Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 4.9, Problem 4.106P
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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SN = 79 kips
3. The rigid bars AB and CD are supported by pins at A and D. The
vertical rods are made of aluminum and bronze. Determine the vertical
displacement of the point where the force P = 10 kips is applied.
Neglect the weights of the members.
Aluminum
L= 4 f
A=0.75 in.
E= 10x 10 psi
B
4 ft
Bronze
L= 5 A
A=0.25 in.?
E= 12x 10 psi
2 ft--2 ft-→
The steel box wrench (E=29,000ksi, v=0.32) is
loaded with a 40-lb horizontal force and a 25-lb
vertical force. Find the following for an element
located at point B on Section a-a:
24 in.
1. The non-vanishing resultant internal moments
on section a-a are which of the following?
4 in.
a. (160 i- 600 j+960 k)in · Ib
b. (-160 i+600 j+960 k ) in · lb
c. (-960 i+160 j+600 k)in - lb
d. (-960 i -160 ј-600 k)in-lb
a
e. none of the above
2. The normal and shear force components on
section a-a are:
a. V, = 65lb;V, = 40lb; N¸ = 25lb
b. V, = 0;V, =40lb; N, = 25lb
c. V, = 64;V, = 25lb; N, = 40lb
d. V, =0;V, =-40lb; N¸ = -25lb
e. none of the above
3. The non-vanishing stress components at point B are:
0̟ =1.60; t =-4.89ksi;
а.
0, =-4.89; 7 =3.60ksi;
0, = 2.50ksi; T,
d. o, = 4.91ksi; t =-4.89ksi;
b.
с.
=-4.89ksi;
е.
none of the above
4. The principal stresses at point B from most tensile to most compressive are:
O1,02,0; =4.16,–0.8,–5.76
b. o,,0,,0, =5.76,0,–4.16
а.
O1,02,0; =1.9,-2.45,-6.8
с.
d.…
Chapter 4 Solutions
Mechanics of Materials (10th Edition)
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 - The A992 steel rod is subjected to the loading...Ch. 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 - The 2014-T6 aluminium rod has a diameter of 30 mm...Ch. 4.2 - The A-36 steel drill shaft of an oil well extends...Ch. 4.2 - The truss is made of three A-36 steel members,...Ch. 4.2 - The truss is made of three A-36 steel members,...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 - The post is made of Douglas fir and has a diameter...Ch. 4.2 - The post is made of Douglas fir and has a diameter...Ch. 4.2 - The coupling rod is subjected to a force of 5 kip....Ch. 4.2 - The pipe is stuck in the ground so that when it is...Ch. 4.2 - The is made of three pin-connected A992 steel...Ch. 4.2 - The linkage is made of three pin connected A992...Ch. 4.2 - The assembly consists of three titanium...Ch. 4.2 - The rigid beam is supported at its ends by two...Ch. 4.2 - The rigid beam is supported at its ends by two...Ch. 4.2 - The steel bar has the original dimensions shown in...Ch. 4.2 - Determine the relative displacement of one end of...Ch. 4.2 - The assembly consists of two rigid bars that are...Ch. 4.2 - The truss consists of three members, each made...Ch. 4.2 - Solve Prob. 426 when the load P acts vertically...Ch. 4.2 - The observation cage C has a weight of 250 kip and...Ch. 4.2 - The steel bar has the original dimensions shown in...Ch. 4.2 - The ball is truncated at its ends and is used to...Ch. 4.5 - The column is constructed from high-strength...Ch. 4.5 - The column is constructed from high-strength...Ch. 4.5 - The A-36 steel pipe has a 6061-T6 aluminum core....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 - The load of 2000 lb is to be supported by the two...Ch. 4.5 - The load of 2000 lb is to be supported by the two...Ch. 4.5 - The A-36 steel pipe has an outer radius of 20 mm...Ch. 4.5 - The 10-mm-diameter steel bolt is surrounded by a...Ch. 4.5 - The 10-mm-diameter steel bolt is surrounded by a...Ch. 4.5 - The assembly consists of two red brass C83400...Ch. 4.5 - The rigid beam is supported by the three suspender...Ch. 4.5 - The bolt AB has a diameter of 20 mm and passes...Ch. 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 - The rigid bar is pinned at A and supported by two...Ch. 4.5 - The rigid bar is pinned at A and supported by two...Ch. 4.5 - 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Determine...Ch. 4.9 - The A-36 steel plate has a thickness of 12 mm. If...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 - The member is to be made from a steel plate that...Ch. 4.9 - The resulting stress distribution along section AB...Ch. 4.9 - The resulting stress distribution along section AB...Ch. 4.9 - Prob. 4.96PCh. 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 - The distributed loading is applied to the rigid...Ch. 4.9 - The distributed loading is applied to the rigid...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 - The 300-kip weight is slowly set on the top of a...Ch. 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 - 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 - 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 - The rigid beam is supported by three A-36 steel...Ch. 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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