Engineering Mechanics: Dynamics
8th Edition
ISBN: 9781118885840
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 5.5, Problem 110P
To determine
The angular velocity of the link OB.
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PROBLEM 10: A sleeve in the form of a circular tube of length L is Nut
placed around a bolt and fitted between washers at each end.
The nut is then turned until it is just snug.
Use material properties as follows:
For the sleeve, as = 21 x 106/°C and Es = 100 GPa
Washer
Bolt
·L·
Sleeve
Bolt head
For the bolt, αB = 10 × 10-6/°C and EB = 200 GPa.
1. Calculate the temperature rise that is required to produce a compressive stress of 25 MPa in the sleeve.
This problem illustrates that the factor of safety for a machine element depends on the particular point selected for
analysis. Here you are to compute factors of safety, based upon the distortion-energy theory, for stress elements at A and
B of the member shown in the figure. This bar is made of AISI 1006 cold-drawn steel and is loaded by the forces
F = 1.100 kN, P = 8.00 kN, and T = 50.00 N·m. Given: Sy = 280 MPa.
B
-100 mm-
15-mm D.
a) What is the value of the axial stress at point A?
b)What is the value of the shear stress at point A?
c)Determine the value of the Von Mises stress at
point A.
P
F
The three steel wires, each of cross-sectional area 0.05 in2, support the weight W. Theirunstressed lengths are 74.98 ft, 74.99 ft, and 75.00 ft. Use E = 29 x 106 psi.1. Find the stress (psi) in the longest wire if W = 1500 lb.2. Determine the stress in the shortest wire if W = 500 lb
ANSWERS: 6130 psi; 6930 psi
Chapter 5 Solutions
Engineering Mechanics: Dynamics
Ch. 5.2 - Prob. 1PCh. 5.2 - The circular sector rotates about a fixed axis...Ch. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - When switched on, the grinding machine accelerates...Ch. 5.2 - The small cart is released from rest in position 1...Ch. 5.2 - The flywheel has a diameter of 600 mm and rotates...Ch. 5.2 - Prob. 8PCh. 5.2 - Prob. 9PCh. 5.2 - The angular acceleration of a body which is...
Ch. 5.2 - The device shown rotates about the fixed z-axis...Ch. 5.2 - Prob. 12PCh. 5.2 - The T-shaped body rotates about a horizontal axis...Ch. 5.2 - Prob. 14PCh. 5.2 - Prob. 15PCh. 5.2 - Prob. 16PCh. 5.2 - The bent flat bar rotates about a fixed axis...Ch. 5.2 - At time t = 0, the arm is rotating about the fixed...Ch. 5.2 - A variable torque is applied to a rotating wheel...Ch. 5.2 - Prob. 20PCh. 5.2 - Prob. 21PCh. 5.2 - Prob. 22PCh. 5.2 - Prob. 23PCh. 5.2 - Prob. 24PCh. 5.2 - Prob. 25PCh. 5.2 - During its final spin cycle, a front-loading...Ch. 5.2 - Prob. 27PCh. 5.2 - Prob. 28PCh. 5.3 - Slider A moves in the horizontal slot with a...Ch. 5.3 - The fixed hydraulic cylinder C imparts a constant...Ch. 5.3 - Prob. 31PCh. 5.3 - At the instant under consideration, the hydraulic...Ch. 5.3 - The hydraulic cylinder D is causing the distance...Ch. 5.3 - The Scotch-yoke mechanism converts rotational...Ch. 5.3 - Prob. 35PCh. 5.3 - The wheel of radius r rolls without slipping, and...Ch. 5.3 - Link OA rotates with a clockwise angular velocity...Ch. 5.3 - Determine the acceleration of the shaft B for θ =...Ch. 5.3 - Prob. 39PCh. 5.3 - Prob. 40PCh. 5.3 - Boom OA is being