Which set of compatibility equations matches the following torsion members connected end-to-end in series?

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.2.15P: Repeat Problem 11.2-14 using L = 12 ft, ß = 0.25 kips/in., ßRl= 1.5ßL2, and ßR2= 2 ßR1.
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Which set of compatibility equations matches the following torsion members connected end-to-end in series?
30 in.
O
||
=
C
a
560
8₁
a
& + gap
05/0
18 in.
6 in.
(2)
0 & + ₂ = 0
О ф, = фг
0 8₁ = 8₂
-
8₂
04+₂=0
& + ₂ = constant
Ta
(3)
8₁ + gap = 8₂
&₁ = & + gap
D.
& + ₂ = constant
8 in.
(2)
Transcribed Image Text:Which set of compatibility equations matches the following torsion members connected end-to-end in series? 30 in. O || = C a 560 8₁ a & + gap 05/0 18 in. 6 in. (2) 0 & + ₂ = 0 О ф, = фг 0 8₁ = 8₂ - 8₂ 04+₂=0 & + ₂ = constant Ta (3) 8₁ + gap = 8₂ &₁ = & + gap D. & + ₂ = constant 8 in. (2)
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