Prob. 3.5-1. Two uniform, linearly elastic members are joined together at B, and the resulting two-segment rod is at- tached to rigid supports at ends A and C. A single external force, PB, is applied symmetrically around the joint at B. Member (1) has modulus E1, cross-sectional area A1, and length L1; member (2) is made of material with modulus E2, and has a cross-sectional area A2 and length L2. (a) Develop symbolic expressions for the axial stresses oj and o, in the respective segments, and (b) develop a symbolic expression for the horizontal displacement, u B, of joint B. B (2) A (1) PB Р3.5-1, Р3.5-2, Р3.5-3, Р3.8-1, РЗ.8-2, Р3.8-24 and P3.9-1
Prob. 3.5-1. Two uniform, linearly elastic members are joined together at B, and the resulting two-segment rod is at- tached to rigid supports at ends A and C. A single external force, PB, is applied symmetrically around the joint at B. Member (1) has modulus E1, cross-sectional area A1, and length L1; member (2) is made of material with modulus E2, and has a cross-sectional area A2 and length L2. (a) Develop symbolic expressions for the axial stresses oj and o, in the respective segments, and (b) develop a symbolic expression for the horizontal displacement, u B, of joint B. B (2) A (1) PB Р3.5-1, Р3.5-2, Р3.5-3, Р3.8-1, РЗ.8-2, Р3.8-24 and P3.9-1
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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PROBLEM 3.5-1
![Prob. 3.5-1. Two uniform, linearly elastic members are
joined together at B, and the resulting two-segment rod is at-
tached to rigid supports at ends A and C. A single external
force, PB, is applied symmetrically around the joint at B.
Member (1) has modulus E1, cross-sectional area A1, and
length L1; member (2) is made of material with modulus E2,
and has a cross-sectional area A2 and length L2. (a) Develop
symbolic expressions for the axial stresses oj and o, in the
respective segments, and (b) develop a symbolic expression
for the horizontal displacement, u B, of joint B.
B
(2)
A
(1)
PB
Р3.5-1, Р3.5-2, Р3.5-3, Р3.8-1, РЗ.8-2, Р3.8-24
and P3.9-1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b0889ad-f499-45d5-9320-c99c7e78a262%2F3eff8a13-c7d9-4b55-acf2-2d5a6d82f090%2F6q04sate_processed.png&w=3840&q=75)
Transcribed Image Text:Prob. 3.5-1. Two uniform, linearly elastic members are
joined together at B, and the resulting two-segment rod is at-
tached to rigid supports at ends A and C. A single external
force, PB, is applied symmetrically around the joint at B.
Member (1) has modulus E1, cross-sectional area A1, and
length L1; member (2) is made of material with modulus E2,
and has a cross-sectional area A2 and length L2. (a) Develop
symbolic expressions for the axial stresses oj and o, in the
respective segments, and (b) develop a symbolic expression
for the horizontal displacement, u B, of joint B.
B
(2)
A
(1)
PB
Р3.5-1, Р3.5-2, Р3.5-3, Р3.8-1, РЗ.8-2, Р3.8-24
and P3.9-1
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