A simply supported beam of a total length ?l is shown in Figure Q5, where point A is supported by a pin connection and point C is supported by a roller support. The concentrated load is ?P at the location of 2?/32l/3. Determine the shear-force and bending-moment distributions produced in the beam by the concentrated load ?P.  .

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 10.3.14P: A propped cantilever beam of a length L is loaded by a concentrated moment M0at midpoint C Use the...
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A simply supported beam of a total length ?l is shown in Figure Q5, where point A is supported by a pin connection and point C is supported by a roller support. The concentrated load is ?P at the location of 2?/32l/3. Determine the shear-force and bending-moment distributions produced in the beam by the concentrated load ?P. 

.

 

a)
(1) The support reaction forces at the A and C, be careful of the sign.
(mathematical expression)
=
R :
(mathematical expression)
(2) Give the expressions of the shear and moment at an arbitrary poistion x of AB
segment, be careful of the sign.
Vx =
(mathematical expression)
(mathematical expression)
(3) Give the expressions of the shear and moment at an arbitrary poistion x of BC
segment, be careful of the sign.
Vx =
(mathematical expression)
(mathematical expression)
Transcribed Image Text:a) (1) The support reaction forces at the A and C, be careful of the sign. (mathematical expression) = R : (mathematical expression) (2) Give the expressions of the shear and moment at an arbitrary poistion x of AB segment, be careful of the sign. Vx = (mathematical expression) (mathematical expression) (3) Give the expressions of the shear and moment at an arbitrary poistion x of BC segment, be careful of the sign. Vx = (mathematical expression) (mathematical expression)
A simply supported beam of a total length I is shown in Figure Q5, where point A is
supported by a pin connection and point C is supported by a roller support. The
concentrated load is P at the location of 21/3. Determine the shear-force and bending-
moment distributions produced in the beam by the concentrated load P.
Note that adatpive marking has been used to consider the method mark.
P
21
3
3
A
* y
В
Figure Q5: A simply supported beam with a concentrated load applied
Transcribed Image Text:A simply supported beam of a total length I is shown in Figure Q5, where point A is supported by a pin connection and point C is supported by a roller support. The concentrated load is P at the location of 21/3. Determine the shear-force and bending- moment distributions produced in the beam by the concentrated load P. Note that adatpive marking has been used to consider the method mark. P 21 3 3 A * y В Figure Q5: A simply supported beam with a concentrated load applied
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