Using the slope deflection method, sketch the bending moment and shear force diagrams of the portal frame shown below. Joint E sinks by 6 mm. Young's modulus = 200 kN/mm² Second moment of area of columns = 94 X 105 mm Second moment of area of beams = 175X 10 mm* 601 h с 1.Im 160 KN 3m

Using the slope deflection method, sketch the bending moment and shear force diagrams of the portal frame shown below. Joint E sinks by 6 mm. Young's modulus = 200 kN/mm² Second moment of area of columns = 94 X 105 mm Second moment of area of beams = 175X 10 mm* 601 h с 1.Im 160 KN 3m

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.

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Step 1: Given

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Step 2: Determination of flexural rigidity

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Solution

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Step 3: Fixed end moments

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Step 4: Boundary conditions and Equilibrium equations

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Step 5: Slope deflection equations

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Step 6: Slope deflection equations

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Step 7: Equilibrium equations

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Step 8: Determination of support moments

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Step 9: Free body diagram

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Step 10: Shear force and Bending moment diagram

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