A cantilever beam is subjected to load Pat mid-span and counterclockwise moment M at B (see figure). (Solve the problem by the method of superposition. The beam has constant flexural rigidity EI. Use the following as necessary: L, P, E, and I. Enter the magnitudes.) 1/2 11/2 A El-constant (a) Find an expression for moment M in terms of the load P so that the reaction moment M, at A is equal to zero. M (b) Find an expression for moment M in terms of the load P so that the deflection is g = 0. M = Also, what is rotation ? B (c) Find an expression for moment M in terms of the load P so that the rotation 0g = 0. M = Also, what is deflection &g?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A cantilever beam is subjected to load P at mid-span and counterclockwise moment M at B (see figure). (Solve the problem by the method of superposition. The beam has constant flexural rigidity EI. Use the following as necessary: L, P, E, and I. Enter the
magnitudes.)
ľ
M
L/2
L/2
El = constant
A
B
(a) Find an expression for moment M in terms of the load P so that the reaction moment Mat A is equal to zero.
M =
(b) Find an expression for moment M in terms of the load P so that the deflection is 8 = 0.
M =
Also, what is rotation ?
88 =
(c) Find an expression for moment M in terms of the load P so that the rotation 8 = 0.
B
M =
Also, what is deflection 8g?
Transcribed Image Text:A cantilever beam is subjected to load P at mid-span and counterclockwise moment M at B (see figure). (Solve the problem by the method of superposition. The beam has constant flexural rigidity EI. Use the following as necessary: L, P, E, and I. Enter the magnitudes.) ľ M L/2 L/2 El = constant A B (a) Find an expression for moment M in terms of the load P so that the reaction moment Mat A is equal to zero. M = (b) Find an expression for moment M in terms of the load P so that the deflection is 8 = 0. M = Also, what is rotation ? 88 = (c) Find an expression for moment M in terms of the load P so that the rotation 8 = 0. B M = Also, what is deflection 8g?
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