right of A, and a moment 3M, acts counterclockwise at a distance I/3 to the left of B. (Use the deformation sign convention. When entering expressions, use the following as necessary: M, and L.) Draw the shear-force diagram for this beam. Vx) VX) Vmax Vmin - Vmax L. O o'min Vx) VX) Vmax Vmax OVmin State expressions for the minimum and maximum values of V. min %3D Vmax= Draw the bending-moment diagram for this beam. M( X) MI X) Mmax Mmin - Mmax L. O OMmin MX) M( X) Mmax| Mmax O Mmin 3. 3 State expressions for the minimum and maximum values of M. Mmin Mmax

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Question
A simple beam AB subjected to couples
M.
and
3M,
acting at the third points is shown in the figure.
M1
3M1
B
A horizontal beam A B of length L is supported by a fixed support at its left end A and a
horizontal roller support at its right end B. A moment M acts clockwise at a distance I3 to the
right of A, and a moment 3M, acts counterclockwise at a distance IB to the left of B.
(Use the deformation sign convention. When entering expressions, use the following as
necessary: M, and L.)
Draw the shear-force diagram for this beam.
Vx)
Vx)
Vmax
Vmin = Vmax
3
OO 'imin
3
VX)
V(x)
Vmax |
Vmax
2 L
Vmin
3
State expressions for the minimum and maximum values of V.
V min
%3D
Vmax =
Draw the bending-moment diagram for this beam.
M(X)
M( X)
Mmax
Mmin = Mmax
21
L.
Mmin
3
3
3
M(X)
Mmax
M( X)
Mmax
22
2L
OMmin
3
3
State expressions for the minimum and maximum values of M.
Mmin
Mmax =
Transcribed Image Text:A simple beam AB subjected to couples M. and 3M, acting at the third points is shown in the figure. M1 3M1 B A horizontal beam A B of length L is supported by a fixed support at its left end A and a horizontal roller support at its right end B. A moment M acts clockwise at a distance I3 to the right of A, and a moment 3M, acts counterclockwise at a distance IB to the left of B. (Use the deformation sign convention. When entering expressions, use the following as necessary: M, and L.) Draw the shear-force diagram for this beam. Vx) Vx) Vmax Vmin = Vmax 3 OO 'imin 3 VX) V(x) Vmax | Vmax 2 L Vmin 3 State expressions for the minimum and maximum values of V. V min %3D Vmax = Draw the bending-moment diagram for this beam. M(X) M( X) Mmax Mmin = Mmax 21 L. Mmin 3 3 3 M(X) Mmax M( X) Mmax 22 2L OMmin 3 3 State expressions for the minimum and maximum values of M. Mmin Mmax =
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