A beam of 6m span is built-in at both ends having the cross-section as shown in figure below. It carries a clockwise couple of 100kN.m and a concentrated load of 50kN at Im and 5m respectively from left-hand end together with a uniformly distributed load of 25kN/m extending from 1.5m to 4.5m from left-hand end. (a) Find the fixing moments at each end of the beam, (b) Draw shear stress distribution across the section at mid-span of the beam, stating the main values. Cross-Section Area All dimensions in mm 50 80 10 10

A beam of 6m span is built-in at both ends having the cross-section as shown in figure below. It carries a clockwise couple of 100kN.m and a concentrated load of 50kN at Im and 5m respectively from left-hand end together with a uniformly distributed load of 25kN/m extending from 1.5m to 4.5m from left-hand end. (a) Find the fixing moments at each end of the beam, (b) Draw shear stress distribution across the section at mid-span of the beam, stating the main values. Cross-Section Area All dimensions in mm 50 80 10 10

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

Q3: A beam of 6m span is built-in at both ends having the cross-section as shown in figure
below. It carries a clockwise couple of 100kN.m and a concentrated load of 50kN at 1m
and 5m respectively from left-hand end together with a uniformly distributed load of
25kN/m extending from 1.5m to 4.5m from left-hand end. (a) Find the fixing moments at
each end of the beam, (b) Draw shear stress distribution across the section at mid-span of
the beam, stating the main values.
Cross-Section Area
All dimensions in mm
40
50
40
$10
80
10
10

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Step 1: given information

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Step 2: superposition

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Step 3: combined fixed end moments

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Step 4: reactions

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Step 5: shear force and box method

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Step 6: shear stress at levels A, B, C

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Step 7: shear stress at level D and final profile

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