, 530 2. 00 6, 000 . 69 J4, 000 . 395
6,000 .68 6,000 . 38 6, 000 . 39 6, 000 . 39 4, 585 2. 30 7, 000 . 8J5 16, 000 .460
7, 000 .80 7,000 . 46 7, 000 . 46 7, 000 . 45 4, 605 2. 60 8, 000 1. 13 17, 000 . 50
8, 000 . 93 8,000 . 52 8, 000 . 52 8,000 . 52 4, 618 2. 90 8, 500 1.44 18,000 . 535
8,800 I. 16 9,000 . 58 9, 000 . 59 9,000 . 59 4, 640 3. 20 8, 700 1. 74 19, 000 . 570
9,310 1. 40 10,000 . 65 10, 000 . 66 10, 000 . 66 4, 660 3. 40 8, 770 2. 52 20, 000 . 6J5
9,360 1.46 IJ,000 . 72 11, 000 . 72 11, 000 . 72 22, 000 . 74
9,420 I. 52 12, 000 . 79 12, 000 . 79 12, 000 . 78 23, 630 . 90
9,440 1. 55 14, 000 .98 J3, 000 .86 14, 500 1.00 I 23, 970 I . 96
5, 200 1.82 14, 500 1.10 14, 000 . 94 17, 000 1.44 24, 100 1.00
14,800 I. 20 15, 000 1. 03 17, 500 I. 62
15, 000 l. 29 16, 000 l. 17 17, 900 J.82
I
15, 500 l.68 17, 000 l. 41 18, 300 2.12
15, 750 2.00 18,000 1. 87 18, 520 2.40
15, 820 2. 32 18, 300 2. 11 18, 600 2. 55
15, 810 2. 38 18, 500 2. 36 18, 615 2. 65
15, 760 2. 70 18, 535 2. 56 18, 600 2. 79 I
15, 200 3. 05 18, 280 2.80 18,460 2. 95 16, 700 2. 95 I I
I I
TABLE IV.- Elastic Modidus and Ultimate Tensile Strength Test Data
1-1-b 3-1-b 4-2-b 5-2-a I
Load, Stress, Straia, Load, Stress. Strain, Load, Stress, Strain, Load, Stress, Strain,
lb. lb.fsq. in. in. /in. lb. lb./sq. in. in.fin. lb. lb./sq. in. in./in. lb. lb./sq. in. in .fin.
--- --- - -- ----------
0 0 0 0 0 0 0 0 0
500 5, 144 .00015 500 4, 845 .o0ol5 500 3, 415 . 00013 500 3, 420 . 00013
1,000 10, 288 . 00030 1,000 9, 690 . 00030 1,000 6,830 . 00025 1,000 6,840 . 00025
J, 500 15, 432 . 0004.1 1, 500 14, 535 . 00045 I. 500 10, 245 . 00034 1, 500 10, 2fi0 . 00034
2,000 20. 576 . 00062 2,000 19, 380 .00061 2,000 13, 660 . 00045 2,000 13, 680 . 00045
2.500 25, 720 . 00080 2, 500 24, 225 . 00076 2, 500 17, 075 . 00057 ~. 500 17, JOO . 00058
3,000 30, 864 . 00095 3, 000 29, 070 . 00092 3,000 20, 490 . 0006n 3, 000 20, 520 . 00068
3, 500 36, 008 . 00113 :i, 500 33, 915 . 00107 3, 500 23, 905 . 00077 3, 500 n,940 . 00080
4,000 41, 152 . 00131 4, 000 38, 760 . 00122 4, 000 27, 320 . 00088 4, 000 27, 360 . 00092
4, 500 46, 296 .00148 4, 500 43, 605 .001 38 4, 500 30, 735 . 00099 4, 500 30, 780 . 00103
5, 000 ~~:~~ . 00165 5,000 48, 450 . 00154 5,000 34, 150 . 00110 5. 000 34, 200 . 00113
5, 500 . 00183 5, 500 53, 295 . 00169 5, 500 37, 565 . 00121 5, 500 37, 620 . 00125
6,000 61, 728 . 00200 6, 000 58, 140 . 00182 6,000 40, 980 . 00132 6, 000 41, 040 . OOJ36
6, 500 66, 872 . 00220 6, 500 62, 985 . 00200 6, 500 44, 395 ---------- 6, 500 14, 460 . 00148
7, 000 72, 016 . 00237 7,000 67, 830 . 002J6 7, 000 47, 810 . 00152 7, 000 47, 880 . 00158
7, 500 77, 160 . 00255 7, 500 72, 675 . 00231 7, 500 51, 22.5 . 00163 7, 500 51, 300 . 00168
8,000 82, 304 . 00273 8,000 77, 520 . 00245 8, 000 54, 640 . 00174 8,000 54, 720 . 00180
8, 500 87, 448 . 00292 8, 500 82, 365 . 00261 8, 500 58, 055 . 00186 8,500 58, 140 . 0019!
9,000 92, 592 . 00314 9,000 87, 210 . 00276 9, 000 61, 470 . 00197 9,000 61, 560 . 00202
9, 500 97, 736 . 00335 9, 500 P2, 050 . 00293 I 9, 500 64, 885 . 00210 9, 500 64, 980 . 00212
10, 000 102, 881 . 003i0 10,000 96, 900 . 00310 10,000 68, 300 . 00222 10, 000 68, 400 . 00223
10, 450 ---------- . 01400 10, 500 101, 745 . 00325 10, 500 71, 71 5 . 00232 10, 500 71. 820 . 00235
Max. Max. 11 , 000 106, 590 . 00340 11 , 000 75, 130 . 00240 11, 000 75, 240 . 00246
11, 500 118, 310 ll, fiOO 111,435 . 00355 II , 500 78, 545 . 00253 11 , .100 78. 660 . 00257
Elongation in 2"=Ji.53 12,000 116, 280 . 00372 12, 000 81, 960 . 00263 12,000 82, 080 . 00268
12,500 121, 125 . 00389 12, 500 85, 375 ---------- 12, 500 85, 500 . 00279
13, 000 125, 970 . 00407 13, 000 88, 790 . 00288 13, 000 88, 920 . 00291
13, 500 130,815 . 00422 13, 500 92, 205 . 00310 13, 500 92. 340 . 00302
14, 000 135, 660 . 00438 14, 000 95, 620 . 00350 14,000 95, 760 . 00314
14, 500 140, 505 . 00453 14, 500 99, 035 . 00390 14, 500 99, 180 . 00325
15,000 145, 350 . 00470 15, 000 102, 450 . 00515 15,000 102, 600 . 00337
15, 500 150, 195 . 00488 15, JOO 103, J42 . 01400 15, 500 106, 020 . 00348
16, 000 155, 040 . 00505 Max. Max. 16, 000 109, 440 . 00361
16, 500 159, 885 . 00523 16, 800 114, 750 16, 500 112,860 . 00372
17, 000 164, 730 . 00543 Elongation in 2" = 21.53 17, 000 116, 280 . 00384
17, 500 169, 575 . 00565 17, 500 11 9, 70Q . 00397
18,000 174, 420 . 00592 J8,000 J23, 120 . 00409
18, 500 179, 265 . OOG38 18, 500 J26, 650 . 00422
19, 000 184, 109 . 01400 19,000 129, 960 . 00435
M>LX. I Max. Max. Max.
