Engineering Mechanics: Statics
8th Edition
ISBN: 9781118807330
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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6.71. Determine the reactions at the supports A, C, and E of the compound beam.
3 kN/m
12 kN
A
B
CD
E
-3 m 4 m
6 m
3 m
2 m
A countershaft carrying two V-belt pullets is shown in the figure. Pulley A receives power
from a motor through a belt with the belt tensions shown. The power is transmitted through
the shaft and delivered to the belt on pulley B. Assume the belt tension on the loose side
(T1) at B is 30% of the tension on the tight side (T2).
(a) Determine the tension (i.e., T₂ and T₁) in the belt on pulley B, assuming the shaft is
running at a constant speed.
(b) Find the magnitudes of the bearing reaction forces, assuming the bearings act as
simple supports.
(c) Draw shear-force and bending moment diagrams for the shaft (in XZ and XY plane
if needed).
(d) Calculate the maximum moments at points A and B respectively and find the point
of maximum bending moment (A or B).
(e) Find maximum stresses (tensile, compressive, and shear stresses) at the identified
point of maximum moment (hint: principal and max shear stresses)
8 dia.
9
400lbf
50lbf
45°
1.5 dia.
T₂
B
Units in inches
T₁
10 dia.
The cantilevered bar in the figure is made from a ductile material and is statically loaded
with F,, = 200 lbf and Fx = F₂ = 0. Analyze the stress situation in rod AB by obtaining
the following information. Note that the stress concentration factors are neglected in the
following questions (Kt and Kts=1).
(a) Determine the precise location of the critical stress element.
(b) Sketch the critical stress element and determine magnitudes and direction for all
stresses acting on it. (Transverse shear may only be neglected if you can justify this
decision.)
(c) For the critical stress element, determine the principal stresses and maximum shear
stress.
6 in
1-in dia.
B
+1-
in
in
2 in
5 in
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