elevated by the rope-and-pulley...Ch. 5.3 - The hydraulic cylinder imparts a constant upward...Ch. 5.3 - Prob. 43PCh. 5.3 - The rod OB slides through the collar pivoted to...Ch. 5.3 - Prob. 45PCh. 5.3 - Prob. 46PCh. 5.3 - Link OA is given a clockwise angular velocity ω =...Ch. 5.3 - Prob. 48PCh. 5.3 - Derive an expression for the upward velocity v of...Ch. 5.3 - Prob. 50PCh. 5.3 - Show that the expressions v = rω and at = rα hold...Ch. 5.3 - Prob. 52PCh. 5.3 - Prob. 53PCh. 5.3 - Prob. 54PCh. 5.3 - Prob. 55PCh. 5.3 - Prob. 56PCh. 5.3 - Prob. 57PCh. 5.3 - The punch is operated by a simple harmonic...Ch. 5.4 - The right-angle link AB has a clockwise angular...Ch. 5.4 - The uniform rectangular plate moves on the...Ch. 5.4 - The cart has a velocity of 4 ft/sec to the right....Ch. 5.4 - Prob. 62PCh. 5.4 - The speed of the center of the earth as it orbits...Ch. 5.4 - Prob. 64PCh. 5.4 - The circular disk of radius 8 in. is released very...Ch. 5.4 - For a short interval, collars A and B are sliding...Ch. 5.4 - Prob. 67PCh. 5.4 - The magnitude of the absolute velocity of point A...Ch. 5.4 - Prob. 69PCh. 5.4 - Prob. 70PCh. 5.4 - Determine the angular velocity of bar AB just...Ch. 5.4 - For the instant represented, point B crosses the...Ch. 5.4 - Prob. 73PCh. 5.4 - For a short interval, collars A and B are sliding...Ch. 5.4 - Determine the angular velocity of link BC for the...Ch. 5.4 - The elements of a switching device are shown. If...Ch. 5.4 - Determine the angular velocity ωAB of link AB and...Ch. 5.4 - Determine the angular velocity ωAB of link AB and...Ch. 5.4 - The rotation of the gear is controlled by the...Ch. 5.4 - Prob. 80PCh. 5.4 - Prob. 81PCh. 5.4 - The ends of the 0.4-m slender bar remain in...Ch. 5.4 - Prob. 83PCh. 5.4 - Prob. 84PCh. 5.4 - Pin P on the end of the horizontal rod slides...Ch. 5.4 - A four-bar linkage is shown in the figure (the...Ch. 5.4 - The mechanism is part of a latching device where...Ch. 5.4 - The elements of the mechanism for deployment of a...Ch. 5.4 - Prob. 89PCh. 5.4 - Prob. 90PCh. 5.5 - The slender bar is moving in general plane motion...Ch. 5.5 - Prob. 92PCh. 5.5 - Prob. 93PCh. 5.5 - Roller B of the quarter-circular link has a...Ch. 5.5 - Prob. 95PCh. 5.5 - Prob. 96PCh. 5.5 - Prob. 97PCh. 5.5 - At a certain instant vertex B of the...Ch. 5.5 - Prob. 99PCh. 5.5 - Prob. 100PCh. 5.5 - The mechanism of Prob. 5/100 is now shown in a...Ch. 5.5 - Prob. 102PCh. 5.5 - Prob. 103PCh. 5.5 - The switching device of Prob. 5/76 is repeated...Ch. 5.5 - The shaft of the wheel unit rolls without slipping...Ch. 5.5 - Prob. 106PCh. 5.5 - The attached wheels roll without slipping on the...Ch. 5.5 - The mechanism of Prob. 5/77 is repeated here. By...Ch. 5.5 - Prob. 109PCh. 5.5 - Prob. 110PCh. 5.5 - Prob. 111PCh. 5.5 - Prob. 112PCh. 5.5 - Prob. 113PCh. 5.5 - Solve for the speed of point D in Prob. 5/64 by...Ch. 5.5 - Link OA has a counterclockwise angular velocity =...Ch. 5.5 - Vertical oscillation of the spring-loaded plunger...Ch. 5.5 - A device which tests the resistance to wear of two...Ch. 5.5 - Motion of the roller A against its restraining...Ch. 5.5 - In the design of the mechanism shown, collar A is...Ch. 5.5 - Determine the angular velocity ω of the ram head...Ch. 5.6 - For