A cantilever beam with span of 3 meter long is loaded with uniformly distributed load m over a length of two meter from the fixed end. Determine slope and deflection at the d of the cantilever using area moment method. Take E = 2.1x108 kN/m² and 1= 0.00009

A cantilever beam with span of 3 meter long is loaded with uniformly distributed load m over a length of two meter from the fixed end. Determine slope and deflection at the d of the cantilever using area moment method. Take E = 2.1x108 kN/m² and 1= 0.00009

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

Q.16. A cantilever beam with span of 3 meter long is loaded with uniformly distributed load
15 kN/m over a length of two meter from the fixed end. Determine slope and deflection at the
free end of the cantilever using area moment method. Take E = 2.1x108 kN/m² and 1= 0.000095
m.

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Q.16. A cantilever beam with span of 3 meter long is loaded with uniformly distributed load 15 kN/m over a length of two meter from the fixed end. Determine slope and deflection at the free end of the cantilever using area moment method. Take E = 2.1x108 kN/m² and 1= 0.000095 m.
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For the loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam, (b) the deflection at the free end, and (c) the slope at the free end. Assume that El is constant for the beam. Let wO = 11 kN/m, L = 5.5 m, E = 180 GPa, andI = 105 x 106 mm4. Wo B
Q.16. A cantilever beam with span of 3 meter long is loaded with uniformly distributed load 15 kN/m over a length of two meter from the fixed end. Determine slope and deflection at the free end of the cantilever using area moment method. Take E = 2.1x108 kN/m² and 1= 0.000095 m.