Prob. 3.7-2. Elements (1) and (2) were supposed to fit ex- actly between the rigid walls at A and C in Fig. P3.7-1. However, element (1) was manufactured a small amount. 8L, too long. However, an ingenious technician was able to compress element (1) and insert it in the space between A and B (indicated by dashed lines). (a) Determine expres- sions for the stress o, induced in element (1) and the stress induced in element (2), and (b) determine the amount t by which element (2) is shortened when element (1) is forced into the dashed-line position. Assume &L in calculating the flexibility coefficient f₁. Solve Parts (a) and (b) of Prob. 3.7-1 for the following rod systems: System Sl: E₁ = E, E = 2E, and A₁ A, A₂ = 1.5A L L+8 с

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Chapter2: Loads On Structures
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Prob. 3.7-2. Elements (1) and (2) were supposed to fit ex-
actly between the rigid walls at A and C in Fig. P3.7-1.
However, element (1) was manufactured a small amount,
8L, too long. However, an ingenious technician was able
to compress element (1) and insert it in the space between
A and B (indicated by dashed lines). (a) Determine expres-
sions for the stress or induced in element (1) and the stress
o induced in element (2), and (b) determine the amount t
by which element (2) is shortened when element (1) is forced
into the dashed-line position. Assume &L in calculating
the flexibility coefficient f₁.
Solve Parts (a) and (b) of Prob. 3.7-1 for the
following rod systems: System S1: E₁ = E, E, = 2E, and
System S2: E = 2E, E = E. Discuss the difference in the
stresses induced in the rods in these two cases.
A₁ A, A₂ = 1.5A
L
-L+8
B
P3.7-1, P3.7-2
(2)
Transcribed Image Text:Prob. 3.7-2. Elements (1) and (2) were supposed to fit ex- actly between the rigid walls at A and C in Fig. P3.7-1. However, element (1) was manufactured a small amount, 8L, too long. However, an ingenious technician was able to compress element (1) and insert it in the space between A and B (indicated by dashed lines). (a) Determine expres- sions for the stress or induced in element (1) and the stress o induced in element (2), and (b) determine the amount t by which element (2) is shortened when element (1) is forced into the dashed-line position. Assume &L in calculating the flexibility coefficient f₁. Solve Parts (a) and (b) of Prob. 3.7-1 for the following rod systems: System S1: E₁ = E, E, = 2E, and System S2: E = 2E, E = E. Discuss the difference in the stresses induced in the rods in these two cases. A₁ A, A₂ = 1.5A L -L+8 B P3.7-1, P3.7-2 (2)
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