For the beam structure shown below, both C and E are rollers, support A is pinned. El is constant within the structure. (1) Determine the degree of indeterminacy of the structure. (2) Choose appropriate redundant(s), then apply the Force Method to calculate reaction forces at all supports. (3) Draw shear and moment diagrams of the beam (4) Apply the Conjugate Beam Method to calculate the vertical deflection at point B.

For the beam structure shown below, both C and E are rollers, support A is pinned. El is constant within the structure. (1) Determine the degree of indeterminacy of the structure. (2) Choose appropriate redundant(s), then apply the Force Method to calculate reaction forces at all supports. (3) Draw shear and moment diagrams of the beam (4) Apply the Conjugate Beam Method to calculate the vertical deflection at point B.

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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Question

For the beam structure shown below, both C and E are rollers, support A is pinned. El is constant
within the structure.
(1) Determine the degree of indeterminacy of the structure.
(2) Choose appropriate redundant(s), then apply the Force Method to calculate reaction forces
at all supports.
(3) Draw shear and moment diagrams of the beam
(4) Apply the Conjugate Beam Method to calculate the vertical deflection at point B.
-12 ft-
30 k
↓
B
H
-12 ft-
-12 ft-
E = 29,000 ksi
I = 1,500 in.4
30 k
↓
D
-12 ft-

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Step 1: State the given data

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Step 2: Determine the degree of indeterminacy

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Step 3: Draw SFD and BMD

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Step 4: Determine deflection at B

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