20, 250 196, 220 20, 300 138, 850
Elongation in 2" =6.03 Elongation in 2" = 16.5%
I I I I
9
TABLE IV.-Elastic .M~odulus and Ultimate Tensile Strength Test Data-Continued
-'--
6-2-a 8-3-a 10-4-a Il- 4- b
Load, Stress, Strain, Load, Stress, Strain, Load, Stress, Strain, Load, Stress, Strain,
lb. lb .fsq. in. in. fin. lb. lb.fsq. in . in.fin. 1,000 lb. lb./sq. in. in.fin. 1,000 l b. l b.fsq. in. in.fin.
------------ ------------
0 0 0 0 0 1 4, 576 0. 00010 1 4, 766 0. 00012
1, 000 6.831 . 00022 1,000 6, 485 . 00022 2 9, 152 . 00022 2 9, 532 . 00027
2,000 13, 662 . 00014 2,000 12, 970 . 00044 3 13, 728 . 00033 3 14, 298 . 00035
3, 000 20, 493 . 00068 3,000 19, 455 . 00065 4 18, 304 . 00050 4 19, 064 . 00050
4, 000 27, 324 . 00090 4, coo 25, 940 . 00085 5 22,880 . 00065 5 23, 830 . 00065
5, 000 34, 155 . 00113 5, 00-0 32, 425 . 00!07 6 27, 456 . OOOS2 6 28, 596 . 00080
6, 000 40, P86 . 00136 6,000 38. 910 . 00129 7 32, 032 . 00100 7 33, 362 . 00095
7, 000 47, 8 17 . 00160 7, 000 45, 395 . 00150 8 36, 608 . 00ll2 8 38, 128 . 00111
8, 000 54, 648 . 00182 8, 000 51,880 . 00172 9 41, 184 . 00128 9 42, 894 . 00129
9, 000 61, 479 . 00207 9, 000 58, 365 . 00192 10 45, 760 . 00143 JO 47, 894 . 00143
10, 000 68, 310 . 00230 10, 000 64, 850 .00212 II 50, 336 .00158 ll 52, 426 . 00160
11,000 75, 141 . 00252 ll, 000 71, 335 . 00233 12 54, 912 . 00175 12 57, 192 . 00175
12, 000 81, 972 . 00275 12,000 77, 820 . 00255 13 . 59, 488 . 00192 13 61, 958 . 00192
13, 000 88, 803 . 00297 13, 000 84, 305 . 00277 14 64, 064 . 00208 14 66, 958 . 00210
14, 000 95, 634 . 00320 14, 000 90, 790 . 00300 15 68, 640 . 00222 1.5 71, 490 .0022;;
15, 000 102, 465 . 00340 15,000 97, 275 . 00322 16 73, 216 . 002:l8 15 76, 256 . 00240
16, 000 109, 296 . 00368 16, 000 103, 760 . 00342 17 77, 792 . 00257 17 81, 022 . 00262
17,000 l.16, 127 . 00392 17, 000 110, 245 . 00365 18 82, 368 . 00272 18 85, 788 . 00280
18, 000 122, 958 . 00417 18, 000 ll6, 730 . 00388 19 86, 944 . 00289 19 90, 554 . 00293
19, 000 129, 789 . 00443 19, 000 123, 215 . 00410 20 91, 520 . 00307 20 95, 320 . 00308
20, 000 J:l6, 620 . 00470 20, 000 129, 700 . 00432 21 96, 096 . 00327 21 100, 086 . 00328
21 , 000 U3, 451 . 00196 21,000 136, 185 . 00460 22 100, 672 . 00352 22 104, 852 . 00345
22,000 150, 282 . 00521 22,000 142, 670 . 00500 23 105, 248 . OOIOO 23 109, 618 . 00362
23,000 157, 113 . 00555 23, 000 149, 155 . 00580 24 109. 824 . 00800 24 114, 384 . 00380
24, 000 1G3, 934 . 00970 Max. l\•Iax. Max. Max. 25 119, 150 . 00395
Max. Max. 25, 000 162, 130 26. 6 121, 740 26 123, 916 . 00415
24, 800 169, 400 Elongation in 2" =1 1.0% Elongation in 2"=14.03 27 128, 682 . 00427
Elongation in 2" = 10.03 I 28 133, 448 . 00445
29 138, 214 . 00460
30 142, 980 . 00480
31 147, 746 . 00875
Max. Max.
32. 7 155, 860
Elongation in 2" = 12.03
I I
12-4-a 13-5-a and b 15-5-a and b
I
1&-6-a and b
L oad, Stress, Strain, Load, Stress, Strain, Load, Stress, Strain, Load, Stress Strain,
1,000 lbs. lb .fsq. in. in .fin. l,000 lbs. lb .fsq. in. in.fin. 1,000 lbs. lb.fsq. in. in. / in . 1,000 lbs. lb .fsq. in. in.fin .
--------- --- -------- - ----
I 4, 671 o. 00020 1 3,817 0. 00010 0 0 ---------- 2 5, 517 0. 00028
2 9, 342 . 00030 2 7, 634 . 00020 2 7, 797 0. 00024 4 ll, 034 . 00056
3 14, 013 . 00050 3 ll, 451 . 00030 4 15, 596 . 00057 6 16, 552 . 00079
4 18, 684 . 00065 4 15, 268 . 00040 6 23, 918 . 00082 8 22, 069 ----- ---- -
5 23, 355 . 00080 5 19, 085 . 00050 8 3 1, 189 . 00108 10 27, 586 . 00123
6 28, 026 . 00095 6 22, 902 . 00060 10 38, 986 . 00134 12 33, 103 . 001.42
7 32, 697 .001.10 7 26, 719 . 00070 12 46, 784 . 00160 14 38, 621 . 00162
8 37, 368 . 00125 8 30, 536 . 00080 14 54, 581 . 00185 16 44, 138 .00182
9 42, 039 . 00140 9 34, 353 . 00090 16 62, 782 . 00212 18 49, 655 . 00198
IO 46, 710 . 00155 10 38, 170 . 00105 18 70, 175 . 00238 20 55, 172 . 00215
11 51, 381 . 00170 II 41, 987 . 00115 20 77, 973 . 00265 22 60, 689 . 00233
12 56, 052 . 00185 12 45, 804 . 00130 22 85, 770 . 00290 24 66, 207 . 00253
13 60, 723 . 00205 13 49, 621 . 00145 24 93, 567 . 00318 26 71, 724 . 00272
14 65, 394 . 00220 14 53, 438 . 00160 26 IOI, 365 . 00342 28 77, 241 . 00290
15 70, 065 . 00235 15 57, 255 . 00175 28 109, 162 . 00370 30 - --- ------- . 00308
16 74, 736 . 00255 16 61, 072 . 00190 30 ---------- . 00397 32 88, 276 . 00325
17 79, 407 . 00270 17 64, 889 . 00200 32 124, 756 . 00422 34 93, 793 . 00343
18 84, 078 . 00285 18 68, 706 . 00215 34 132, 554 . 00450 36 99, 310 . 00362
19 88, 749 . 00300 19 72, 523 . 00230 36 140, 509 . 00475 38 104, 827 . 00380
20 93, 420 . 00315 20 76, 340 . 00245 38 148, 148 . 00504 40 !JO, 345 . 00400
21 98, 091 . 00330 21 80, 157 . 00255 40 155, 945 . 00530 42 115, 862 . 00417
22 102, 762 . 00345 22 83, 974 . 00270 42 163, 743 . 00560 44 121, 379 . 00433
23 107, 433 . 00355 23 87, 791 . 00280 44 171, 399 . 00585 Max. Max.
