1) A simple supported beam is subjected to a 10 kN/m uniform distributed load over the 6m distance of A support. At the the B support there is a 40 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 maximum. c) Determine the slope and deflection at the point where the shear force equal to 12,5 kN. mmin 10 kN/m 6 m 2 m 40 kN/m

1) A simple supported beam is subjected to a 10 kN/m uniform distributed load over the 6m distance of A support. At the the B support there is a 40 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 maximum. c) Determine the slope and deflection at the point where the shear force equal to 12,5 kN. mmin 10 kN/m 6 m 2 m 40 kN/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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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

1) A simple supported beam is subjected to a 10 kN/m uniform distributed load over the
6m distance of A support. At the the B support there is a 40 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 maximum.
c) Determine the slope and deflection at the point where the shear force equal to 12,5 kN.
MIHA
The
10 kN/m
6 m
2 m
40 kN/m

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Step 1: Given:-

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Step 2: Support reactions

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Step 3: Shear force and bending moment calculations

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Step 4: Double integration method

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Step 5: Boundary conditions

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Step 6: Slope and deflection at maximum moment

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Step 7: Slope and deflection at a point where shear force is equal to 12.5 kN

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