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(a) Compute the reaction at support B of the beam shown below using the force method. (b) Compute the vertical displacement at point C in terms of EI. (Hint: The equation in the box below can be used to compute any needed displacements). A 4 m 30 kN 4m B 60 3 m 20 kN 3 m D

(a) Compute the reaction at support B of the beam shown below using the force method. (b) Compute the vertical displacement at point C in terms of EI. (Hint: The equation in the box below can be used to compute any needed displacements). A 4 m 30 kN 4m B 60 3 m 20 kN 3 m D

Structural Analysis
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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(FEM) AB = (FEM) AB = (₁ (FEM) AB= (FEM) AB = (FEM)'AB (FEM)'AB = (FEM)'AB = (FEM)'AB = PL Pb²a L² Fixed-end Moment Table for Original Slope-deflection Equations 2PL 9 L 5PL 16 3PL 16 ان PL P a L 4 15PL 32 ·a P P ·L L L 4+4+4+÷· P L 4 P L b²a + Р P + P P a²b 1/3 + P L 4 P P (FEM)BA ·b + (FEM)BA 14344 (FEM)BA B b B (FEM) BA L L 4 B Fixed-end Moment Table for Modified Slope-deflection Equations B B + B B PL Pa²b L² 2PL 9 SPL 16 (FEM) AB= (FEM) AB= (FEM) AB = (FEM)AB = (FEM)'AB (FEM) 'AB = wL² 12 W 11wL² 192 (FEM)'AB W wL² 20 (FEM)'AB = 5wL² 96 W L راستا انسان wL² 8 VYYY W ·L W L W 9wL² 128 liit L 2 W (FEM)BA= (FEM)BA= (FEM)BA (FEM)BA B B wL² 15 Jantillage 5wL² 64 B wL² 12 SwL² 192 wL2 30 5wL² 96
Transcribed Image Text:(FEM) AB = (FEM) AB = (₁ (FEM) AB= (FEM) AB = (FEM)'AB (FEM)'AB = (FEM)'AB = (FEM)'AB = PL Pb²a L² Fixed-end Moment Table for Original Slope-deflection Equations 2PL 9 L 5PL 16 3PL 16 ان PL P a L 4 15PL 32 ·a P P ·L L L 4+4+4+÷· P L 4 P L b²a + Р P + P P a²b 1/3 + P L 4 P P (FEM)BA ·b + (FEM)BA 14344 (FEM)BA B b B (FEM) BA L L 4 B Fixed-end Moment Table for Modified Slope-deflection Equations B B + B B PL Pa²b L² 2PL 9 SPL 16 (FEM) AB= (FEM) AB= (FEM) AB = (FEM)AB = (FEM)'AB (FEM) 'AB = wL² 12 W 11wL² 192 (FEM)'AB W wL² 20 (FEM)'AB = 5wL² 96 W L راستا انسان wL² 8 VYYY W ·L W L W 9wL² 128 liit L 2 W (FEM)BA= (FEM)BA= (FEM)BA (FEM)BA B B wL² 15 Jantillage 5wL² 64 B wL² 12 SwL² 192 wL2 30 5wL² 96
(a) Compute the reaction at support B of the beam shown below using the force method. (b) Compute the vertical displacement at point C in terms of EI. (Hint: The equation in the box below can be used to compute any needed displacements). A 4 m 30 kN L -b. 4 m B 3 m 20 kN 6 с Displacement, A (upward positive): Pbx 6LEI 0 < x <a Δ= 3 m D (L² - 6² - x²) Zd
Transcribed Image Text:(a) Compute the reaction at support B of the beam shown below using the force method. (b) Compute the vertical displacement at point C in terms of EI. (Hint: The equation in the box below can be used to compute any needed displacements). A 4 m 30 kN L -b. 4 m B 3 m 20 kN 6 с Displacement, A (upward positive): Pbx 6LEI 0 < x <a Δ= 3 m D (L² - 6² - x²) Zd
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