Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 4.9, Problem 4.108P
The rigid beam is supported by the three posts A, B, and C of equal length. Posts A and C have a diameter of 75 mm and are made of a material for which E = 70 GPa and σγ = 20 MPa. Post B has a diameter of 20 mm and is made of a material for which E’ = 100 GPa and σγ’ = 590 MPa. Determine the smallest magnitude of P so that (a) only rods A and C yield and (b) all the pasts yield.
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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 4 Solutions
Mechanics of Materials
Ch. 4.2 - In each case, determine the internal normal force...Ch. 4.2 - Determine the internal normal force between...Ch. 4.2 - The post weighs 8kN/m. Determine the internal...Ch. 4.2 - The rod is subjected to an external axial force of...Ch. 4.2 - The rigid beam supports the load of 60 kN....Ch. 4.2 - The 20-mm-diameter A-36 steel rod is subjected to...Ch. 4.2 - Segments AB and CD of the assembly are solid...Ch. 4.2 - The 30-mm-diameter A992 steel rod is subjected to...Ch. 4.2 - If the 20-mm-diameter rod is made of A-36 steel...Ch. 4.2 - The 20-mm-diameter 2014-T6 aluminum rod is...
Ch. 4.2 - The 20-mm-diameter 2014-T6 aluminum rod is...Ch. 4.2 - Prob. 4.1PCh. 4.2 - The copper shaft is subjected to the axial loads...Ch. 4.2 - The composite shaft, consisting of aluminum,...Ch. 4.2 - The composite shaft, consisting of aluminum,...Ch. 4.2 - 4-5. The assembly consists of a steel rod CB and...Ch. 4.2 - 4-6. The bar has a cross-sectional area of 3 in2,...Ch. 4.2 - 4–7. If P1 = 50 kip and P2 = 150 kip, determine...Ch. 4.2 - *4-8. If the vertical displacements of end A of...Ch. 4.2 - The assembly consists of two 10-mm diameter red...Ch. 4.2 - The assembly consists of two 10-mm diameter red...Ch. 4.2 - The load is supported by the four 304 stainless...Ch. 4.2 - The load is supported by the four 304 stainless...Ch. 4.2 - The rigid bar is supported by the pin-connected...Ch. 4.2 - Prob. 4.14PCh. 4.2 - Prob. 4.15PCh. 4.2 - *4-16. The hanger consists of three 2014-T6...Ch. 4.2 - 4-17. The hanger consists of three 2014-T6...Ch. 4.2 - Prob. 4.18PCh. 4.2 - Prob. 4.19PCh. 4.2 - The assembly consists of three titanium...Ch. 4.2 - Prob. 4.21PCh. 4.2 - Prob. 4.22PCh. 4.2 - Prob. 4.23PCh. 4.2 - Determine the relative displacement of one end of...Ch. 4.2 - Prob. 4.25PCh. 4.2 - Prob. 4.26PCh. 4.2 - 4-27. The circular bar has a variable radius of r...Ch. 4.2 - Prob. 4.28PCh. 4.2 - Prob. 4.29PCh. 4.2 - Prob. 4.30PCh. 4.5 - 4-31. The concrete column is reinforced using four...Ch. 4.5 - Prob. 4.32PCh. 4.5 - 4-33. The steel pipe is filled with concrete and...Ch. 4.5 - If column AB is made from high strength precast...Ch. 4.5 - If column AB is made from high strength precast...Ch. 4.5 - Determine the support reactions at the rigid...Ch. 4.5 - If the supports at A and C are flexible and have a...Ch. 4.5 - Prob. 4.38PCh. 4.5 - Prob. 4.39PCh. 4.5 - Prob. 4.40PCh. 4.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 4.