A cantilever beam caries a varying load over a span of 9 meters. If the load increases from 0 kN/m at the fixed end to 22 kN/m at the free end, determine the deflection (Ely in kN-m³) at a point 3.4 meters from the fixed end. Include sign if necessary.

A cantilever beam caries a varying load over a span of 9 meters. If the load increases from 0 kN/m at the fixed end to 22 kN/m at the free end, determine the deflection (Ely in kN-m³) at a point 3.4 meters from the fixed end. Include sign if necessary.

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

A cantilever beam caries a varying load over a span of 9 meters. If the load increases from 0 kN/m at the fixed end to 22 kN/m at the free end, determine the deflection (Ely in kN-m³) at a point 3.4 meters from
the fixed end. Include sign if necessary.

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Step 1: Given cantilever beam with uniformly variable load.

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Step 2: Calculation of Reaction , Moment function.

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Step 3: Calculate the constant and deflection.

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