EBK STATICS AND MECHANICS OF MATERIALS
5th Edition
ISBN: 8220102955295
Author: HIBBELER
Publisher: PEARSON
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Chapter 9.6, Problem 64P
The device is used to measure a change in temperature. Bars AB and CD are made of A-36 steel and 2014-T6 aluminum alloy, respectively. When the temperature is at 75°F, ACE is in the horizontal position. Determine the vertical displacement of the pointer at E when the temperature rises to 150°F.
Prob. 9-64
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The device is used to measure a change in
temperature. Bars AB and CD are made of A-36 steel
and 2014-T6 aluminum alloy respectively. When the
temperature is at 65° F, ACE is in the horizontal
position.
Figure
1.5 in.
-0.25 in.
C
3 in.
1 of 1
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Part A
Determine the vertical displacement of the pointer at E when the temperature rises to 160 ° F.
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*9-72. The cylinder CD af the assembly is heated from
T, = 30 °C to T, = 180 °C using electrical resistance. At the
lower temperature T, the gap between C and the rigid bar is
0.7 mm. Determine the force in rods AB and EF caused by
the increase in temperature. Rods AB and EF are made of
steel, and cach has a cross-sectional area of 125 mm. CD is
made of aluminum and has a cross-sectional area of 375 mm.
E = 200 GPa, Ea = 70 GPa, and au = 23(10)/C
a7 mm
ல் mm 300் m
The rod has a circular cross section. If it is made of an elastic perfectly plastic material, determine the shape factor for the rod.
Chapter 9 Solutions
EBK STATICS AND MECHANICS OF MATERIALS
Ch. 9.2 - In each case, determine the internal normal force...Ch. 9.2 - Determine the internal normal force between...Ch. 9.2 - The post weighs 8 kN/m. Determine the internal...Ch. 9.2 - The rod is subjected to an external axial force of...Ch. 9.2 - The rigid beam supports the load of 60 kN....Ch. 9.2 - The 20-mm-diameter A-36 steel rod is subjected to...Ch. 9.2 - Prob. 2FPCh. 9.2 - The 30-mm-diameter A992 steel rod is subjected to...Ch. 9.2 - Prob. 4FPCh. 9.2 - Prob. 5FP
Ch. 9.2 - The 20-mm-diameter 2014-T6 aluminum rod is...Ch. 9.2 - The A992 steel rod is subjected to the loading...Ch. 9.2 - The copper shaft is subjected to the axial loads...Ch. 9.2 - The composite shaft, consisting of aluminum,...Ch. 9.2 - The composite shaft, consisting of aluminum,...Ch. 9.2 - The 2014-T6 aluminum rod has a diameter of 30 mm...Ch. 9.2 - The A-36 steel drill shaft of an oil well extends...Ch. 9.2 - The truss is made of three A-36 steel members,...Ch. 9.2 - The truss is made of three A-36 steel members,...Ch. 9.2 - The assembly consists of two 10-mm diameter red...Ch. 9.2 - The assembly consists of two 10-mm diameter red...Ch. 9.2 - The load is supported by the four 304 stainless...Ch. 9.2 - The load is supported by the four 304 stainless...Ch. 9.2 - The rigid bur is supported by the pin-connected...Ch. 9.2 - The post is made of Douglas fir and has a diameter...Ch. 9.2 - The post is made of Douglas fir and has a diameter...Ch. 9.2 - The coupling rod is subjected to a force of 5 kip....Ch. 9.2 - Prob. 17PCh. 9.2 - The linkage is made of three pin-connected A992...Ch. 9.2 - The linkage is made of three pin-connected A992...Ch. 9.2 - The assembly consists of three titanium...Ch. 9.2 - The rigid beam is supported at its ends by two...Ch. 9.2 - Prob. 22PCh. 9.2 - The steel bar has the original dimensions shown in...Ch. 9.2 - Determine the relative displacement of one end of...Ch. 9.2 - Prob. 25PCh. 9.2 - The truss consists of three members, each made...Ch. 9.2 - Prob. 27PCh. 9.2 - The observation cage C has a weight of 250 kip and...Ch. 9.2 - Determine the elongation of the aluminum strap...Ch. 9.2 - The ball is truncated at its ends and is used to...Ch. 9.5 - The column is constructed from high-strength...Ch. 9.5 - The column is constructed from high-strength...Ch. 9.5 - The A-36 steel pipe has a 6061-T6 aluminum core....Ch. 9.5 - If column AB is made from high strength precast...Ch. 9.5 - If column AB is made from high strength precast...Ch. 9.5 - Determine the support reactions at the rigid...Ch. 9.5 - If the supports at A and C are flexible and have a...Ch. 9.5 - The load of 2000 lb is to be supported by the two...Ch. 9.5 - The load of 2000 lb is to be supported by the two...Ch. 9.5 - The A-36 steel pipe has an outer radius of 20 mm...Ch. 9.5 - The 10-mm-diameter steel bolt is surrounded by a...Ch. 9.5 - The 10-mm-diametcr steel bolt is surrounded by a...Ch. 9.5 - The assembly consists of two red brass C83400...Ch. 9.5 - The rigid beam is supported by the three suspender...Ch. 9.5 - Prob. 45PCh. 9.5 - If the gap between C and the rigid wall at D is...Ch. 9.5 - The support consists of a solid red brass C83400...Ch. 9.5 - The specimen represents a filament-reinforced...