24 ll2, 104 . 00370 24 91, 608 . 00295 46 179, 337 . 00630 49. 14 135, 600
25 116, 775 . 00380 25 95, 425 . 00305 Max. Max . Elongation in 2"=21.03
26 121, 446 . 00395 26 99, 242 . 00320 49. 78 194, JOO
27 126, 117 . 00410 27 103, 059 . 00335 Elongat;ion in 2f/=8.03
28 130, 788 . 00425 28 106, 876 . 00345
29 135, 459 . 00440 29 110, 693 . 00360
30 140, 130 . 00455 30 ll4, 510 . 00370
31 144, 801 . 00470 31 118, 327 . 00385
32 149, 472 . 00490 32 122, 144 . 00405
33 154, 143 . 00500 33 125, 961 . 00420
34 158, 814 . 00520 34 129, 778 . 00440
35 163, 485 . 00620 35 133, 595 . 00475
36 168, 156 . 00840 36 137, 412 . 00560
37 172,8 16 . 01120 36. 7 140, 076 . 01000
Max. M ax. Max. Max.
38. 2 178, 300 37. 2 141, 980
E longa tion in 2"=8.03 Elongation in 2" = 15.53
I I I I
10
TABLE I V.- Elastic Modulus and Ultimate Tensile Strength Test Data- Continued
li- 6-b 18-6-a and b 23-8- a 23-8-b
Load, Stress, Strain , Load, Stress, Stra in , Load, Stress, Stra in, Load, Stress, Strain,
1,000 l bs. lb .fsq. in. in.fin. 1,000 lbs. lb.fsq. in. in.fin. 1,000 lbs. lb .fsq. in. in.fin . 1,000 lbs. lb .fsq. in . in .fin.
------------ ---- - - - - ----
2 5, 517 0.00014 2 5, 479 0. 00018 2 0 ------- - -- 2 3, 807· 0. OOOll
4 11, 034 . 00028 4 10, 959 . 00045 4 7, 678 0. 00012 4 7, 614 . 00025
6 16, 552 . 00043 6 16, 438 . 00065 6 11, 517 . 00022 6 11 , 421 . 00038
8 22, 069 . 00063 8 21, 918 . 00084 8 15, 356 . 00032 8 15, 228 . 00049
10 27, 586 . 00082 10 27, 973 . 00103 10 19, 195 . 00045 10 19, 035 . 00060
12 33, 103 . 00094 12 32, 877 . 00121 12 23, 034 . 00053 12 22, 842 . 00071
14 38, 621 . 00116 14 38, 561 . 00140 16 30, 712 . 00075 16 30, 456 . 00095
16 44, 138 . 00135 16 43, 836 . 00159 20 38, 390 . 00097 20 38, 070 . 00120
18 49, 655 . 00154 18 49, 315 . 00180 24 46, 068 . 00120 24 45, 684 . 00148
20 55, 172 . 00173 20 54, 795 . 00196 28 53, 746 . 00145 28 53, 298 . 00171
22 60, 690 . 00192 22 60, 274 . 00214 32 61, 424 . 00168 32 60, 912 . 00197
24 66, 207 . 00212 24 65, 753 ~ 00234 36 69, 102 . 00193 36 68, 526 . 00222
26 71, 724 . 00229 26 71, 233 . 00253 40 76. 780 . 00213 40 76, 140 . 00250
28 77, 241 . 00248 28 76, 123 . 00272 44 84, 458 . 00248 44 83, 754 . 00275
30 82, 759 . 00269 30 82, 192 . 00290 48 92, 136 . 00263 48 83, 754 . 00300
32 88, 276 . 00286 32 87, 671 . 00308 52 99, 814 . 00290 52 9 1, 368 . 00328
34 93, 793 . 00303 34 93, 151 . 00328 56 107, 492 . 00311 56 98, 982 . 00353
36 99, 103 . 00322 36 98. 630 . 00347 60 115, 170 . 00336 60 106, 596 . 00380
38 104, 828 . 00342 38 104, 110 . 00365 64 122, 848 . 00362 64 114, 210 . 00409
40 110, 345 . 00361 40 109, 589 . 00383 68 130, 526 . 00391 68 121,824 . 00439
42 115, 621 . 00378 42 115, 068 . 00403 72 138, 204 . 00426 72 129, 4.38 . 00469
44 121, 379 . 00397 44 120, 548 . 00422 76 145, 882 . 00471 76 137, 052 . 00500
46 126, 897 . 00416 46 126, 027 . 00438 78 149, 721 . 0057.) 78 144, 666 . 00536
48 132, 414 . 00433 48 131, 507 . 00458 80 153, 551 . 00916 80 152, 265 . 01400
50 137, 931 . 00452 50 136, 986 . 00477 Max . Max. Max. Max.
52 143, 448 . 00468 52 142, 466 . 00495 85. 14 163, 600 84.16 162, 500
54 148, 483 . 00483 54 147, 945 . 00513 Elongation in 2" = 18 .03 E longation in 2" = 18 .03
56 154, 483 . 00528 56 153, 425 . 00533
Max. Max. 58 158, 904 . 00550
59. 68 164, 600 60 164, 384 . 00660
Elongation in 2" = 15.5% Max. Max.
I I 68. 13 189, 300
Elong;,tion in 2" = 10.0%
I I ·-
24-8-a 24-8-b 25- 8- a find b 25--9-a and b
Lo•.d Rtress Rtrain Load Stress Strain Lo•d Stress Strain Load Stress Strain
I/JOO lb. lb./sq .in . in.fin . 1,000 lb. lh.fsq. in . in.fin. 1,000 l!:>. lb.jsq.in. in .fin. 1,000 lb. lb./sq. in. in./in.
