The continuous beam shown below has an internal hinge at point C. The beam is loaded with two concentrated loads as shown. Determine: a) the vertical deflection at C, b) the vertical deflection at F, c) the rotation at A, and d) the rotations to the right and to the left of hinge C.

The continuous beam shown below has an internal hinge at point C. The beam is loaded with two concentrated loads as shown. Determine: a) the vertical deflection at C, b) the vertical deflection at F, c) the rotation at A, and d) the rotations to the right and to the left of hinge C.

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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Concept explainers

Laws of Equilibrium

A body is said to be in equilibrium if the system of forces acting on the body tends to keep the body at rest, in other words, there is no translation motion or net torque on the body. Under such conditions, the equilibrium conditions are to be applied to analyze the condition. The branch of mechanics that deals with this condition is known as 'statics'. Under equilibrium, there are no net forces on the body.

Question

Problem 9
The continuous beam shown below has an internal hinge at point C. The beam is loaded
with two concentrated loads as shown. Determine: a) the vertical deflection at C, b) the
vertical deflection at F, c) the rotation at A, and d) the rotations to the right and to the
left of hinge C.
A
10⁰
I
=
40k
B
10¹
5000 int
J
He
10
A
15'
2 = 2,500 in
10'
4
5
Le

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Step 3 M/EI diagram

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Step 4 Conjugate beam

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Step 5 Support reactions in conjugate beam

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Step 6 Computation of deflection

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Step 7 Computation of deflection

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Step 8 Computation of slope

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Step 9 Computation of slope

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