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 9.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 9.5 - The three suspender bars are made of A992 steel...Ch. 9.6 - The C83400-red-brass rod AB and 2014-T6-aluminum...Ch. 9.6 - The assembly has the diameters and material...Ch. 9.6 - The rod is made of A992 steel and has a diameter...Ch. 9.6 - The two cylindrical rod segments are fixed to the...Ch. 9.6 - The two cylindrical rod segments are fixed to the...Ch. 9.6 - Prob. 61PCh. 9.6 - The bronze C86100 pipe has an inner radius of 0.5...Ch. 9.6 - The 40-ft-long A-36 steel rails on a train track...Ch. 9.6 - The device is used to measure a change in...Ch. 9.6 - Prob. 65PCh. 9.6 - Prob. 66PCh. 9.6 - Prob. 67PCh. 9.6 - When the temperature is at 30C, the A-36 steel...Ch. 9.6 - The 50-mm-diameter cylinder is made from Am...Ch. 9.6 - The 50-mm-diametcr cylinder is made from Am...Ch. 9.6 - Prob. 71PCh. 9.6 - The cylinder CD of the assembly is heated from T1...Ch. 9.6 - The cylinder CD of the assembly is heated from T1...Ch. 9.6 - Prob. 74PCh. 9 - The assembly consists of two A992 steel bolts AB...Ch. 9 - The assembly shown consists of two A992 steel...Ch. 9 - The rods each have the same 25-mm diameter and...Ch. 9 - Two A992 steel pipes, each having a...Ch. 9 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 9 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 9 - The rigid link is supported by a pin at A and two...Ch. 9 - The joint is made from three A992 steel plates...
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- The device is used to measure a change in temperature. Bars AB and CD are made of A-36 steel and 2014-T6 aluminum alloy, respectively. When the temperature is at 75°F, ACE is in the horizontal position. Determine thevertical displacement of the pointer at E when the temperature rises to 150°F.arrow_forwardThe beam AB has a moment of inertia I = 475 in4 and rests on the smooth supports at its ends. A 0.75-in.- diameter rod CD is welded to the center of the beam and to the fixed support at D. If the temperature of the rod is decreased by 150°F, determine the force developed in the rod. The beam and rod are both made of A-36 steel.arrow_forward*9-68. The bar has a cross-sectional area A, length L, modulus of elasticity E, and coefficient of thermal expansion a. The temperature of the bar changes uniformly along its length from Ta at A to Ta at B so that at any point x along the bar T = TA + 1(Ta - TA)/L. Determine the force the bar exerts on the rigid walk Initially no axial force is in the bar and the bar has a temperature of TA- TAarrow_forward
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- Find the volume of the solid that results when the shaded region is revolved about the indicated axis. y = V27 – x NOTE: Enter the exact answer. V = 6- 27arrow_forward9-15. The steel bar has the original dimensions shown in the figure. If it is subjected to an axial load of 50 kN. determine the change in its length and its new cross-sectional dimensions at section aa. E-200 GPa,-029. 50 AN SOLN -20 mm mm s50 mm 50 mm 50 kN 200 mmarrow_forward9-58. The rod is made of A-36 steel and has a diameter of 20 mm. If the rod is 1.2 m long when the springs are compressed 12 mm and the temperature of the rodis T= 10 "C, determine the force in the rod when its temperature is T = 75 "C. |k- 200 kN/m k- 200 kNim F1.2 m-arrow_forward
- 9-74. The metal strap has a thickness t and width w and is subjected to a temperature gradient T, to T; (T, < T,). This causes the modulus of elasticity for the material to vary linearly from E, at the top to a smaller amount E, at the bottom. As a result, for any vertical position y, measured from the top surface, E=[(E, - E,) /wly + E. Determine the position d where the axial force P must be applied so that the bar stretches uniformly over its cross section.arrow_forwardThe assembly consists of a steel rod CB and an aluminum rod BA, each having a diameter of 15 mm. The rod is subjected to the axial loadings at A and at the coupling B. If after applying the load coupling B displaced 1.1 mm to the right, determine the change in the dimension of the cross section of steel rod CB. The unstretched length of each segment is shown in the figure. Neglect the size of the connections at B and C, and assume that they are rigid. Est = 200 GPa Vst = 0.32 %3D В A 20 kN 7 kN 3 m - 2 m·arrow_forwardThe cylindrical vessel with hemispherical end caps is made of steel and pressurized to 3.6 MPa. The vessel has a uniform thickness of 18 mm, an outer diameter of 400 mm and effective length of 600 mm. If this vessel is to be replaced with a spherical vessel of equal pressure and equal material strength, determine its thickness.arrow_forward
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