Derive the equation of the elastic curve for the simply supported beam that is loaded by the concentrated couple Mo.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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1.) (a) Derive the equation of the elastic curve for the simply supported beam that is loaded by the concentrated couple Mo.

1. (a) Derive the equation of the elastic curve for the simply supported beam that is loaded
by the concentrated couple Mo. (b) Compute the value of El at the point of application of
Мо.
2. (a) Determine the equation of the elastic curve for the overhanging beam; and (b)
calculate the value of Ely midway between the supports.
300 NAm
1 27 AN m
-3m-t-3 m-t3 m -+ 3 m-
3. Determine all the support reactions for the propped cantilever beam shown in the figure.
4. For the beam with built-in ends, determine (a) all the support reactions; and(b) the
displacement at the midpoint C. (Hint: Use symmetry.)
100 Ivit
100 lh/t
5. The beam ABC has a built-in support at A and roller supports at B and C. Find all the
support reactions.
120 Ib/ft
Transcribed Image Text:1. (a) Derive the equation of the elastic curve for the simply supported beam that is loaded by the concentrated couple Mo. (b) Compute the value of El at the point of application of Мо. 2. (a) Determine the equation of the elastic curve for the overhanging beam; and (b) calculate the value of Ely midway between the supports. 300 NAm 1 27 AN m -3m-t-3 m-t3 m -+ 3 m- 3. Determine all the support reactions for the propped cantilever beam shown in the figure. 4. For the beam with built-in ends, determine (a) all the support reactions; and(b) the displacement at the midpoint C. (Hint: Use symmetry.) 100 Ivit 100 lh/t 5. The beam ABC has a built-in support at A and roller supports at B and C. Find all the support reactions. 120 Ib/ft
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