A beam ABCDEF is 10 m long and is supported at points B and E which are 2 m and 9 m respectively from A towards the left-hand end. The beam carries a concentrated load of 10 kN at A, a concentrated load of W kN at C, which is 5 m from A, and a concentrated load of 16 kN at D which is 4 m from point F. In addition a beam carries a uniformly distributed load of 4 kN/m from A to C and uniformly distributed load of 3 kN/m from D to F. Draw a free body diagram showing expression from the above statement Calculate the magnitude of W if a point of contraflexure is 3 m from A. Calculate the magnitude of the reactions at B and E Draw the shear force and bending moment diagrams showing all relevant

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter10: Statically Indeterminate Beams
Section: Chapter Questions
Problem 10.3.4P: A fixed-end beam AB of a length L supports a uniform load of intensity q (see figure). Beginning...
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Question 1: [Shear stresses and bending moments]
A beam ABCDEF is 10 m long and is supported at points B and E which are 2 m and 9 m
respectively from A towards the left-hand end. The beam carries a concentrated load of 10
kN at A, a concentrated load of W kN at C, which is 5 m from A, and a concentrated load
of 16 kN at D which is 4 m from point F. In addition a beam carries a uniformly distributed
load of 4 kN/m from A to C and uniformly distributed load of 3 kN/m from D to F.
1.1
Draw a free body diagram showing expression from the above statement
1.2
Calculate the magnitude of W if a point of contraflexure is 3 m from A.
1.3
Calculate the magnitude of the reactions at B and E
1.4
Draw the shear force and bending moment diagrams showing all relevant
values.
1.5
Calculate the position of the other point of contraflexure
Transcribed Image Text:Question 1: [Shear stresses and bending moments] A beam ABCDEF is 10 m long and is supported at points B and E which are 2 m and 9 m respectively from A towards the left-hand end. The beam carries a concentrated load of 10 kN at A, a concentrated load of W kN at C, which is 5 m from A, and a concentrated load of 16 kN at D which is 4 m from point F. In addition a beam carries a uniformly distributed load of 4 kN/m from A to C and uniformly distributed load of 3 kN/m from D to F. 1.1 Draw a free body diagram showing expression from the above statement 1.2 Calculate the magnitude of W if a point of contraflexure is 3 m from A. 1.3 Calculate the magnitude of the reactions at B and E 1.4 Draw the shear force and bending moment diagrams showing all relevant values. 1.5 Calculate the position of the other point of contraflexure
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