Prob. 3.9-3. The five-segment stepped rod shown in Fig. P3.9- 3 is stress free when it is attached to rigid supports at ends A and F. Subsequently, it is subjected to two external loads of magnitude P at nodes B and D, as shown in Fig. P3.9-3. The bar is homogeneous with modulus of elasticity E, and the cross-sectional areas are A₁ = A5 = A, and A₂ = A4 = 2A, and A3 = 3A. Use the Force Method to solve for the reaction PF at end F. (Hint: Let PF = F5 be the redundant force, and use the Force Method to solve directly for this force.) (1) P B (2) ·L——— L. c (3) P P3.9-3 D (4) E (5) F PF

Prob. 3.9-3. The five-segment stepped rod shown in Fig. P3.9- 3 is stress free when it is attached to rigid supports at ends A and F. Subsequently, it is subjected to two external loads of magnitude P at nodes B and D, as shown in Fig. P3.9-3. The bar is homogeneous with modulus of elasticity E, and the cross-sectional areas are A₁ = A5 = A, and A₂ = A4 = 2A, and A3 = 3A. Use the Force Method to solve for the reaction PF at end F. (Hint: Let PF = F5 be the redundant force, and use the Force Method to solve directly for this force.) (1) P B (2) ·L——— L. c (3) P P3.9-3 D (4) E (5) F PF

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Prob. 3.9-3. The five-segment stepped rod shown in Fig. P3.9-
3 is stress free when it is attached to rigid supports at ends A
and F. Subsequently, it is subjected to two external loads of
magnitude P at nodes B and D, as shown in Fig. P3.9-3. The
bar is homogeneous with modulus of elasticity E, and the
cross-sectional areas are A₁ = A5 = A, and A₂ = A4 = 2A,
and A3 = 3A. Use the Force Method to solve for the reaction
PF at end F. (Hint: Let PF = F5 be the redundant force, and
use the Force Method to solve directly for this force.)
(1)
P
B
(2)
·L——— L.
c (3)
P
P3.9-3
D
(4) E
(5) F
PF

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