International Edition---engineering Mechanics: Statics 4th Edition
4th Edition
ISBN: 9781305856240
Author: Pytel
Publisher: Cengage
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Chapter 10, Problem 10.33P
To determine
The ratio of couple
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The single degree of freedom (SDOF) system that you studied under free vibration in Assignment #3 - Laboratory Component has been subjected to a strong ground motion. The acceleration at the base (excitation) and the acceleration at the roof (response) of the SDOF system was recorded with sampling rate 50 Hz (50 samples per second, or dt= 0.02 seconds). The file ElCentro.txt includes the two columns of acceleration data. The first column lists the acceleration at the base of the SDOF system. The second column lists the acceleration at the roof of the SDOF system. (a) Plot the time histories of the recorded accelerations at the base and at the roof of the SDOF system. (b) Compute the acceleration, velocity and displacement time histories of the roof of the SDOF system subjected to the recorded base acceleration using the Central Difference method. Plot the accel- eration, velocity and displacement time histories. Plot the restoring force, the damping force, and the inertia force time…
The single degree of freedom (SDOF) system that you studied under free vibration in Assignment #3 - Laboratory Component has been subjected to a strong ground motion. The acceleration at the base (excitation) and the acceleration at the roof (response) of the SDOF system was recorded with sampling rate 50 Hz (50 samples per second, or dt= 0.02 seconds). The file ElCentro.txt includes the two columns of acceleration data. The first column lists the acceleration at the base of the SDOF system. The second column lists the acceleration at the roof of the SDOF system. (a) Plot the time histories of the recorded accelerations at the base and at the roof of the SDOF system. (b) Compute the acceleration, velocity and displacement time histories of the roof of the SDOF system subjected to the recorded base acceleration using the Central Difference method. Plot the accel- eration, velocity and displacement time histories. Plot the restoring force, the damping force, and the inertia force time…
A tensile specimen made of hot-rolled AISI 1020 steel is loaded to point corresponding to a strain of 43%.
60
Su = 66 ksi
Stress σ (ksi)
40 B
20
0
0
0
T
H
Sy = 39 ksi
Se = 36 ksi
Hot-rolled 1020 steel
F
10 20 30 40
50 60 70 80 90 100 110 120 130 140 150 160
Strain € (%)
T
1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6
Area ratio R
0.1
0.2
0.3
0.4
0.5
Area reduction A,
What value of strain is applicable to this location?
0.6
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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- If AE = 1.6 m, ED = CD = 1.9 m and F = 3.1 kN, then find the magnitude of the force acting in EB. B 30° 30° C E D ED m DC m ♥F KNarrow_forwardAssume multiple single degree of freedom systems with natural periods T ∈ [0.05, 2.00] seconds with in- crement of period dT = 0.05 seconds. Assume three cases of damping ratio: Case (A) ξ = 0%; Case (B) ξ = 2%; Case (C) ξ = 5%. The systems are initially at rest. Thus, the initial conditions are u(t = 0) = 0 and ̇u(t = 0) = 0. The systems are subjected to the base acceleration that was provided in the ElCentro.txt file (i.e., first column). For the systems in Case (A), Case (B), and Case (C) and for each natural period compute the peak acceleration, peak velocity, and peak displacement responses to the given base excitation. Please, use the Newmark method for β = 1/4 (average acceleration) to compute the responses. Create three plots with three lines in each plot. The first plot will have the peak accelerations in y-axis and the natural period of the system in x-axis. The second plot will have the peak velocities in y-axis and the natural period of the system in x-axis. The third plot…arrow_forwardDetermine the resultant stress at points P and Q.arrow_forward
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