- - - - ---- - --- ----------- - ---
2 3, 929 --- ------- 2 3, 874 0. G0012 0. 5 -· -------- 0. 00010 0. 2 6, G93 0. 0001 2
4 7, 858 0. 00014 4 7. 748 . 00029 1.0 -- -- ------ . 00040 .4 13, 387 . 00040
6 11. 787 . OCJlll6 6 11, 622 . on015 1. 5 23, 712 . 00070 . ~ 20, 080 . 000()<1
8 lfi, 711) . 00038 8 15, 496 . 00058 2.0 31, 615 .OOlOP. . 8 26, 774 . 00088
12 23, 574 . 00060 10 19, 370 . ()1\()72 2.5 39, 5rn . 0013Q 1.0 33, 467 .00100
lG 31, 432 . 00084 12 23, 244 . 00084 3. 0 47, 423 . 00155 1. 2 40, 161 . 00132
20 39, 290 .00106 14 2i, ll8 . 00098 3. 5 55, 327 . 00210 1. 4 46, 854 . 00158
24 47, 148 . 00130 16 :lO, 992 . 00110 4. 0 63, 231 . 0~240 1. 6 53, 548 . 00183
28 55', 006 . 001 57 20 38, 7·\0 . 00135 4. 5 71, 135 . 00265 1. 8 60, 241 . 00208
32 62, 864 . 00182 24 45, 488 . 00161 5. 0 79, 039 . 00295 2. 0 66, 934 . 0()235
36 70, 722 . 00210 28 54, 236 . 00185 5. 5 86, 427 . 00320 2. 2 73, 628 . 00260
40 78, 580 . 00240 32 61. 984 . ()112 11 6. 0 94, 847 . 00350 2. 4 80, 321 . 00289
44 86, 438 . 00252 36 69; 732 . 00235 6. 5 102. 750 . 00380 2. 6 87, 015 . 00318
48 9'1, 296 . 00288 40 77, 480 . 00260 7. 0 HO, f,54 . 00405 2. 8 93, 708 . 00350
52 102, 154 . 00315 44 85, 228 . 00287 7. 5 118, 558 . 00430 3. 0 100, 402 . 00390
56 110, 012 . 00343 48 92, 976 . 003!0 8. () 126, 462 . 00460 3. 2 107, 095 . 00440
I 60 117, 870 . 00372 52 100, 724 . 00335 8. f> 134. 366 . 00490 3. 4 113, 788 . 00550
Ci4 125, 728 . 00402 56 108, 472 . 00360 9. 0 142, 270 . 00550 3. 6 120, 4~2
68 133, 586 . 00.\32 60 116. 220 . 00385 ·Max. Max . i\i(ax.
72 141, 444 . 004Ci4 64 123, 968 . 00410 206, 500 3. 72 124, 400
76 149, 302 . 00489 RS 131, 716 . 00435 (Rock- Elongation in 2"=12.0%
80 157, 160 .00512 72 139, 454 . 00460 well)
84 ms, 018 . 00582 76 147, 212 . 00485
86 168, 947 . P,0884 80 154, 960 . 005 10
87 170, 923 .OH:'OO 84 162, 708 . 00535
87. 9 172, 692 . 01120 87 168, 507 . 00577
SP. 6 176, 031
I
. 01330 87. 9 170, 250 . 01400
90. 9 178, 5 ~5 . 01 670 Max. Max.
Max. Mnx. 96. li7 187, 200
92. 36 183, 900 Elongation in 2"= 13.5%
Elongation in 211= 13 .5% I I I I I
11
TABLE IV.-Elastic Modiilus and Ultimate Tensile Slrength Test Data-Continue:i
2i- 9-b 29-Hl-b 30- Hl-a 31- 10-a '.lnd h
Load Stress Strain L oud Stress Strain Load Stress Strnin Lnnd Strnss Strain
1,000 lb . l b./sq. in. in .fin. 1,000 lb. lb ./sq. in . in.fin. 1,000 lb. lb ./sr1.in. in.fin. 1,000 lb . l iJ ./sq. in. in .fin.
0. 2 7, 003 0. 00010
.4 14, 006 . 00020
. 6 21,008 . 00050
.8 28. Oll . 00070
LO 35, 014 .00091
L 2 42, 017 . OO!ll
1.4 49, 020 . 00132
l. 6 56, 022 . 00152
1. 8 63, 025 . 00180
2. 0 70, 028 . 00200
2. 2 77, 031 .00221
2. 4 % , 034 . 00248
2.6 91, 0~6 . 00270
2. 8 98, 0~9 . 00292
3. 0 105, 042 . 00315
3. 2 112, 045 . 00340
3. 4 119, 048 . 00365
3. 6 126, 050 . 00302
3. 8 133, 05:1 . 00420
1. 0 140, 056 . 00453
Max. Max.
4. 64 162, 700
Elongation in 2"=8.0%
32-ll- a and b
Load Stress S train
1,000 lb . lb .jsq. in. in .fin.
-------- ----
0. 2 5, 030 0. 00023
.4 10, 060 . 00048
.6 15, 09l . 00070
.8 20, 121 . 00087
LO 25, 151 . 00105
l. 2 30, 181 . 00122
1.4 3.1, 211 .00140
I. 6 40, 241 . 00157
1. 8 45, 272 . 00177
2. 0 50, 302 . 00195
2. 2 55. 332 . 00210
2. 4 50. 362 . 00225
2. ti 65. 392 . 00240
2. 8 70, 423 . 00260
3. 0 75, 453 . 00275
3. 4 85, 513 . 00315
3. 8 95, 573 . 00342
4. 2 105, 634 . 00387
4. 6 115, 694 . 00525
4.8 120, 724 . 00800
Max. M ax.
5. 23 I 131, 540
E longa tion in 2"= 11.03
I
-1-- - - 1---- - - ---------------1-----1
0. 2 6, 766
. 4 13, !'i~2 0. 0002'\
.6 20, 298 . 00042
.8 2i, Oil4 . 00052
I. 0 33, 829 . 00082
I. 2 1W, 595 . 00102
I. 4 47, 361 . 00122
l. 6 54, 127 . 00145
1. 8 60, 893 . 00168
2. 0 67, 659 . 00190
2. 2 '14, 425 . 00210
2. 4 81, 191 . 00235
2. 6 87, 957 . 00258
2. 8 94, 722 . 00282
3. 0 101, 488 . 00il05
3. 2 108. 250 . 00330
3. 4 ; 15, 02G . 00360
3. 6 121, 786 . 00392
3. 8 128, 552 . 00432
1\1~x . 1\'Iax.
4. 21 142, 700 "'"T; .. ;. ,.~ ...
33-l!- b
Load St ress S train
1,000 lh. l b.jsq. in . in .fin .
0. 4 10, 298 0. 00028
.8 20, 596 . 00058
l. 2 30, 894 . 00090
I. 6 41, 192 . 00125
2. 0 51, 490 . 00170
2. 4 61, i88 . 00212
2.8 72, 086 . 00250
3. 2 82, ~84 . 00290
3. 6 92, 682 . 00330
4.0 102, 980 . 00367
4.4 113, 278 . 00405
4. 8 12.3, 576 . 00445
5. 2 133, 874 . 00492
5. 6 144, 172 . 00590
5. 8 147, 528 . 00875
M ax . Max.
6. 1 157, 050
E longation in 2"=9.5%
I
'
I
0. 2
.4
. 6
. 8
l. 0
I. 2
I. 4
I. G
1. 8
2. 0
2. 2
2. 4
2. 6
2. 8
3. 0
3. 2
3. 4
3. 6
3. 8
4.0
4. 2
l\1ax.
