Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780073398204
Author: Richard G Budynas, Keith J Nisbett
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 4, Problem 8P
Derive the equations given for beam 2 in Table A–9 using statics and the double-integration method.
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Students have asked these similar questions
Problem 1
8 in.
in.
PROBLEM 15.109
Knowing that at the instant shown crank BC has a constant angular
velocity of 45 rpm clockwise, determine the acceleration (a) of Point A,
(b) of Point D.
8 in.
Answer: convert rpm to rad/sec first. (a). -51.2j in/s²; (b). 176.6 i + 50.8 j in/s²
Problem 4
The semicircular disk has a radius of 0.4 m. At one instant, when 0-60°, it is rotating
counterclockwise at 0-4 rad/s, which is increasing in the same direction at 1 rad/s². Find the
velocity and acceleration of point B at this instant. (Suggestion: Set up relative velocity and
relative acceleration that way you would for a no-slip disk; remember what I told you to memorize
on the first day of class.) (Answer: B = −2.98î - 0.8ĵ m/s, ãB = 2.45î - 5.74ĵ m/s²)
B
0.4 m
y
X
A
C
C
2r
A
2r
B
B
(a)
(b)
Problem 3
Refer to (b) of the figure shown above. The disk OA is now rolling with no slip at a constant angular
velocity of w. Find the angular velocity and angular acceleration of link AB and BC. (Partial Answers:
WBC = 2wk, AB = w²k)
Chapter 4 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 4 - The figure shows a torsion bar OA fixed at O,...Ch. 4 - For Prob. 41, if the simple support at point A...Ch. 4 - A torsion-bar spring consists of a prismatic bar,...Ch. 4 - An engineer is forced by geometric considerations...Ch. 4 - A bar in tension has a circular cross section and...Ch. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Derive the equations given for beam 2 in Table A9...Ch. 4 - Derive the equations given for beam 5 in Table A9...Ch. 4 - The figure shows a cantilever consisting of steel...
Ch. 4 - A simply supported beam loaded by two forces is...Ch. 4 - Using superposition, find the deflection of the...Ch. 4 - A rectangular steel bar supports the two...Ch. 4 - An aluminum tube with outside diameter of 2 in and...Ch. 4 - The cantilever shown in the figure consists of two...Ch. 4 - Using superposition for the bar shown, determine...Ch. 4 - A simply supported beam has a concentrated moment...Ch. 4 - Prob. 18PCh. 4 - Using the results of Prob. 418, use superposition...Ch. 4 - Prob. 20PCh. 4 - Consider the uniformly loaded simply supported...Ch. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - 429 to 434 For the steel countershaft specified in...Ch. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - For the steel countershaft specified in the table,...Ch. 4 - For the steel countershaft specified in the table,...Ch. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - The cantilevered handle in the figure is made from...Ch. 4 - Prob. 42PCh. 4 - The cantilevered handle in Prob. 384, p. 154, is...Ch. 4 - A flat-bed trailer is to be designed with a...Ch. 4 - The designer of a shaft usually has a slope...Ch. 4 - Prob. 46PCh. 4 - If the diameter of the steel beam shown is 1.25...Ch. 4 - For the beam of Prob. 4-47, plot the magnitude of...Ch. 4 - Prob. 49PCh. 4 - 4-50 and 4-51 The figure shows a rectangular...Ch. 4 - and 451 the ground at one end and supported by a...Ch. 4 - The figure illustrates a stepped torsion-bar...Ch. 4 - Consider the simply supported beam 5 with a center...Ch. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - Solve Prob. 410 using singularity functions. Use...Ch. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Solve Prob. 413 using singularity functions. Since...Ch. 4 - Prob. 61PCh. 4 - Solve Prob. 419 using singularity functions to...Ch. 4 - Using singularity functions, write the deflection...Ch. 4 - Determine the deflection equation for the...Ch. 4 - Use Castiglianos theorem to verify the maximum...Ch. 4 - Use Castiglianos theorem to verify the maximum...Ch. 4 - Solve Prob. 415 using Castiglianos theorem.Ch. 4 - Solve Prob. 452 using Castiglianos theoremCh. 4 - Determine the deflection at midspan for the beam...Ch. 4 - Using Castiglianos theorem, determine the...Ch. 4 - Solve Prob. 441 using Castiglianos theorem. Since...Ch. 4 - Solve Prob. 442 using Castiglianos theorem.Ch. 4 - The cantilevered handle in Prob. 384 is made from...Ch. 4 - Solve Prob. 450 using Castiglianos theorem.Ch. 4 - Solve Prob. 451 using Castiglianos theorem.Ch. 4 - The steel curved bar shown has a rectangular cross...Ch. 4 - Repeat Prob. 476 to find the vertical deflection...Ch. 4 - For the curved steel beam shown. F = 6.7 kips....Ch. 4 - A steel piston ring has a mean diameter of 70 mm....Ch. 4 - For the steel wire form shown, use Castiglianos...Ch. 4 - 4-81 and 4-82 The part shown is formed from a...Ch. 4 - 4-81 and 4-82 The part shown is formed from a...Ch. 4 - Repeat Prob. 481 for the vertical deflection at...Ch. 4 - Repeat Prob. 482 for the vertical deflection at...Ch. 4 - A hook is formed from a 2-mm-diameter steel wire...Ch. 4 - The figure shows a rectangular member OB, made...Ch. 4 - Prob. 87PCh. 4 - For the wire form shown, determine the deflection...Ch. 4 - Prob. 89PCh. 4 - Prob. 90PCh. 4 - Prob. 91PCh. 4 - Prob. 92PCh. 4 - Solve Prob. 492 using Castiglianos method and...Ch. 4 - An aluminum step bar is loaded as shown. (a)...Ch. 4 - The steel shaft shown in the figure is subjected...Ch. 4 - Repeat Prob. 495 with the diameters of section OA...Ch. 4 - The figure shows a 12- by 1-in rectangular steel...Ch. 4 - For the beam shown, determine the support...Ch. 4 - Solve Prob. 498 using Castiglianos theorem and...Ch. 4 - Consider beam 13 in Table A9, but with flexible...Ch. 4 - Prob. 101PCh. 4 - The steel beam ABCD shown is simply supported at C...Ch. 4 - Prob. 103PCh. 4 - A round tubular column has outside and inside...Ch. 4 - For the conditions of Prob. 4104, show that...Ch. 4 - Link 2, shown in the figure, is 25 mm wide, has...Ch. 4 - Link 3, shown schematically in the figure, acts as...Ch. 4 - The hydraulic cylinder shown in the figure has a...Ch. 4 - The figure shows a schematic drawing of a...Ch. 4 - If drawn, a figure for this problem would resemble...Ch. 4 - Design link CD of the hand-operated toggle press...Ch. 4 - Find the maximum values of the spring force and...Ch. 4 - As shown in the figure, the weight W1 strikes W2...Ch. 4 - Part a of the figure shows a weight W mounted...
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