ENGINEERING MECHANICS
14th Edition
ISBN: 9780136522409
Author: HIBBELER
Publisher: PEARSON
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Textbook Question
Chapter 6.6, Problem 96P
Determine the total force he must exert on bar AB in each case and the normal reaction he exerts on the platform at C. Neglect the weight of the platform.
Prob. 6-96
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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 6 Solutions
ENGINEERING MECHANICS
Ch. 6.3 - In each case, calculate the support reactions and...Ch. 6.3 - Identify the zero-force members in each truss....Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - Determine the greatest load P that can be applied...Ch. 6.3 - Identify the zero-force members in the truss....Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - Set P1 = 20 kN, P2 = 10 kN. Probs. 6-1/2Ch. 6.3 - Set P1 = 45 kN, P2 = 30 kN. Probs. 6-1/2
Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Determine the force in each member of the truss,...Ch. 6.3 - Determine the force in each member of the truss,...Ch. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Set P1 = 6 kN, P2 = 9 kN. Probs. 6-9/10Ch. 6.3 - Determine the force in each member of the Pratt...Ch. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Determine the force in each member of the truss in...Ch. 6.3 - Members AB and BC can each support a maximum...Ch. 6.3 - If a = 6 ft, determine the greatest load P the...Ch. 6.3 - State whether the members are in tension or...Ch. 6.3 - If the maximum force that any member can support...Ch. 6.3 - Set P1 = 10 kN, P2 = 8 kN. Probs. 6-18/19Ch. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Set P1 = 9 kN, P2 = 15 kN. Probs. 6-20/21Ch. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Determine the force in each member of the double...Ch. 6.3 - Determine the force in each member of the truss in...Ch. 6.3 - Determine the maximum magnitude of load P that can...Ch. 6.3 - Take P = 2 kN. Probs. 6-25/26Ch. 6.3 - Determine the maximum magnitude P of the two loads...Ch. 6.4 - Determine the force in members BC, CF, and FE....Ch. 6.4 - State if the members are in tension or...Ch. 6.4 - State if the members are in tension or...Ch. 6.4 - State if the members are in tension or...Ch. 6.4 - State if the members are in tension or...Ch. 6.4 - State if the members are in tension or...Ch. 6.4 - Determine the force in members DC, HC, and HI of...Ch. 6.4 - Determine the force in members ED, EH, and GH of...Ch. 6.4 - Determine the force in members HG, HE and DE of...Ch. 6.4 - Determine the force in members CD, HI, and CH of...Ch. 6.4 - State if these members are in tension or...Ch. 6.4 - State if these members are in tension or...Ch. 6.4 - Determine the force in members GF, CD, and GC, and...Ch. 6.4 - Determine the force in members GH, BC, and BG of...Ch. 6.4 - Determine the force in members EF, CF, and BC, and...Ch. 6.4 - Determine the force in members AF, BF, and BC, and...Ch. 6.4 - State if these members are in tension or...Ch. 6.4 - Determine the force in members CD, CF, and CG and...Ch. 6.4 - Determine the force developed in members FE, EB,...Ch. 6.4 - Determine the force in members BC, HC, and HG....Ch. 6.4 - Determine the force in members CD, CJ, GJ, and CG...Ch. 6.4 - Determine the force in members BE, EF, and CB, and...Ch. 6.4 - Determine the force in members BF, BG, and AB, and...Ch. 6.4 - Determine the force in members BC, CH, GH, and CG...Ch. 6.4 - Determine the force in members CD, CJ, and KJ and...Ch. 6.4 - Determine the force in members JK, CJ, and CD of...Ch. 6.4 - Determine the force in members HI, FI, and EF of...Ch. 6.6 - In each case, identify any two-force members, and...Ch. 6.6 - Determine the force P needed to hold the 60-lb...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - If a 100-N force is applied to the handles of the...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the normal force that the 100-lb plate A...Ch. 6.6 - Also, determine the proper placement x of the hook...Ch. 6.6 - Determine the components of reaction at A and B....Ch. 6.6 - Determine the reactions at D. Prob. F6-20Ch. 6.6 - Determine the components of reaction at A and C....Ch. 6.6 - Determine the components of reaction at C. Prob....Ch. 6.6 - Determine the components of reaction at E. Prob....Ch. 6.6 - Determine the components of reaction at D and the...Ch. 6.6 - Determine the force P required to hold the 100-lb...Ch. 6.6 - The block weighs 100 lb. Prob. 6-62Ch. 6.6 - Determine the force P required to hold the 50-kg...Ch. 6.6 - Determine the force P required to hold the 150-kg...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Also, what are the horizontal and vertical...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the reactions at supports A and B. Prob....Ch. 6.6 - The suspended cylinder has a mass of 75 kg. Prob....Ch. 6.6 - Determine the reactions at the supports A, C, and...Ch. 6.6 - Determine the resultant force at pins A, B, and C...Ch. 6.6 - Determine the reactions at the supports at A, E,...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - There is a hinge (pin) at D. Determine the...Ch. 6.6 - Determine the force P exerted on each of the...Ch. 6.6 - The toggle clamp is subjected to a force F at the...Ch. 6.6 - Determine the force the load creates in member DB...Ch. 6.6 - Determine the compressive force developed on the...Ch. 6.6 - Also, find the horizontal and vertical components...Ch. 6.6 - Also, what are the horizontal and vertical...Ch. 6.6 - Determine the force in the guy cable AI and the...Ch. 6.6 - When the walking beam ABC is horizontal, the force...Ch. 6.6 - Determine the force that the jaws J of the metal...Ch. 6.6 - It consists of two toggles ABC and DBF, which are...Ch. 6.6 - The 600-N load is applied to the pin. Prob. 6-89Ch. 6.6 - If the wheel at A exerts a normal force of FA = 80...Ch. 6.6 - The shovel load has a mass of 1.25 Mg and a center...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the compressive force P that is exerted...Ch. 6.6 - If each coin weighs 0.0235 lb, determine the...Ch. 6.6 - Assuming the blades are pin connected at B and the...Ch. 6.6 - Determine the total force he must exert on bar AB...Ch. 6.6 - Determine the total force he must exert on bar AB...Ch. 6.6 - The cable is attached to D, passes over the smooth...Ch. 6.6 - The grip at B on member DAB resists both...Ch. 6.6 - If the compression in the spring is 20 mm when the...Ch. 6.6 - If a clamping force of 300 N is required at A,...Ch. 6.6 - If a force of F = 350 N is applied to the handle...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the force in the hydraulic cylinder AB...Ch. 6.6 - The spring has a stiffness of k = 6 kN/m. Prob....Ch. 6.6 - If d = 0.75 ft and the spring has an unstretched...Ch. 6.6 - If a force of F = 50 lb is applied to the pads at...Ch. 6.6 - If there is a 300-kg stone in the bucket, with...Ch. 6.6 - when the mechanism is in the position shown. The...Ch. 6.6 - Prob. 110PCh. 6.6 - Prob. 111PCh. 6.6 - If the sprig has a stiffness of k = 15 lb/in., and...Ch. 6.6 - Through this arrangement, a small weight can...Ch. 6.6 - Through this arrangement, a small weight can...Ch. 6.6 - If only vertical forces are supported at the...Ch. 6.6 - Determine the force in each member of the truss...Ch. 6.6 - Determine the force in each member of the truss...Ch. 6.6 - Determine the force in member GJ and GC of the...Ch. 6.6 - Determine the force in members GF, FB, and BC of...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the resultant forces at pins B and C on...
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