4. 69
6, 835
13, 6i0
20, 506
27, 341
34, 176
41, 012
47, R47
54, 6S2
61, 517
68, 353
75.188
82, 023
88, 858
95, 594
102, 529
1C9. SM
116, 199
123, 035
129, 870
136, 700
143, 540
.\[ax.
160, 000
0. 00008
. 00040
. 00012
. 00101
. 00125
. 00152
. 001i5
. 00200
. 00227
. 00250
. 00275
. 00300
. 00325
. 00350
. 0037[.
. 00400
. 00425
. 004;;()
. 00480
. 00505
. 00540
Elongation in 2''= 8.0o/c.
I
I
I
3.J-11- b
Load Stress Stra in
1,000 lb . l b./sq . in. in .Jin.
- - ------- ---
0. 4 9, 954 0. 00027
.8 19, 908 . 00057
I. 2 29, 862 . 00090
I. 6 39, 816 . 00125
2. 0 49, 770 . 00160
2. 4 59, 724 . 00195
2.8 69, 678 . 00232
3. 2 79, 632 . 00265
3. 6 89, 586 . 00300
4. 0 99, 540 . 00337
4. 4 109, 494 . 00367
4. 8 119, 448 . 00402
5. 2 129, 402 . 00431
5. 6 139, 356 . 00477
5. 8 149, 3 10 . 00512
6. 2 159, 264 . 00570
6.fi 168, 492 . 00875
Max. Max.
7. 32 182, 180
Elongation in 2"=7.0%
0. 2
. 4
. 6
.8
LO
I. 2
I. 4
1.6
l.8
2. 0
2. 2
2.4
2.6
2.8
3. 0
3. 2
3. 4
3. 6
3. 8
4. 0
4. 2
4. 4
4. 6
4.8
5. 0
Max.
5. 55
6,835
13, 671
20, 506
27, 341
34, 176
41, 012
47, R47
54, 682
61, 517
68, 352
75, 187
82, 023
88, 858
95, 691
102, 529
109, 36't
l!G, 120
123, 035
129, 870
136, 705
143, 541
150, 376
157, 211
164, 046
170, 882
~tax.
!SY, 300
0. 00010
. C0022
. 00040
. 00055
. 000i5
. 00093
. 00!15
1--:-~~~ .
. or.220
. 00240
. 002G5
. 00290
. 00320
. 00335
. 00360
. 00380
. 00410
. 00430
. 00460
. 00490
. 00522
. 00500
EloDJ!Ulinn in 2''= 5.0%
I I
36-12- a and b
Load S t r ess Strain
l ,000 lb . lb ./sq . in. in .fin.
0. 2 4, 383 0. 00030
. 4 8, 766 . 00060
.6 13, 149 . 00090
. 8 17, 532 . 00117
1.0 21, 915 . 00145
I. 2 26, 298 . 00167
I. 4 30, 681 .00192
I. 6 35, 064 . 00212
1. 8 39, 447 . 00232
2. 0 43, S30 . 00252
2. 2 48, 213 . 00274
2. 4 52, 596 . 00297
2. 6 56, 979 . 00330
2. 8 6l, 362 . 00360
3. 0 65, 745 . 00390
3. 2 70, 128 . 00420
3. 4 74, 511 . 00450
3. 6 78, 894 . 00480
3. 8 83, 277 . 00510
4. 0 87, 660 . 00535
4. 2 92, 043 . 00565
4. 4 96, 426 . 00595
4. 6 100, 809 . 00625
4. 8 105, 192 . 00650
5. 0 109, 575 . 00680
5. 2 11 3, 958 . 00705
5. 4 118, 341 . 00730
5. 6 122, 724 . 00760
5. 8 126, 555 . 00790
6. 0 130, 938 . 00825
6. 2 135, 321 . 00860
6. 4 139, 704 . 00900
6. 6 144, 087 . 00970
6. 8 149, 025 . 01180
Max. Max.
7. 4 162, liO
E lon gation in 2" = 10.03
I I
12
TABLE IV.-Elastic Modulus and Ultimate Tensile Strength Test Data-Continued
41-14-a 46-17-b 48- 17-a 48-17- b
Load Stress Strain Load Stress Strain l.oad Stress Strain Load Stress Strain
1,000 lb. lb./sQ. in. in.fin . 1,000 lb. lb.fsq. in. in .fin. 1,000 lb. lb .fsq. in. in.fin. 1,000 lb. lb .fsq. in. in .fin.
- - -- - - ------ ----·l-----1----- - ---- - - - ---- --- --1-----1----
0. 4 9, 678 0. 00022 0. 4 8, 542 0. 00022
.8 19,356 . 00047 . 8 17, 081 . 00053
I. 2 29, 034 . 00085 I. 2 25, 626 . 00082
1. 6 38, 712 . 00122 1. 6 34, 168 . 00115
2.0 48, 390 .00162 2. 0 42, 710 . 00145
2. 4 58, 068 . 00195 2.4 51,252 .00175
2. 8 67, 746 . 00230 2. 8 59, 794 . 00205
3. 2 77, 424 . 00262 3. 2 68, 336 . 00235
3. 6 87, 102 . 00295 3. 6 76, 878 . 00267
4. 0 96, 780 . 00330 4. 0 85, 420 . 00300
4. 4 106, 458 . 00362 4. 4 93, 962 . 00332
4. 8 116, 136 . 00395
5. 2 125, SH . 00430
4. 8 lQ? 504 . 00370
5. 2 ll 1: 046 . 00420
5. 6 135, 492 . 00465 5. 6 119, 581 . 00750
6. 0 145, 170 . 00500
6. 4 154 ' 848 . 00537
Elongation in 2" = 12.5%
6. 8 164, 526 . 00587
7. 2 174, 207 . 00875
Elongation in 2" =6.5%
49-18- b
0. 4 8, 632
.8 17.264
I. 2 25, 896
1. 6 34, 528
2. 0 43, 160
2. 4 .51, 792
2. 8 60, 424
3. 2 69, 056
3. 6 77, 68S
4. 0 86, 320
4. 4 94, 952
4. 8 103, 584
5.2 112, 216
5. 6 120. 848
6. 0 129, 480
6. 4 138, ll2
G. 8 146, 744
7. 2 15.5, 375
7. 4 159, 692
7. 6 164, 008
7.8 168,324
Max. Max.
8. 3 179, 110
0. 00027
. 0005.5
. 00090
. 00119
. 00151
.00182
. 00212
. 00245
. 00275
. 00306
. 00336
. 00357
. 00392
. 00430
.00•16.1
. 00497
. 00530
. 00565
. 00597
. 00660
. 00865
Elongation in 2"= 7.53
I I
50- 18-a
0. 4 8, 856
.8 Iii 712
I. 2 26, 568
1. 6 35, 424
2. 0 44, 2&0
2. 4 53, 136
2. 8 61, 992
3. 2 70. 84S
3. 6 79. 704
4. 0 88, 560
4. 4 97. 416
4. 8 106, 272
5. 2 115. 128
5. 6 123, 984
6. 0 132, 840
6.4 141,696
6. 8 150, 552
7. 2 159, 408
7. 6 168, 253
Max. Max.
