EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 9780100257061
Author: BEER
Publisher: YUZU
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Textbook Question
Chapter 10.1, Problem 21P
The uniform brass bar AB has a rectangular cross section and is supported by pins and brackets as shown. Each end of the bar can rotate freely about a horizontal axis through the pin, but rotation about a vertical axis is prevented by the brackets. (a) Determine the ratio b/d for which the factor of safety is the same about the horizontal and vertical axes. (b) Determine the factor of safety if P = 1.8 kips, L = 7 ft, d = 1.5 in., and E 5 29 × 106 psi.
Fig. P10.21
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Question 2
The rods BE and CD are made from steel (E=200 GPa), and each have a diameter, P. The ends
of the rods are threaded with a pitch, p. The nuts at B and C are initially finger tightened such
that they barely touch rigid member ABC. If the nut at C is then tightened by one full turn,
determine:
(a) the tension in rods BE and CD
(b) the distance, uc, that point C on the rigid member ABC moves.
Assume a=300 mm, b= 100 mm, c= 2.5 m, d= 6 m, 0=40 mm, and p=1 mm.
OA
a
В
E
b
D
C
d
The bars EF and FG in the mechanism shown are made of steel, while the bar GH is made of
aluminum. The compound bar is attached to a rigid support at H and to a galvanized wire rope at E.
Although bar ABC is rigid, it can rotate freely at A. When the loads P1 = 10 kN, P2 = 100 kN, and P3 = 80
kN are applied, determine:
a. the net deformation (in mm) of the compound bar
b. the horizontal deflection (in mm) of point C (neglect vertical deflection)
c. the angle of tilt (in °) of bar ABC
Assume that pulley D is linked to a rigid plate, is frictionless, and negligible size
PROBLEM 10.21
10.21 The uniform brass bar AB has a rectangular cross section
and is supported by pins and brackets as shown. Each end
of the bar can rotate freely about a horizontal axis through
the pin, but rotation about a vertical axis is prevented by
the brackets. (a) Determine the ratio bld for which the
factor of safety is the same about the horizontal and
vertical axes. (b) Determine the factor of safety if P = 8
L = 2m, d = 38 mm, and E = 105 GPa.
B
kN,
Chapter 10 Solutions
EBK MECHANICS OF MATERIALS
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