
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
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Chapter 10, Problem 10.34P
To determine
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De Moivre’s Theorem
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Determine the shear flow qqq for the given profile when the shear forces acting at the torsional center are Qy=30Q_y = 30Qy=30 kN and Qz=20Q_z = 20Qz=20 kN. Also, calculate qmaxq_{\max}qmax and τmax\tau_{\max}τmax.
Given:Iy=10.5×106I_y = 10.5 \times 10^6Iy=10.5×106 mm4^44,Iz=20.8×106I_z = 20.8 \times 10^6Iz=20.8×106 mm4^44,Iyz=6×106I_{yz} = 6 \times 10^6Iyz=6×106 mm4^44.
Additional parameters:αy=0.5714\alpha_y = 0.5714αy=0.5714,αz=0.2885\alpha_z = 0.2885αz=0.2885,γ=1.1974\gamma = 1.1974γ=1.1974.
(Check hint: τmax\tau_{\max}τmax should be approximately 30 MPa.)
Chapter 10 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
Ch. 10 - Determine the number of DOF for each of the...Ch. 10 - The uniform bar of weight W is held in equilibrium...Ch. 10 - Bars AB and AC of the mechanism are homogenous...Ch. 10 - The weight of each homogeneous bar of the linkage...Ch. 10 - The 1800-kg boat is suspended from two parallel...Ch. 10 - The 2.4-kg lamp, with center of gravity located at...Ch. 10 - The linkage is made of two homogenous bars of...Ch. 10 - For the frame shown, find the horizontal component...Ch. 10 - The four-bar linkage supports the homogeneous box...Ch. 10 - Prob. 10.10P
Ch. 10 - Determine the ratio P/Q of the forces that are...Ch. 10 - Find the vertical force P that will hold the...Ch. 10 - The linkage of the braking system consists of the...Ch. 10 - The automatic drilling robot must sustain a thrust...Ch. 10 - Determine the couple C for which the mechanism...Ch. 10 - The scissors jack is used to elevate the weight W....Ch. 10 - Prob. 10.17PCh. 10 - Calculate the torque C0 that must be applied to...Ch. 10 - Determine the force F and the angle a required to...Ch. 10 - Locate the instant center of rotation of bar AB...Ch. 10 - Prob. 10.21PCh. 10 - Determine the force P that will keep the mechanism...Ch. 10 - Prob. 10.23PCh. 10 - Prob. 10.24PCh. 10 - Prob. 10.25PCh. 10 - Determine the ratio P/Q for which the linkage will...Ch. 10 - Prob. 10.27PCh. 10 - Prob. 10.28PCh. 10 - If the input force to the compound lever is P = 30...Ch. 10 - Determine the roller reaction at F due to the...Ch. 10 - Prob. 10.31PCh. 10 - Prob. 10.32PCh. 10 - Prob. 10.33PCh. 10 - Prob. 10.34PCh. 10 - Prob. 10.35PCh. 10 - For the pliers shown, determine the relationship...Ch. 10 - When activated by the force P, the gripper cm a...Ch. 10 - Prob. 10.38PCh. 10 - The hinge is of the type used on some automobiles,...Ch. 10 - The spring attached to the sliding collar is...Ch. 10 - The weight W is suspended from end B of the...Ch. 10 - The uniform bar of weight W and length L = 1.8R...Ch. 10 - A slender homogeneous bar is bent into a right...Ch. 10 - The body shown is a composite of a hemisphere and...Ch. 10 - Prob. 10.45PCh. 10 - The uniform bar AB of weight W and length L is...Ch. 10 - Uniform rods of weights W1 and W2 are welded to...Ch. 10 - Prob. 10.48PCh. 10 - The semi-cylinder of radius r is placed on a...Ch. 10 - Prob. 10.50PCh. 10 - The spring attached to the homogenous bar of...Ch. 10 - The spring is connected to a rope that passes over...Ch. 10 - Find the equilibrium positions of the 30-lb...Ch. 10 - The mechanism of negligible weight supports the...Ch. 10 - Solve Prob. 10.54 assuming that A and B are...Ch. 10 - The stiffness of the ideal spring that is...Ch. 10 - Find the stable equilibrium position of the system...Ch. 10 - The uniform bar AB of weight W = kL is in...Ch. 10 - The weight of the uniform bar AB is W. The...Ch. 10 - The weightless bars AB and CE, together with the...Ch. 10 - Prob. 10.61PCh. 10 - The bar ABC is supported by three identical, ideal...
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