Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 5.4, Problem 43P
The cantilevered jib crane is used to support the load of 780 lb. If the trolley T can be placed anywhere between 1.5 ft ≤ x ≤ 7.5 ft, determine the maximum magnitude of reaction at the supports A and B. Note that the supports are collars that allow the crane to rotate freely about the vertical axis. The collar at B supports a force in the vertical direction, whereas the one at A does not.
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Determine the reactions at the supports at A and C. Also, obtain the force exerted by
the pin at B on bar BC. Take w = 150 N/m.
B
A
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-4 m
-4 m-
C
4 m
The jib crane is designed for a maximum capacity of 6 kN, and its uniform I-beam has a mass of 230 kg. Plot the magnitude R of the
force on the pin at A as a function of x through its operating range of x = 0.2 m to x = 4.0 m. On the same set of axes, plot the x- and y-
components of the pin reaction at A. Do these plots on a separate piece of paper. Then answer the following questions in Wiley Plus as
a check for your work.
(a) What is the value of R when x = 2.0 m?
(b) What is the value of R when x = 3.3 m?
(c) Determine the minimum value of R and the corresponding value of x.
(d) For what value of R should the pin at A be designed?
34°
x
1.3 m
6 kN
-2.9 m
The jib crane is designed for a maximum capacity of 9 kN, and its uniform I-beam has a mass of 260 kg. Plot the magnitude R of the
force on the pin at A as a function of x through its operating range of x = 0.2 m to x = 3.4 m. On the same set of axes, plot the x- and y-
components of the pin reaction at A. Do these plots on a separate piece of paper. Then answer the following questions in Wiley Plus as
a check for your work.
(a) What is the value of R when x = 1.6 m?
(b) What is the value of R when x = 3.2 m?
(c) Determine the minimum value of R and the corresponding value of x.
(d) For what value of R should the pin at A be designed?
32°
x
m
9 KN
1.0 m
2.6 m
Questions:
(a) If x= 1.6 m, R=
i
(b) If x= 3.2 m, R = i
(c) The minimum value for R = i
(d) The pin should be designed to hold
i
KN
KN
kN at x =
i
kN.
Chapter 5 Solutions
Engineering Mechanics: Statics
Ch. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - Prob. 5PCh. 5.2 - Prob. 6PCh. 5.2 - Prob. 7PCh. 5.2 - Prob. 8PCh. 5.2 - Prob. 9PCh. 5.4 - Determine the horizontal and vertical components...
Ch. 5.4 - Determine the horizontal and vertical components...Ch. 5.4 - The truss is supported by a pin at A and a roller...Ch. 5.4 - Determine the components of reaction at the fixed...Ch. 5.4 - The 25 kg bar has a center of mass at G. If it is...Ch. 5.4 - Determine the reactions at the smooth contact...Ch. 5.4 - Determine the horizontal and vertical components...Ch. 5.4 - Prob. 11PCh. 5.4 - Determine the components of the support reactions...Ch. 5.4 - Prob. 13PCh. 5.4 - Prob. 14PCh. 5.4 - Determine the horizontal and vertical components...Ch. 5.4 - Determine the components of reaction at the...Ch. 5.4 - Prob. 17PCh. 5.4 - Determine the tension in the cable and the...Ch. 5.4 - Prob. 19PCh. 5.4 - Prob. 20PCh. 5.4 - Prob. 21PCh. 5.4 - Prob. 22PCh. 5.4 - Prob. 23PCh. 5.4 - Prob. 24PCh. 5.4 - Determine the magnitude of force at the pin A and...Ch. 5.4 - Prob. 26PCh. 5.4 - Prob. 27PCh. 5.4 - Prob. 28PCh. 5.4 - Prob. 29PCh. 5.4 - Prob. 30PCh. 5.4 - Prob. 31PCh. 5.4 - Prob. 32PCh. 5.4 - Prob. 33PCh. 5.4 - Prob. 34PCh. 5.4 - Prob. 35PCh. 5.4 - Prob. 36PCh. 5.4 - The boom supports the two vertical loads. Neglect...Ch. 5.4 - The boom is intended to support two vertical loads...Ch. 5.4 - Prob. 39PCh. 5.4 - Prob. 40PCh. 5.4 - Prob. 41PCh. 5.4 - The cantilevered jib crane is used to support the...Ch. 5.4 - The cantilevered jib crane is used to support the...Ch. 5.4 - Prob. 44PCh. 5.4 - Prob. 45PCh. 5.4 - Three uniform books each having a weight W and...Ch. 5.4 - Prob. 47PCh. 5.4 - Prob. 48PCh. 5.4 - Prob. 49PCh. 5.4 - Prob. 50PCh. 5.4 - Prob. 51PCh. 5.4 - A boy stands out at the end of the diving board,...Ch. 5.4 - The uniform beam has a weight Wand length l and is...Ch. 5.4 - Determine the distance d for placement of the load...Ch. 5.4 - If d = 1 m, and = 30, determine me normal...Ch. 5.4 - Prob. 56PCh. 5.4 - Assuming that the foundation exerts a linearly...Ch. 5.4 - Assuming that the foundation exerts a linearly...Ch. 5.4 - Prob. 59PCh. 5.4 - The 30-N uniform rod has a length of l = 1 m. If s...Ch. 5.4 - The uniform rod has a length I and weight W. It is...Ch. 5.7 - The uniform plate has a weight of 500 lb....Ch. 5.7 - Determine the reactions at the roller support A,...Ch. 5.7 - The rod is supported by smooth journal bearings at...Ch. 5.7 - Determine the support reactions at the smooth...Ch. 5.7 - Determine the force developed in the short link...Ch. 5.7 - Determine the components of reaction that the...Ch. 5.7 - Determine the tension each rope and the force that...Ch. 5.7 - Determine the vertical reactions at the wheels C...Ch. 5.7 - Prob. 64PCh. 5.7 - If these components have weights WA = 45000 Wa =...Ch. 5.7 - Prob. 66PCh. 5.7 - Prob. 67PCh. 5.7 - Prob. 68PCh. 5.7 - Prob. 69PCh. 5.7 - Determine the components of reaction at hinges A...Ch. 5.7 - Prob. 71PCh. 5.7 - Prob. 72PCh. 5.7 - Prob. 73PCh. 5.7 - Prob. 74PCh. 5.7 - Prob. 75PCh. 5.7 - Prob. 76PCh. 5.7 - Determine the horizontal equilibrium force P that...Ch. 5.7 - Determine the components of reaction at A and the...Ch. 5.7 - Compute the x, y, z components of reaction at the...Ch. 5.7 - Determine the magnitude of F2 which will cause the...Ch. 5.7 - Determine the x, y, z components of reaction at...Ch. 5.7 - Prob. 82PCh. 5.7 - Determine the horizontal tension T in the belt on...Ch. 5.7 - Determine the horizontal tension T in the belt on...Ch. 5.7 - If the roller at 8 can sustain a maximum load of 3...Ch. 5.7 - Determine the normal reaction at the roller A and...Ch. 5.7 - Prob. 87RPCh. 5.7 - Prob. 88RPCh. 5.7 - I he uniform rod of length L and weight W is...Ch. 5.7 - Determine the x, y, z components of reaction at...Ch. 5.7 - Determine the x, y, z components of reaction at...Ch. 5.7 - Determine the reactions at the supports A and B...
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