Situation 3 Using double integration method, determine the slope and deflection at midspan of the simply supported beam shown. Use L = 5 m, a = 3m, E = 180 GPa, and I = 120x106 mm² P = 21 kN a EI P L-a

Situation 3 Using double integration method, determine the slope and deflection at midspan of the simply supported beam shown. Use L = 5 m, a = 3m, E = 180 GPa, and I = 120x106 mm² P = 21 kN a EI P L-a

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

Situation 3 Using double integration method, determine the slope and
deflection at midspan of the simply supported beam shown. Use L = 5 m,
a = 3m, E = 180 GPa, and I = 120x10 mm4
P = 21 kN
a
EI
P
L-a

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Step 1: State the given data

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Step 2: Determine the support reaction

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Step 3: Using Double Integration Method

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Step 4: Apply boundary condition

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Step 5: Determine the slope at the midspan

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Step 6: Determine the deflection at the midspan

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