Bundle: Mechanics Of Materials, Loose-leaf Version, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
9th Edition
ISBN: 9781337594318
Author: Barry J. Goodno; James M. Gere
Publisher: Cengage Learning
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Chapter 9, Problem 9.6.9P
A simple beam AB is subjected to a load in the form of a couple M0 acting at end B (see figure). Determine the angles of rotation
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Home Work:
1. Determine the maximum deflection d in a simply supported beam of length L
carrying a uniformly distributed load of intensity w, applied over its entire length.
2. For the beam loaded as shown in the Figure, compute the moment of area of the
M diagrams between the reactions about both the left and the right reaction. (Hint:
Draw the moment diagram by parts from right to left).
500 N
2 m
1 m
1 m
400 N/m
B
R1
R2
Please solve according to
the exporters of a typical
solution.
1
M
E*I
3. Moment Diagram by Parts
but
ds = pd0
M
de
M
ds
E*I
1
The construction of moment diagram by parts depends on two basic principles:
1) The resultant bending moment at any section caused by any load system is the
algebraic sum of the bending moment at that section caused by each load acting
separately.
= de =
%3D
E*I
ds
but
ds = dx
(Flat curve)
M
Σ
. de =
-) M. =
MR
M =
E * I
1
(M * dx
EML,EMR : Sum of the moment caused by all the forces to the left and right
section respectively.
.. 0 =
E * I
2)…
3. Two beams are supported as shown in the diagram below, each 150mm x 200mm x 6 meters. Beam CD is a
cantilever beam carrying a uniformly distributed load of 6 KN/m freely supported on beam AB. Beam AB is
freely supported on each ends. E = 13.8 GPa for both beam. Neglect the weight of the beam.
a. Compute the reaction at D.
b. Compute the deflection at D.
c. Compute the bending stress of beam CD.
6 ka lm
бт
6m
6m
A
LAB
Show Transcribed Text
B
W
L
LBC
X
H
W360 x 72
A W360x72 standard steel shape is used to support the loads shown on the beam in the figure. The shape is oriented so
that bending occurs about the weak axis as shown.[P = 8 kN, w = 24 kN/m, a = 1 m, b = 5.5 m]
1.)Determine the maximum absolute value of negative moment in the beam.
2.)Determine the maximum positive moment in the beam.
3.)Determine the maximum stress at any point along the beam.
Chapter 9 Solutions
Bundle: Mechanics Of Materials, Loose-leaf Version, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
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