A light uniform beam of flexural rigidity EI is simply supported at A and D. A uniform load at P per unit length is applied to A

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A light uniform beam of flexural rigidity EI is simply supported at A and D. A uniform load at P per unit length is applied to AB 

A light uniform beam of flexural rigidity El is simply supported at A and D. A uniform load of p per unit
length is applied to AB and a clockwise couple of value pĽ²/8 is applied at C. AD=L, AB=L/2, AC=3L/4.
Determine the deflection at B.
a.
pL4
512EI
C.
5pLª
1536EI
pL4
PL4
b.
d.
1536EI
768EI
Determine the slope at B.
pL³
a.
256EI
b.
pL³
256EI
d.
pL³
768EI
A third support is now introduced at B such that it is on same level as those at A and D. Find the
reaction at B when the above loading is applied.
pL
PL
a.
C.
8
32
pL
b.
d.
16
pL³
768EI
PL
64
Transcribed Image Text:A light uniform beam of flexural rigidity El is simply supported at A and D. A uniform load of p per unit length is applied to AB and a clockwise couple of value pĽ²/8 is applied at C. AD=L, AB=L/2, AC=3L/4. Determine the deflection at B. a. pL4 512EI C. 5pLª 1536EI pL4 PL4 b. d. 1536EI 768EI Determine the slope at B. pL³ a. 256EI b. pL³ 256EI d. pL³ 768EI A third support is now introduced at B such that it is on same level as those at A and D. Find the reaction at B when the above loading is applied. pL PL a. C. 8 32 pL b. d. 16 pL³ 768EI PL 64
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