A cantilever beam is 6m long with a EI = 20MNm^2. It has a point load of P=3kN at the free end and a u.d.l of q = 500N/m along its entire length. FIND: 1.)Reaction at A. 2.)Moment at A. Calculate the following at the free end; 3.) slope. 4.)deflection.

A cantilever beam is 6m long with a EI = 20MNm^2. It has a point load of P=3kN at the free end and a u.d.l of q = 500N/m along its entire length. FIND: 1.)Reaction at A. 2.)Moment at A. Calculate the following at the free end; 3.) slope. 4.)deflection.

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

A cantilever beam is 6m long with a EI = 20MNm^2. It has a point load of P=3kN at the free end and a u.d.l of q = 500N/m along its entire length.

FIND:

1.)Reaction at A.

2.)Moment at A.

Calculate the following at the free end;

3.) slope.

4.)deflection.

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Step 1: Reaction at A

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Step 3: Slope at free end

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Step 4: Deflection at free end

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