3. (a) Figure Q3(a) shows a beam ABC comprising a simply supported span AB of length L and an overhang BC of length L. A concentrated load P is applied at a point on the overhang BC, which is at a distance of a from support B. If the flexural rigidity of the entire beam is El, derive an expression for the vertical deflection & at the tip C.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A
C
а
L
L
Figure Q3(a) A simply supported beam with overhang
P= 6 kN
A
B
a = 5 m
L= 10 m
L= 10 m
Figure Q3(b) A two-span continuous beam (not to scale)
Transcribed Image Text:A C а L L Figure Q3(a) A simply supported beam with overhang P= 6 kN A B a = 5 m L= 10 m L= 10 m Figure Q3(b) A two-span continuous beam (not to scale)
3. (a) Figure Q3(a) shows a beam ABC comprising a simply supported span AB of length L
and an overhang BC of length L. A concentrated load P is applied at a point on the
overhang BC, which is at a distance of a from support B. If the flexural rigidity of the
entire beam is El, derive an expression for the vertical deflection & at the tip C.
(b) Figure Q3(b) shows a two-span continuous beam having two equal spans. A
concentrated load is applied on the right span. Using the results from 3(a), or
otherwise, determine the reaction Rc at support C and draw the bending moment
diagram of the beam, indicating the critical values in the diagram. State clearly the sign
conventions adopted.
Transcribed Image Text:3. (a) Figure Q3(a) shows a beam ABC comprising a simply supported span AB of length L and an overhang BC of length L. A concentrated load P is applied at a point on the overhang BC, which is at a distance of a from support B. If the flexural rigidity of the entire beam is El, derive an expression for the vertical deflection & at the tip C. (b) Figure Q3(b) shows a two-span continuous beam having two equal spans. A concentrated load is applied on the right span. Using the results from 3(a), or otherwise, determine the reaction Rc at support C and draw the bending moment diagram of the beam, indicating the critical values in the diagram. State clearly the sign conventions adopted.
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