8. 07 178, 660
0. 0002.1
. 00050
. 00077
. 00107
. 00140
. 00172
. 00207
. 00237
. 00270
. 00305
. 00337
. 00367
. 00402
. 00435
. 00467
. 00500
. 00537
. 00580
. 00825
Elongation in 2"=7.03
I I
49-18-a I 50-18-b
l--------·----1 ---~---~~-~ 11----0----~---- 11---~----~---1
Load Stress I Strain Load Stress
1,000 lb. lb.fsq . in. in.fin. 1,000 lb. lb.fsq. in.
Strain
in .fin.
-------- ---- ----·l-----1----
0. 4 7, 220
. 8 14, 440
1. 2 21, 660
1. 6 28, 880
2. 0 36, 100
2. 4 43, 320
2. 8 50, 540
3. 2 57, 760
3. 6 64, 980
4. 0 72, 200
4. 4 79, 420
4. 8 86, 640
5. 2 93, 860
5. 6 101, 080
6. 0 108, 300
6. 4 115, 523
Max. Max.
7. 01 126. 530
0. 00020
. 00044
. 00070
. 00097
.00124
. 00152
. 00181
. 00207
. 00237
. 00262
. 00292
. 00317
. 00347
. 00377
. 00415
. 00825
"''~r,, ,, ,,r,·
I \
0. 4 6, 908 0. 00020
. 8 13,816 .00041
1. 2 20, 724 . 00064
1. 6 27, 632 . 00087
2. 0 34, 540 . 00110
2. 4 41, 448 . 00136
2. 8 48, 356 . 00161
3. 2 55, 264 . 00186
3. 6 62, 172 . 00211
4. 0 69, 080 . 00237
4. 4 7 5, 988 . 00262
4. 8 82, 896 . 002S7
5. 2 89, 804 . 00315
5. 6 96, 712 . 00340
6. 0 103, 620 . 00365
6. 4 110, 528 . 00389
7. 2 117, 444 . 00412
Max. Max.
7. 49 129, 360 '"'T'"" ''T >% 11
Load Stress
1,000 lb. lb.fsq. in.
0. 4 6, 920
. 8 13, 840
1. 2 20, 760
1. 6 27, 680
2. 0 34, 600
2. 4 41, 520
2. 8 48, 440
3. 2 55, 360
3. 6 62, 280
4. 0 69, 200
4. 4 76, 120
4. 8 83, 040
5. 2 89, 960
5. 6 96, 880
6. 0 l03, 800
6. 4 110, 720
6. 8 117, 640
7. 2 124, 560
7. 6 131, 480
8. 0 138, 400
8. 4 145, 328
1\IIax. Max.
Strain
in .fin.
0. 00022
. 00045
. 00067
. 00092
. 00120
. 00147
. 00172
. 00202
. 00227
. 00255
. 00280
. 00307
. 00332
. 00307
. 00385
. 00415
. 00442
. 00465
. 00505
. 00875
8. 94 154, 670
E longation in 2"=11.03
I I
Load StresR
1,000 lb. lb.fsq. in.
0. 4 7, 339
. 8 14, 678
1.2 22, 017
1. 6 29, 356
2. 0 36, 695
2. 4 44, 034
2. 8 51, 373
3. 2 58, 712
3. 6 66, 051
4. 0 73, 390
4. 4 80, 729
4. 8 88, 068
5. 2 95, 407
5. 6 102, 746
6. 0 110, 085
6. 4 117, 424
6. 8 124, 763
7. 2 132, 102
7. 6 139,441
8. 0 146, 789
Max. 1a.-x.
8. 31 152, 480
Strain
in .fin.
0. 00025
. 00045
. 00067
. 00092
. 00120
. 00147
. 00172
. 00202
. 00227
. 00255
. 00280
. 00307
. 00332
. 00357
. 00385
. 00415
.OOH2
. 00465
. 00505
. 00875
Elongation in 2" ~ 11.0%
I I
13
TABLE IV.- Elastic latfodulits and Ultimate Tensile Strength Test Data-Continued
51-18-a 52-18-a 53-19-a 54-19-a
Load Stress Strain Load Stress Strain Load Stress I Stra in Load Stress Strain
' 1,000 lb. lh./sq. in. in.Jin. l,000 lb. lb./sq. in. in .fin. 1,000 lb. lh./sq. in. in.fin. 1,000 lb. lb./sq. in. in.fin.
--- -------- ---- ---- ~1 0.00012 ----
0.4 6, 920 0. 00020 0.4 6, 326 0. 00020 0. 2 0. 2 6, 135 0. 00015
. 8 13, 840 . 00041 .8 12, 652 . 0004.5 .4 12, 456 . 00034 . 4 12, 270 . 00029
l. 2 20, 760 . 00061 I. 2 18, 978 . 00066 .6 18, 684 . 0005G . 6 18. 405 . 00045
1.6 27, 680 . 00085 l. 6 25, 304 . 00090 .8 24, 912 . 00080 .8 24, 540 . OOOil
2. 0 34, 600 .00110 2.0 31, 630 . 0011.5 I. 0 31, 140 . 00105 I . 0 30, 675 .00091
2. 4 41, 520 . 00135 2.4 37, 95G . 00140 I. 2 37, 368 . 00128 l. 2 36, 810 . 00115
2.8 48. 440 . 00162 2.8 44, 282 . 00162 I. 4 '13, 596 . 00153 I. 4 42, 945 . 00135
3. 2 55, 360 . 00185 3. 2 50, 608 . 00185 l. 6 49,824 . OOHS l 6 49, 080 . 00160
3. 6 62, 280 . 00210 I 3.6 .56, 934 . 00205 l.8 56, 052 . 00195 1.8 .55, 215 . 00182
4. 0 69, 200 . 00235 4. 0 63, 260 . 00230 2. 0 62, 280 .00215 2. 0 61, 350 .00203
4. 4 i6, 120 . 00265 4. 4 69, 586 . 00252 2. 2 68, 508 . 00235 2. 2 67, 485 . 00224
4. 8 &3, 040 . 0028.5 4.8 75, 912 . 00272 2.'I 74, 736 . 00255 2. 4 73, 620 . 00244
5. 2 89, 960 . 00310 5. 2 82, 238 . 00295 2.6 80, 964 . 00275 2.6 79, 755 . 00265
5. 6 96, 880 . 00335 5. 6 88, 564 . 00315 2.8 87, 192 . 00295 2. 8 85, 890 . 00287
11.0 103, 800 . 00360 6. 0 94, 890 . oo:l37 3. 0 93, 420 .00315 3. 0 92, 025 . 003!0
6. 4 no, 720 . 00385 6. 4 IOI, 216 . OO:J60 :J. 2 99, 648 . 00335 3. 2 98, 160 . 00332
6. 8 JI?, 640 . 00410 6. 8 107, 512 . 00382 3. 4 105, 876 . 00355 3. 4 104, 295 . 00352
7. 2 124, 560 . 00432 7. 2 113, 868 . 00405 3. 6 112, 104 . 00370 3. 6 l !O, 430 . 00375
7. 6 131,480 . 00457 7. 6 120, 194 . 00425 3. 8 118, 332 . 00390 3. 8 116, 565 . 00402
8. 0 138, 400 . 00480 8. 0 126, 520 . 00447 4. 0 121, 457 . 00850 4.0 122, 700 . 00430
8. 4 145, 320 . 00505 8. 4 132, 846 . 00470 Max . Max. 4. 2 128, 835 . 00920
8. 8 152, 240 . 00530 8. 8 139, 172 . 00492 4. 25 132, 360 4.4 134, 970 . 00495
9. 2 159, 160 . 00567 9. 2 145, 498 . 00517 Elong~tion in 2" = 12.03 4. 6 141, 105 . 00540
9. 6 166, 090 . 00575 9. 6 151, 824 . 00542 4. 8 147, 240 . 00620
10. 0 167, 820 . 00850 10.0 158, 150 . 00570 5. 0 153, 374 . 00875
Max. Max. 10. 4 164, 476 . 00592 Max. J\Iax.
