Statics and Mechanics of Materials, Student Value Edition (5th Edition)
5th Edition
ISBN: 9780134382890
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 11, Problem 6RP
A wooden beam has a square cross section as shown. Determine which orientation of the beam provides the greatest strength at resisting the moment M. What is the difference in the resulting maximum stress in both cases?
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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…
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
A tensile specimen made of hot-rolled AISI 1020 steel is loaded to point corresponding to a strain of 40%.
60
Su = 66 ksi
Stress σ (ksi)
S₁ = 39 ksi
40
Se = 36 ksi
Hot-rolled 1020 steel
20
0
10 20 30 40
50 60 70 80 90 100 110 120 130 140 150 160
Strain € (%)
0
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 area ratio is applicable to this location?
0.6
Chapter 11 Solutions
Statics and Mechanics of Materials, Student Value Edition (5th Edition)
Ch. 11.2 - In each case, the beam is subjected to the...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - Prob. 5FPCh. 11.2 - Prob. 6FPCh. 11.2 - In each ease, draw the shear and moment diagrams...Ch. 11.2 - Prob. 8FPCh. 11.2 - Prob. 1P
Ch. 11.2 - Draw the shear and moment diagrams for the beam,...Ch. 11.2 - Draw the shear and moment diagrams for the beam,...Ch. 11.2 - Express the shear and moment in terms of x for 0 ...Ch. 11.2 - Express the internal shear and moment in the...Ch. 11.2 - Prob. 6PCh. 11.2 - Express the internal shear and moment in terms of...Ch. 11.2 - Draw the shear and moment diagrams for the beam,...Ch. 11.2 - If the force applied to the handle of the load...Ch. 11.2 - Draw the shear and moment diagrams for the shaft....Ch. 11.2 - The crane is used to support the engine, which has...Ch. 11.2 - Prob. 12PCh. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Members ABC and BD of the counter chair are...Ch. 11.2 - A reinforced concrete pier is used to support the...Ch. 11.2 - Draw the shear and moment diagrams for the beam...Ch. 11.2 - The industrial robot is held in the stationary...Ch. 11.2 - Determine the placement distance a of the roller...Ch. 11.2 - Prob. 20PCh. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Draw the shear and moment diagrams for the...Ch. 11.2 - The 150-lb man sits in the center of the boat,...Ch. 11.2 - Prob. 24PCh. 11.2 - The footing supports the load transmitted by the...Ch. 11.2 - Prob. 26PCh. 11.2 - Prob. 27PCh. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Prob. 30PCh. 11.2 - Prob. 31PCh. 11.2 - Prob. 32PCh. 11.2 - The shaft is supported by a smooth thrust bearing...Ch. 11.2 - Draw the shear and moment diagrams for the...Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Draw the shear and moment diagrams for the rod....Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Prob. 38PCh. 11.2 - Draw the shear and moment diagrams for the double...Ch. 11.2 - Draw the shear and moment diagrams for the simply...Ch. 11.2 - The compound beam is fixed at A, pin connected at...Ch. 11.2 - Draw the shear and moment diagrams for the...Ch. 11.2 - The compound beam is fixed at A, pin connected at...Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - A short link at B is used to connect beams AB and...Ch. 11.2 - The truck is to be used to transport the concrete...Ch. 11.4 - Determine the moment of inertia of the cross...Ch. 11.4 - Prob. 3PPCh. 11.4 - In each case, show how the bending stress acts on...Ch. 11.4 - Prob. 5PPCh. 11.4 - If the beam is subjected to a bending moment of M...Ch. 11.4 - If the beam is subjected to a bending moment of M...Ch. 11.4 - If the beam is subjected to a bending moment of M...Ch. 11.4 - Prob. 12FPCh. 11.4 - If the beam is subjected to a bending moment of M...Ch. 11.4 - An A-36 steel strip has an allowable bending...Ch. 11.4 - Determine the moment M that will produce a maximum...Ch. 11.4 - Determine the maximum tensile and compressive...Ch. 11.4 - The beam is constructed from four pieces of wood,...Ch. 11.4 - The beam is constructed from four pieces of wood,...Ch. 11.4 - The beam is made from three boards nailed together...Ch. 11.4 - Prob. 53PCh. 11.4 - If the built-up beam is subjected to an internal...Ch. 11.4 - If the built-up beam is subjected to an internal...Ch. 11.4 - Prob. 56PCh. 11.4 - Determine the moment M that should be applied to...Ch. 11.4 - Prob. 58PCh. 11.4 - Prob. 59PCh. 11.4 - The beam is subjected to a moment of 15 kip ft....Ch. 11.4 - The beam is subjected to a moment of 15 kip ft....Ch. 11.4 - Prob. 62PCh. 11.4 - The steel shaft has a diameter of 2 in. It is...Ch. 11.4 - The beam is made of steel that has an allowable...Ch. 11.4 - Prob. 65PCh. 11.4 - Solve Prob. 11-65 if the moment M = 50 N m is...Ch. 11.4 - The shaft is supported by smooth journal bearings...Ch. 11.4 - Prob. 68PCh. 11.4 - Prob. 69PCh. 11.4 - The strut on the utility pole supports the cable...Ch. 11.4 - Prob. 71PCh. 11.4 - Prob. 72PCh. 11.4 - Determine the smallest allowable diameter of the...Ch. 11.4 - Prob. 74PCh. 11.4 - The shaft is supported by a thrust bearing at A...Ch. 11.4 - If the intensity of the load w = 15 kN/m,...Ch. 11.4 - If the allowable bending stress is allow = 150...Ch. 11.4 - The beam is subjected to the triangular...Ch. 11.4 - The beam has a rectangular cross section with b =...Ch. 11.4 - Determine the absolute maximum bending stress in...Ch. 11.4 - If the compound beam in Prob. 11-42 has a square...Ch. 11.4 - Prob. 82PCh. 11.4 - Prob. 83PCh. 11.4 - Determine, to the nearest millimeter, the smallest...Ch. 11.4 - Prob. 85PCh. 11.4 - Determine the absolute maximum bending stress in...Ch. 11.4 - Determine the smallest diameter of the shaft to...Ch. 11.4 - Prob. 88PCh. 11.4 - A log that is 2 ft in diameter is to be cut into a...Ch. 11.4 - The simply supported truss is subjected to the...Ch. 11.4 - Prob. 92PCh. 11.4 - Prob. 93PCh. 11.4 - Prob. 94PCh. 11.4 - The beam has the rectangular cross section shown....Ch. 11.5 - Determine the bending stress developed at corners...Ch. 11.5 - Prob. 15FPCh. 11.5 - Prob. 96PCh. 11.5 - Prob. 97PCh. 11.5 - Prob. 98PCh. 11.5 - Prob. 99PCh. 11.5 - Determine the bending stress at point A of the...Ch. 11.5 - The steel shaft is subjected to the two loads. If...Ch. 11.5 - Prob. 102PCh. 11.5 - Prob. 103PCh. 11.5 - Prob. 104PCh. 11 - Determine the shape factor for the wide-flange...Ch. 11 - The compound beam consists of two segments that...Ch. 11 - A shaft is made of a polymer having a parabolic...Ch. 11 - Determine the maximum bending stress in the handle...Ch. 11 - Determine the shear and moment in the beam as...Ch. 11 - A wooden beam has a square cross section as shown....Ch. 11 - Prob. 7RPCh. 11 - The strut has a square cross section a by a and is...
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