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.) El - constant (a) Find an expression for moment M in terms the load P so that the reaction moment M. at A is equal to zero. (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 ? (c) Find an expression for moment M in terms of the load P so that the rotation e, = 0. M = Also, what is deflection 8? 8g =

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Chapter10: Plate Girders
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Problem 10.7.9P
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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.)
M
L/2
L/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 8, = o.
M =
Also, what is rotation 8?
(c) Find an expression for moment M in terms of the load P so that the rotation e, = 0.
M =
Also, what is deflection 8?
83 =
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.) M L/2 L/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 8, = o. M = Also, what is rotation 8? (c) Find an expression for moment M in terms of the load P so that the rotation e, = 0. M = Also, what is deflection 8? 83 =
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