10. 2 l76, 470 10.8 170, 802 . 00632 5. 35 164, 110
E longation in 2"=9.53 11. 2 177, 128 . 00667 Elongation in 2"=8.03
I
11. 6 183, 457 . 00722
12. 0 188, 992 . 00875
Max. Max.
13. 4 211, 920
' Elongation in 2" = 7.53 I I I
I 55-19-a 57-20-a 58-20-a and b
I
63-1
Load, Stress, Strain, Load, Stress, Strain, Load, Stress, Strain Load, Stress, Strain,
1,000 lb. lb./sq. in. in.fin. 1,000 lb. lb. /sq . in. in.Jin. 1,000 lb. lb./sq. in. in.fin.' 1,000 lb. lb./sq. in. in.fin.
---- -------- ---- ---- -------- ---- ----
0. 4 13, 378 o. 00037 0.4 6, 952 o. 00017 o. 4 7, 037 0. 00017 0. 2 3, 953 o. 00020
.8 26, 756 . 00080 . 8 13, 904 . 00035 .8 14, 074 . 00040 . 4 7, 905 . 00034
l. 2 40, 134 .00 130 1. 2 20, 856 . 00057 l. 2 21, lll . OOC60 . 6 11, 858 . 00049
1. 6 53, 5 12 .00172 1. 6 27, 808 . 00080 J.f, 28, 148 . 00080 .8 15, 810 . 00062
2. 0 66, 890 . 00215 2. 0 34, 760 . 00102 2. 0 35, 185 . 00100 I. 0 19, 763 . 00077
2.4 80, 268 . 00265 2.4 41, 712 .00122 2.4 42, 222 . 00125 J. 2 23, 715 .00091
2.8 93, 646 . 00305 2.8 48, 664 . 00150 2.8 49, 259 . 00145 J. 4 27, 668 . 00106
3. 2 107, 024 . 00347 3. 2 55, 616 . 00177 3. 2 56, 296 . 00167
I
l. 6 31, 205 . 00120
3. 6 120, 402 . 00390 3. 6 62, 568 . 00202 3. fi 63, 333 . 00192 1.8 35, 573 . 00134
4. 0 133. 780 . 00435 4. 0 69, 520 . 00230 4. 0 70, 370 . 00212 2. 0 39, 257 . 00149
4. 4 147, 158 . 00482 4. 4 76, 472 . 00255 4. 4 77, 407 . 00235 2. 2 43, 478 . 00162
4. 8 160, .13fi . 0053-> 4. 8 83, 424 . 00282 4. 8 84, 444 . 00267 2.4 47, 431 . 00176
5. 2 173, 914 . 00620 5. 2 90, 376 . 00307 5. 2 91, 481 . 00280 2. 6 51, 383 . 00!92
5. 6 178, 595 . 00875 5. 6 97, 3.28 . 00332 5. G 98, 518 . 00302 2. 8 55, 336 . 00208
Max. Max. 6. 0 104, 280 . 00362 6. 0 105, 555 . 00325 3. 0 59, 289 . 00222
5. 7 190, 640 6. 4 lll, 232 . 00390 6. 4 ll2, 592 . 00350 3. 2 63, 241 . 00237
Elongation in 2" =7.0% 6. 8 118, 184 . 00417 6.8 l!9, 629 . 00375 3. 4 67, 194 . 00253
I 7. 2 125, 136 . 00445 7. 2 126, 666 . 00395 3. 6 71, 146 . 00268
7. 6 132, 088 . 00475 7. 6 133, 703 . 00420 3. 8 75, 099 . 00283
8. 0 139, 040 . 00520 8. 0 140, 740 . 00442 4. 0 79, 051 . 00302
8. 4 145, 992 . 00700 8. 4 147. 777 . 00465 4. 2 P3, 001 . 003 15
Max. Max. 8. 8 154: 814 . 00490 4. 4 86, 956 . 00340
9. 0 156, 410 9. 2 161,851 . 00520 4. 6 90, 909 . 00960
"'l'~" '" ,.r"' 9. 6 168, 888 . 00540 Max. J\fax .
11
10. 0 175, 925 . 0057.5 5. 05 99, 700
J\[ax. Max. Elongation in 2" =31.03
l l. 25 197, 920 Elongation in 2"=7.53 I I
I i
62600-34--3
14
'TABL.F; IV.- Elaslic Moduliis and Ultimate Tensile Strength Test Data-Continued
64-1 I 67-1
Load, I Stress, Strain, Load, Stress, Strain ,
l,000 lb. lb ./sq. in . in.fin. 1,000 lb. l b .fsq . in. in.fin.
~-- ----
0.4 0. 00012 5. 0 12, 219 0. OOOlO
. 6 . 00027 10 24, 439 . 00033
.8 . 00042 15 36, 659 . 00068
l. 0 19, 208 . 00055 20 48, 878 . 00101
l. 2 . 00070 25 61. 098 . 00135
1. 4 . 00083 30 73. 317 . 00170
1. 6 . 00097 35 85, 537 . 00209
2.0 38, 417 . 00127 40 97, 756 . 00248
2. 4 . 00151 45 109, 976 . 00287
2. 6 . 00164 50 122, 1911 . 00330
2. 8 . 00178 55 134, 415 . 00373
3. 0 57, fi26 . 00192 60 146, 635 . 00420
3. 4 . 00216 65 158, 854 . 00460
3. 8 . 00242 70 171 ,074 . 00535
4. 2 . 00270 75 183, 293
4. 6 . 00299 1\iiax. Max.
5. 0 96, 043
I
. 00324 Elon ~ation in 2"=6.0%
5. 4 . 00352
5. 8 . 00375
6. 2 . 00405
6. 6 . 00432
7. 0 134, 460 . 00458
7. 4 . 00483
7. 8 . 00510
8. 2 . 00536
8. 6 . 00565
9. 0 172, 877 . 00592
I
Max. Max.