the instant represented, corner C of the...Ch. 5.6 - The two rotor blades of 800-mm radius rotate...Ch. 5.6 - Prob. 123PCh. 5.6 - Determine the angular velocity and angular...Ch. 5.6 - The wheel of radius R rolls without slipping, and...Ch. 5.6 - The 9-m steel beam is being hoisted from its...Ch. 5.6 - The bar of Prob. 5/82 is repeated here. The ends...Ch. 5.6 - Prob. 128PCh. 5.6 - Prob. 129PCh. 5.6 - Prob. 130PCh. 5.6 - Prob. 131PCh. 5.6 - Prob. 132PCh. 5.6 - Prob. 133PCh. 5.6 - The switching device of Prob. 5/76 is repeated...Ch. 5.6 - Prob. 135PCh. 5.6 - Prob. 136PCh. 5.6 - If the wheel in each case rolls on the circular...Ch. 5.6 - Prob. 138PCh. 5.6 - The system of Prob. 5/101 is repeated here. Crank...Ch. 5.6 - Prob. 140PCh. 5.6 - The mechanism of Prob. 5/77 is repeated here. The...Ch. 5.6 - The system of Prob. 5/84 is repeated here. If the...Ch. 5.6 - The shaft of the wheel unit rolls without slipping...Ch. 5.6 - Plane motion of the triangular plate ABC is...Ch. 5.6 - The system of Prob. 5/110 is repeated here. At the...Ch. 5.6 - The velocity of roller A is vA = 0.5 m/s to the...Ch. 5.6 - In the design of this linkage, motion of the...Ch. 5.6 - The mechanism of Prob. 5/112 is repeated here. If...Ch. 5.6 - The bar AB from Prob. 5/74 is repeated here. If...Ch. 5.6 - If the piston rod of the hydraulic cylinder C has...Ch. 5.6 - Prob. 151PCh. 5.6 - Prob. 152PCh. 5.6 - The four-bar linkage of Prob. 5/86 is repeated...Ch. 5.6 - Prob. 154PCh. 5.6 - Prob. 155PCh. 5.6 - Prob. 156PCh. 5.7 - The disk rotates about a fixed axis through O with...Ch. 5.7 - The sector rotates with the indicated angular...Ch. 5.7 - The slotted wheel rolls to the right without...Ch. 5.7 - The disk rolls without slipping on the horizontal...Ch. 5.7 - Prob. 161PCh. 5.7 - An experimental vehicle A travels with constant...Ch. 5.7 - Prob. 163PCh. 5.7 - Prob. 164PCh. 5.7 - The small collar A is sliding on the bent bar with...Ch. 5.7 - Prob. 167PCh. 5.7 - Vehicle A travels west at high speed on a...Ch. 5.7 - Prob. 169PCh. 5.7 - Prob. 170PCh. 5.7 - Prob. 171PCh. 5.7 - Prob. 172PCh. 5.7 - Prob. 173PCh. 5.7 - Prob. 174PCh. 5.7 - Prob. 175PCh. 5.7 - Prob. 176PCh. 5.7 - Prob. 177PCh. 5.7 - Refer to the figure for Prob. 5/177. Car A is...Ch. 5.7 - For the instant represented, link CB is rotating...Ch. 5.7 - The disk rotates about a fixed axis through point...Ch. 5.7 - All conditions of the previous problem remain the...Ch. 5.7 - Prob. 182PCh. 5.7 - Prob. 183PCh. 5.7 - One wheel of an experimental vehicle F, which has...Ch. 5.8 - Prob. 185RPCh. 5.8 - Prob. 186RPCh. 5.8 - Prob. 187RPCh. 5.8 - Prob. 188RPCh. 5.8 - Prob. 189RPCh. 5.8 - Roller B of the linkage has a velocity of 0.75 m/s...Ch. 5.8 - Prob. 191RPCh. 5.8 - Prob. 192RPCh. 5.8 - Prob. 193RPCh. 5.8 - Prob. 194RPCh. 5.8 - Prob. 195RPCh. 5.8 - Prob. 196RPCh. 5.8 - The isosceles triangular plate is guided by the...Ch. 5.8 - Prob. 198RPCh. 5.8 - The hydraulic cylinder C imparts a velocity υ to...Ch. 5.8 - Prob. 200RPCh. 5.8 - The figure illustrates a commonly used...Ch. 5.8 - Prob. 202RPCh. 5.8 - Prob. 203RPCh. 5.8 - Prob. 204RPCh. 5.8 - Prob. 206RPCh. 5.8 - For the slider-crank configuration shown, derive...Ch. 5.8 - Prob. 212RP
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