The propped cantilever beam shown below has a length of 12 meters and is supported by a roller at A and a fixed support at B. The beam has a modulus of elasticity of E = 200 GPa and a constant moment of inertia I = 255(106) mm4. If the beam is subjected to a uniform distributed load of w = 15 kN/m, determine the following using the CONJUGATE BEAM METHOD: 1. Reactions at the supports A and B. 2. Slope at the free end. 3. Maximum deflection. В 2L 3 NIM

The propped cantilever beam shown below has a length of 12 meters and is supported by a roller at A and a fixed support at B. The beam has a modulus of elasticity of E = 200 GPa and a constant moment of inertia I = 255(106) mm4. If the beam is subjected to a uniform distributed load of w = 15 kN/m, determine the following using the CONJUGATE BEAM METHOD: 1. Reactions at the supports A and B. 2. Slope at the free end. 3. Maximum deflection. В 2L 3 NIM

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

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.

Question

The propped cantilever beam shown below has a length of 12 meters and is supported by a roller at A
and a fixed support at B. The beam has a modulus of elasticity of E = 200 GPa and a constant moment of
inertia I = 255(106) mm4. If the beam is subjected to a uniform distributed load of w = 15 kN/m,
determine the following using the CONJUGATE BEAM METHOD:
1. Reactions at the supports A and B.
2. Slope at the free end.
3. Maximum deflection.
В
2L
3
NIM

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Step 3: Calculation of reactions at the supports A and B

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Step 4: Calculation of slope at free end C and maximum deflection

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