9. 14 175. 530
Elongation in 2"~16.03
I I
TABLE V.-Dimensions of bend test samples
No.
J-l-b _________________ _
3-1-b_ - ---------- ---- --
45--22--ba __ _-_-_-_-_-_-_-_-_-_-_-_-_-_--_-_ -_
6-2-a _________________ _
8-3-(I __ - ---------------
l0-4- a - - - -- ------ ------
1112--44--ba_ _ _-_-_-_-_-_-_-_-_-_-_-_-_-_-_- -_
13-5-a ____________ . ___ _
13-5-b_ - -------------- -
15-5-a. __ ------------- _
15-5-b _ - --- ------ -- --- -
16-G-a ________________ _
16-G-b_ - - - --------- ----
17-&-b_ - -- - ------------
18-6-a _____ ----------- -
18-6- b. - - - - ------- --- --
23-8-a __________ ____ __ _
23-8- b_ - - -- -- ----- --- - -
24-8-a . ____ -- -- -- - --- --
24-8-b_ - -- ----- - - -- ----
25-8-a __ --------- _____ _
2265--98--ba ._ _--_-_-_-__-_-_--_-__--__-_-_- -_
26-9-b. - - - ---- --- ------
27-9-b_ - -- ------ ---- ---
29-lQ-b_ - ------ - -------
30-10-a. ____________ -- -
31- JO-a ___ ___ ______ ---
31-10-b_ - --- ------- -- --
32-11-a. ______________ _
32-11-b_ - ----- - --------
33-11-b_ - - ---- ----- - ---
34-11-b_ - ---- -- -- ---- --
3G-l 2-a _________ -------
--------------
--------------
----------- - --
--------------
--------------
----------- - - -
--------------
--------------
--- --------
--------------
--------------
--------------
--------------
--------------
--------------
--------------
--------------
--------------
--------------
--------------
--------------
--------------
--------------
--------------
--------------
--------------
--------------
--------------
- -- - ---~----- -
--------------
------------ - -
--------------
--- -----------
--------------
--------------
--------------
3&-12-/J _ - -- - - ---------- --------------
41 - 14-a_ - -- - --------- --
46- 17-b_ - ------ ---------
--------------
-------------
48-17-a ________ -------- --------------
48-17-b __ ------ -------- -------- -- ----
49- 18-a __ ---------------
49-18-b. - --------------
-------------
--------- ---- -
50-18-a ___ ---- --------- --------------
50-18-b. - ---- - ---- - ---- -------------- 51- 18-a _______________ _ -------------- 52-18-a _______________ _ --- - ----------
*Width.
Nominal
size, inches
1 x 0. 035
1 x . 035
1 x . 049
1 x . 049
1 x . 0-19
1 x . 058
172 x . 049
11 .-, x . 049
1~; ~ . 049
1;-2 x . 053
13-2 x . 0.58
172 x . 058
i ;,~ x . 058
l1 '2 x . 033
1 ~2 x . 083
172 x . 083
l }-2 x . 083
112 s . 083
]1 '> x . 120 l;,; x . 120
] It) X . 120
1)/, ' .120
]1 9 x . 120
1 ,~X . 120
2 x . 058
2 x . 053
2 x . 058
2 x . 058
2 x . 058
2 x . 065
2 x . 065
2 x . 033
2 x . 083
2 x . 083
2 x . 083
2 x . 095
2 x . 095
27:\ x . os:i
3 x . 095
3 x . 095
3 x . 095
3 x . 120
3 x . 120
3 x . 120
3 x . J20
3 x . 120
3 x . 120
Diam- Thick-eier,
ness,
inches inch
----
0. 998 o. 032
1. 000 . 034
1. 000 . 019
. 999 . 049
1. 000 . 049
. 996 . 052
J. 497 . 048
1. 498 . 046
1. 498 . 047
1. 496 . 058
1. 495 . 058
1. 496 . 056
I. 496 . 056
1. 501 . 081
J. 501 . 081
1. 501 . 081
l. 501 . 082
I. 501 . 082
l . 502 . 120
I. 503 12l
1. 50l 117
I. 500 . 110
* . 506 . 125
* . 506 . J25
.* . 5065 . 058 . 5065 . 058
.* . 501 . 057 . 501 . 059
.* . .5 045 . 058 .. 5045 . 058 .. 50~15 . 058 .. 497 .oso . 497 . 080
* . 493 . 078
* . 496 . 081
* . 496 .092
* . 496 . 092
* . 492 . 084
* . 493 . 09.5
* . 489 . 099
* . 491 . 002
* . 495 - 112
* . 495 . 117
* . 494 . !17
* . 491 . lll
* . 494 ll7
* . 4U3 .130
Area,
square
inch
----
0. 0972
.1032
. 1464
. 1462
. 1464
. 1542
. 2185
. 2098
. 2141
. 2620
. 2620
. 2565
. 2565
. 3625
. 3625
. 3625
. 3650
. 3650
. 5210
. 5254
. 5090
. 5163
. 0632
. 0632
. 02988
. 02\J
. 02856
. 02956
. 02926
. 02926
. 02926
. 03976
. 03976
. 03881
. 04018
. 04563
. 04563
. 0413
. 0463
. 0484[
. 04517
. 0554
. 0579
. 0578
. 0545
. 0578
. 06409
J' I
15
TABLE V.-Dimensions of bend test samples-Continued
No. Nominal
size, inches
53-19-a __ -------------- ___ _ -------- -_ 2)1 x 0. 065
54-1!!-a __ ----------------- --- -------- 2)1 x . 065
55-1!!-a _________ ------------------ ___ 211 x . 065
57- 20-a ____________________________ __ 2!1 x . 120
5588--2200--ba ______ _·_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_- 22!H2 xx .. 112200
6643--11_ _-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_- 11'1 x . 058 12 x .120
67-L ________________________________ l Y, x .083
•Width.
Diam­eter,
inches
* 0. 4Y4
•. 494
•. 491
•. 496
•. 490
•. 490
1. 502
1.50l
•. 499
Thick­ness,
inch
0. 065
. 066
. 061
.116
.116
.116
. 055
. 120
. 082
Area,
square
inch
0. 03211
. 0320
. 0299
. 05754
. 05684
. 05684
. 2515
. 5206
. 0;092
TABLE VI.-Tests on Y.-inch diameter hea.t-trealed chrome-molybdenum bars
l\laxi-
No. murn Length,
load, inches
pounds
BJI,
in ches
I,
inch 4
c.
inch
MC
]'
lb.fsq. in.
U.T.S.,
lb.fsq. in.
1--------------------- -------- ---- -----1-------1
l _________________________________ l , 525 30 7, 625 0. 0154 0. 372 184. 000 125-130, 000 2 ______ __ _________________________ I, 845 30 9, 230 . 0154 '372 223, 800 135-140, 000 3 ______________________________ ___ 2, 045 30 10, 235 .0154 . 372 248, 000 140-145, 000 4 _________________________________
2, 147 30 10, 735 . 0154 . 372 260, 000 155-160, 000
FIGURE 1. .FIG URF. 2 .
16
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