Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 1, Problem 1.7P
A level scaffold s to be supported at the center of a 12−ft ladder, as shown. Determine the required length x and the angle θ.
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A crate weighs 530 lb and is hung by three ropes attached to
a steel ring at A such that the top surface is parallel to the
xy plane. Point A is located at a height of h = 42 in above
the top of the crate directly over the geometric center of the
top surface. Use the dimensions given in the table below to
determine the tension in each of the three ropes.
2013 Michael Swanbom
cc00
BY NC SA
↑ Z
C
b
B
У
a
D
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
30 in
b
43 in
4.5 in
The tension in rope AB is 383
x lb
The tension in rope AC is 156
x lb
The tension in rope AD is 156
x lb
A block of mass m hangs from the end of bar AB that is 7.2
meters long and connected to the wall in the xz plane. The
bar is supported at A by a ball joint such that it carries only a
compressive force along its axis. The bar is supported at end
B by cables BD and BC that connect to the xz plane at
points C and D respectively with coordinates given in the
figure. Cable BD is elastic and can be modeled as a linear
spring with a spring constant k = 400 N/m and unstretched
length of 6.34 meters.
Determine the mass m, the compressive force in beam AB
and the tension force in cable BC.
Z
C
D
(c, 0, d)
(a, 0, b)
A
B
y
f
m
cc 10
BY
NC SA
2016 Eric Davishahl
x
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
8.1 m
b
3.3 m
с
2.7 m
d
3.9 m
e
2 m
f
5.4 m
The mass of the block is 68.8
The compressive force in bar AB is
364
× kg.
× N.
The tension in cable BC is 393
× N.
Chapter 1 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 1 - Prob. 1.1PCh. 1 - In the right triangle ABC shown, c = 25 ft and...Ch. 1 - Determine the length of side a and the meausre of...Ch. 1 - A 28-ft-long ladder leaning against a wall makes...Ch. 1 - Two legs of a right triangle are 6 ft and 10 ft....Ch. 1 - In the roof truss shown determine the lengths of...Ch. 1 - A level scaffold s to be supported at the center...Ch. 1 - A wanderer hikes due east for 2 mi, then southeast...Ch. 1 - Freehand sketch the following triangles and solve...Ch. 1 - One side of a triangular lot is 100 ft and the...
Ch. 1 - A box containing 8 shock absorbers and 10 brake...Ch. 1 - Prob. 1.12PCh. 1 - Express 0.015 ton (a) in pounds (lb) and (b) in...Ch. 1 - Express 5 mi (a) in yards (yd) and (b) in feet...Ch. 1 - Express 60 miles per hour (mph) in units of feet...Ch. 1 - Find the number of square rods in one acre.Ch. 1 - A reservoir contains an estimated 125 billion...Ch. 1 - Convert the following: a. 27 ft 734 in. to...Ch. 1 - 1.19 A water system of 2 in (inside diameter)...Ch. 1 - The soil pressure under a concrete footing is...Ch. 1 - Using Table 1 , establish your height in...Ch. 1 - The dimensions on a baseball field are as follows:...Ch. 1 - Convert the following quantities from U.S....Ch. 1 - Convert the following quantities to SI units of...Ch. 1 - Convert the following quantities to SI units of...Ch. 1 - Convert the following quantities to the designated...Ch. 1 - 1.27 Rework Problem 1.19 using an inside pipe...Ch. 1 - A spherical tank has a radius of 27 in. Find the...Ch. 1 - 1.29 A ladder rests against a vertical wall at a...Ch. 1 - A surveyor measures a zenith angle of 70° 03’20”...Ch. 1 - The tower of a tower crane casts a shadow (on...Ch. 1 - 1.32 From the top of a 30-ft building, the angle...Ch. 1 - Two planes, starting from airport X, fly for 2 hr,...Ch. 1 - Rework Problem 1.31 assuming that the ground...Ch. 1 - An Egyptian pyramid has a square base and...Ch. 1 - Two observation towers A and B are located 300 ft...Ch. 1 - Two people fishing from rowboats on a lake are 100...Ch. 1 - What is the average speed in miles per hour (mph)...Ch. 1 - The volume flow of a river is expressed as 5000...Ch. 1 - A 55-gal drum filled with sand weighs 816 lb. The...Ch. 1 - The total area to be occupied by a building and a...Ch. 1 - An electronic distance measurement device (EDM) is...
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