Q2. Figure Q2 shows the free body diagram of a 10 m long beam AD of uniform cross-section, simply supported at locations A and C. A uniformly distributed load of 10 kN/m is applied on the part AB of the beam together with a concentrated load of 20 kN at the end D. 10KN/m 20kN 4m 4m 2m Fig.Q2: Structural Beam (a) Draw a free body diagram and find the reaction forces at the supports A and C. (b) Draw the shear force diagram (SFD) for the beam and show the values at А, В, С and D. (c) Draw the bending moment diagram (BMD) and show the values at A, B, C and D. (d) From the SFD drawn in (b), find the distance from point A to the position between points A and B where there is no shear and determine the bending moment at that position. Write the mathematical expression for shear force V at section X-X between the points B and C which is at distance x measured from support А. (e)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Q2. Figure Q2 shows the free body diagram of a 10 m long beam AD of uniform
cross-section, simply supported at locations A and C. A uniformly distributed load
of 10 kN/m is applied on the part AB of the beam together with a concentrated
load of 20 kN at the end D.
10KN/m
20kN
4m
4m
2m
Fig.Q2: Structural Beam
(a) Draw a free body diagram and find the reaction forces at the supports A
and C.
(b)
Draw the shear force diagram (SFD) for the beam and show the values at
А, В, С and D.
(c)
Draw the bending moment diagram (BMD) and show the values at A, B, C
and D.
(d)
From the SFD drawn in (b), find the distance from point A to the position
between points A and B where there is no shear and determine the
bending moment at that position.
Write the mathematical expression for shear force V at section X-X
between the points B and C which is at distance x measured from support
А.
(e)
Transcribed Image Text:Q2. Figure Q2 shows the free body diagram of a 10 m long beam AD of uniform cross-section, simply supported at locations A and C. A uniformly distributed load of 10 kN/m is applied on the part AB of the beam together with a concentrated load of 20 kN at the end D. 10KN/m 20kN 4m 4m 2m Fig.Q2: Structural Beam (a) Draw a free body diagram and find the reaction forces at the supports A and C. (b) Draw the shear force diagram (SFD) for the beam and show the values at А, В, С and D. (c) Draw the bending moment diagram (BMD) and show the values at A, B, C and D. (d) From the SFD drawn in (b), find the distance from point A to the position between points A and B where there is no shear and determine the bending moment at that position. Write the mathematical expression for shear force V at section X-X between the points B and C which is at distance x measured from support А. (e)
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