Chapter 4: Practice problems 1. A cantilever beam of length 4 m carries point loads of 1 kN, 2 kN and 3 kN at 1, 2 and 4 m from the fixed end. Construct the shear force and bending moment diagrams for the cantilever. 1m 1 kN 8 + 1m 2 kN + 2m 3 kN D

Mechanics of Materials (MindTap Course List)
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Chapter4: Shear Forces And Bending Moments
Section: Chapter Questions
Problem 4.5.25P: A beam ABCD with a vertical arm CE is supported as a simple beam at .1 and D (see figure). A cable...
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Chapter 4: Practice problems
f 1 kN, 2 kN and 3 kN at 1, 2 and 4 m
1. A cantilever beam of length 4 m carries point loads
from the fixed end. Construct the shear force and bending moment diagrams for the cantilever.
1m
A
1 kN
2m
8
4m
1m
4 kN
C
+
2. A simply supported beam of length 8 m carries point loads of 4 kN and 6 kN at a distance of
2 m and 4 m from the left end. Construct the shear force and bending moment diagram for the
beam.
2m
2 kN
8 m
C
+
6 kN
2m
D
3 kN
D
4. Draw the shear force and bending moment diagram for a simply supported beam of length 9
m and carrying a uniformly distributed load of 10 kN/m for a distance of 6 m from the left end.
Also calculate the maximum B.M. on the section.
3. A cantilever of length 2.0 m carries a uniformly distributed load of 2 kN/m length over the
whole length and a point load of 3 kN at the free end. Draw the S.F. and B.M. diagrams for the
cantilever beam.
References:
[1] A text book of Mechanics of materials by Dr.R.K.Bansal, Laxmi publishers, Published
December 30th 2005.
[2] A text book of Strength of materials by R.S.Khurmi,S.Chand Publishers, 2008.
[3] Mechanics of Solids, Bhavikatti, S.S. New Age International Ltd 2000,ISBN: ISBN
number: 9788122427660, ISBN number: 9788122428582(ProQuest)
Transcribed Image Text:Chapter 4: Practice problems f 1 kN, 2 kN and 3 kN at 1, 2 and 4 m 1. A cantilever beam of length 4 m carries point loads from the fixed end. Construct the shear force and bending moment diagrams for the cantilever. 1m A 1 kN 2m 8 4m 1m 4 kN C + 2. A simply supported beam of length 8 m carries point loads of 4 kN and 6 kN at a distance of 2 m and 4 m from the left end. Construct the shear force and bending moment diagram for the beam. 2m 2 kN 8 m C + 6 kN 2m D 3 kN D 4. Draw the shear force and bending moment diagram for a simply supported beam of length 9 m and carrying a uniformly distributed load of 10 kN/m for a distance of 6 m from the left end. Also calculate the maximum B.M. on the section. 3. A cantilever of length 2.0 m carries a uniformly distributed load of 2 kN/m length over the whole length and a point load of 3 kN at the free end. Draw the S.F. and B.M. diagrams for the cantilever beam. References: [1] A text book of Mechanics of materials by Dr.R.K.Bansal, Laxmi publishers, Published December 30th 2005. [2] A text book of Strength of materials by R.S.Khurmi,S.Chand Publishers, 2008. [3] Mechanics of Solids, Bhavikatti, S.S. New Age International Ltd 2000,ISBN: ISBN number: 9788122427660, ISBN number: 9788122428582(ProQuest)
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