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 4.5 - The assembly consists of two red brass C83400...Ch. 4.5 - *4-44. The assembly consists of two red brass...Ch. 4.5 - Prob. 4.45PCh. 4.5 - If the gap between C and the rigid wall at D is...Ch. 4.5 - The support consists of a solid red brass C83400...Ch. 4.5 - If there are n fibers, each having a...Ch. 4.5 - Prob. 4.49PCh. 4.5 - Prob. 4.50PCh. 4.5 - Prob. 4.51PCh. 4.5 - Prob. 4.52PCh. 4.5 - 4-53. Each of the three A-36 steel wires has the...Ch. 4.5 - 4-54. The 200-kg load is suspended from three A-36...Ch. 4.5 - The three suspender bars are made of A992 steel...Ch. 4.5 - Prob. 4.56PCh. 4.5 - 4-57. The rigid bar is originally horizontal and...Ch. 4.5 - Prob. 4.58PCh. 4.5 - 4-59. Two identical rods AB and CD each have a...Ch. 4.5 - *4-60. The assembly consists of two posts AD and...Ch. 4.5 - Prob. 4.61PCh. 4.5 - Prob. 4.62PCh. 4.5 - Prob. 4.63PCh. 4.5 - Prob. 4.64PCh. 4.5 - 4-65. Initially the A-36 bolt shank fits snugly...Ch. 4.5 - Prob. 4.66PCh. 4.5 - Prob. 4.67PCh. 4.6 - The C83400-red-brass rod AB and 2014-T6- aluminum...Ch. 4.6 - The assembly has the diameters and material...Ch. 4.6 - The rod is made of A992 steel and has a diameter...Ch. 4.6 - Prob. 4.71PCh. 4.6 - Prob. 4.72PCh. 4.6 - The pipe is made of A992 steel and is connected to...Ch. 4.6 - The bronze C86100 pipe has an inner radius of 0.5...Ch. 4.6 - The 40-ft-long A-36 steel rails on a train track...Ch. 4.6 - The device is used to measure a change in...Ch. 4.6 - The bar has a cross-sectional area A, length L,...Ch. 4.6 - When the temperature is at 30C, the A-36 steel...Ch. 4.6 - When the temperature is at 30C, the A-36 steel...Ch. 4.6 - When the temperature is at 30C, the A-36 steel...Ch. 4.6 - The 50-mm-diameter cylinder is made from Am...Ch. 4.6 - The 50-mm-diameter cylinder is made from Am...Ch. 4.6 - The wires AB and AC are made of steel, and wire AD...Ch. 4.6 - The cylinder CD of the assembly is heated from T1...Ch. 4.6 - The cylinder CD of the assembly is heated from T1=...Ch. 4.6 - The metal strap has a thickness t and width w and...Ch. 4.9 - Determine the maximum normal stress developed in...Ch. 4.9 - If the allowable normal stress for the bar is...Ch. 4.9 - The steel bar has the dimensions shown. Determine...Ch. 4.9 - 4-90. Determine the maximum axial force P that can...Ch. 4.9 - Determine the maximum axial force P that can be...Ch. 4.9 - Determine the maximum normal stress developed in...Ch. 4.9 - Prob. 4.93PCh. 4.9 - 4-94. The resulting stress distribution along...Ch. 4.9 - Prob. 4.95PCh. 4.9 - *4-96. The 10-mm-diameter shank of the steel bolt...Ch. 4.9 - The weight is suspended from steel and aluminum...Ch. 4.9 - The bar has a cross-sectional area of 0.5 in2 and...Ch. 4.9 - Prob. 4.99PCh. 4.9 - *4-100. The rigid beam is supported by a pin at A...Ch. 4.9 - The rigid lever arm is supported by two A-36 steel...Ch. 4.9 - The rigid lever arm is supported by two A-36 steel...Ch. 4.9 - Prob. 4.103PCh. 4.9 - The rigid beam is supported by three 25-mm...Ch. 4.9 - The rigid beam is supported by three 25-mm...Ch. 4.9 - Prob. 4.106PCh. 4.9 - Prob. 4.107PCh. 4.9 - The rigid beam is supported by the three posts A,...Ch. 4.9 - The rigid beam is supported by the three posts A,...Ch. 4.9 - Prob. 4.110PCh. 4.9 - The bar having a diameter of 2 in. is fixed...Ch. 4.9 - Determine the elongation of the bar in Prob.4108...Ch. 4.9 - Prob. 4.113PCh. 4 - The assembly consists of two A992 steel bolts AB...Ch. 4 - The assembly shown consists of two A992 steel...Ch. 4 - The rods each have the same 25-mm diameter and...Ch. 4 - Two A992 steel pipes, each having a...Ch. 4 - The force P is applied to the bar, which is made...Ch. 4 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 4 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 4 - The rigid link is supported by a pin at A and two...Ch. 4 - The joint is made from three A992 steel plates...
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