1) A cantilever beam is subjected to a 15 kN/m uniform distributed load over the 6m distance of a support. At the end of the beam there is a 20 kN.m moment. Using the double integration method; a) Draw the elastic curve of the cantilever beam b) Determine the slope and deflection at the point where the moment is zero. c) Determine the slope and deflection at the point where the shear force equal to 30 kN. 20 kN.m 15 kN/m 6 m

1) A cantilever beam is subjected to a 15 kN/m uniform distributed load over the 6m distance of a support. At the end of the beam there is a 20 kN.m moment. Using the double integration method; a) Draw the elastic curve of the cantilever beam b) Determine the slope and deflection at the point where the moment is zero. c) Determine the slope and deflection at the point where the shear force equal to 30 kN. 20 kN.m 15 kN/m 6 m

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

1) A cantilever beam is subjected to a 15 kN/m uniform distributed load over the 6m
distance of a support. At the end of the beam there is a 20 kN.m moment. Using the
double integration method;
a) Draw the elastic curve of the cantilever beam
b) Determine the slope and deflection at the point where the moment is zero.
c) Determine the slope and deflection at the point where the shear force equal to 30 kN.
20 kN.m
15 kN/m
6 m

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Step 2: Location of zero moment

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Step 3: Double integration method

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Step 4: Differential elastic curve equation

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Step 5: Boundary conditions

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Step 6: Slope and deflection equation

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Step 7: Slope and deflection at zero moment

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Step 8: Slope and deflection at shear force of 30 kN

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