Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 13.1, Problem 15P
To determine
The pressure
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The 50-mm-diameter piston of the shown
pneumatic cylinder retracts 130 mm from its
present position (p1 = 2 bars gage, V1 = 300 cm3)
due to the external load on the rod. If the port at
the blank end of the cylinders is blocked, find the
new pressure, assuming the temperature does not
change.
The center rod CD of the assembly is heated from T₁ = 30 °C to T₂ = 165
°C using electrical resistance heating. At the lower temperature T₁ the gap
between C and the rigid bar is 0.7 mm. Rods AB and EF are made of
steel, and each has a cross-sectional area of 125 mm². CD is made of
aluminum and has a cross-sectional area of 375 mm². Est = 200 GPa,
Eal = 70 GPa, and cal = 23 (10-) /°C.
(Figure 1)
Figure
0.7 mm
240 mm
300 mm
Determine the force in the rod AB caused by the increase in temperature.
Express your answer to three significant figures and include the appropriate units.
FAB =
Submit
Part B
FEF=
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Submit
μA
Value
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Determine the force in the rod EF caused by the increase in temperature.
Express your answer to three significant figures and include the appropriate units.
|μA
Value
Units
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Units
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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 TB at B so that at any point x alongthe bar T = TA + x(TB - TA)>L. Determine the force the bar exerts on the rigid walls. Initially, no axial force is in the bar and the bar has a temperature of TA.
Chapter 13 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 13.1 - A spherical gas tank has an inner radius of r =...Ch. 13.1 - A pressurized spherical tank is made of...Ch. 13.1 - The thin-walled cylinder can be supported in one...Ch. 13.1 - Prob. 4PCh. 13.1 - Prob. 5PCh. 13.1 - Determine the maximum force P that can be exerted...Ch. 13.1 - Prob. 7PCh. 13.1 - The steel water pipe has an inner diameter of 12...Ch. 13.1 - The steel water pipe has an inner diameter of 12...Ch. 13.1 - The A-36-steel band is 2 in. wide and is secured...
Ch. 13.1 - The gas pipe line is supported every 20 ft by...Ch. 13.1 - Prob. 12PCh. 13.1 - An A-36-steel hoop has an inner diameter of 23.99...Ch. 13.1 - The ring, having the dimensions shown, is placed...Ch. 13.1 - Prob. 15PCh. 13.1 - Prob. 16PCh. 13.1 - Prob. 17PCh. 13.2 - In each case, determine the internal loadings that...Ch. 13.2 - The internal loadings act on the section. Show the...Ch. 13.2 - Determine the normal stress at comers A and B of...Ch. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the magnitude of the load P that will...Ch. 13.2 - Prob. 5FPCh. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the shortest distance d to the edge of...Ch. 13.2 - Determine the maximum distance d to the edge of...Ch. 13.2 - The plate has a thickness of 20 mm and the force P...Ch. 13.2 - If the load has a weight of 600 lb, determine the...Ch. 13.2 - The steel bracket is used to connect the ends of...Ch. 13.2 - Prob. 23PCh. 13.2 - The column is built up by gluing the two boards...Ch. 13.2 - Prob. 25PCh. 13.2 - The screw of the clamp exerts a compressive force...Ch. 13.2 - Prob. 27PCh. 13.2 - Prob. 28PCh. 13.2 - The joint is subjected to the force system shown....Ch. 13.2 - Prob. 30PCh. 13.2 - The 12-in.-diameter holt hook is subjected to the...Ch. 13.2 - Prob. 32PCh. 13.2 - Prob. 33PCh. 13.2 - Prob. 34PCh. 13.2 - Prob. 35PCh. 13.2 - The drill is jammed in the wall and is subjected...Ch. 13.2 - The drill is jammed in the wall and is subjected...Ch. 13.2 - The frame supports the distributed load shown....Ch. 13.2 - Prob. 39PCh. 13.2 - The rod has a diameter of 40 mm. If it is...Ch. 13.2 - The rod has a diameter of 40 mm. If it is...Ch. 13.2 - The beveled gear is subjected to the loads shown....Ch. 13.2 - The beveled gear is subjected to the loads shown....Ch. 13.2 - Determine the normal-stress developed at points A...Ch. 13.2 - Sketch the normal-stress distribution acting over...Ch. 13.2 - Prob. 46PCh. 13.2 - The solid rod is subjected to the loading shown....Ch. 13.2 - Prob. 48PCh. 13.2 - Prob. 49PCh. 13.2 - The C-frame is used in a riveting machine. If the...Ch. 13.2 - Prob. 51PCh. 13.2 - The uniform sign has a weight of 1500 lb and is...Ch. 13.2 - The uniform sign has a weight of 1500 lb and is...Ch. 13 - The post has a circular cross section of radius c....Ch. 13 - The 20-kg drum is suspended from the hook mounted...Ch. 13 - The 20-kg drum is suspended from the hook mounted...Ch. 13 - Prob. 4RPCh. 13 - If the cross section of the femur at section aa...Ch. 13 - Prob. 6RPCh. 13 - Prob. 7RPCh. 13 - Prob. 8RP
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- The central bar CD of the assembly is heated from 30 ° C to 180 ° C by means of an electrical resistance. Also the two bars AB and EF are heated from 30 ° C to 50 ° C. At the lower temperature of 30 ° C, the space between C and the rigid bar is 0.7 mm. Determine the force in bars AB and EF caused by the increase in temperature. Bars AB and EF are made of steel and each has a cross-sectional area of 125 mm ^ 2; CD is aluminum with a cross-sectional area of 375 mm ^ 2. Steel = 200GP; Ealuminum = 70 GPa; alpha steel = 12 X10 ^ -6 (1 / ºC); alpha aluminum = 23 X10 ^ -6 (1 / ° C).arrow_forwardThe wires AB and AC are made of steel, and wire AD is made of copper. Before the 150-lb force is applied, AB and AC are each 60 in. long and AD is 40 in. long. If the temperature is increased by 80 F, determine the force in each wire needed to support the load. Each wire has a cross-sectionalarea of 0.0123 in2. Take Est = 29(10 3) ksi, Ecu = 17(10 3) ksi, fast = 8(10 6)> F, acu = 9.60(10 -6)> F.arrow_forwardThe inner ring A has an inner radius r1 and outer radius r2. The outer ring B has an inner radius r3 and an outer radius r4, and r2 7 r3. If the outer ring is heated and then fitted over the inner ring, determine the pressure between the two rings when ring B reaches the temperature of the inner ring. The material has a modulus of elasticity of E and a coefficient of thermal expansion of a.arrow_forward
- The wires AB and AC are made of steel, and wire AD is made of aluminum. Before the 300 kN force is applied, AB and AC are each 150 mm. long and AD is 100 mm. long. If the temperature is increased by 30°C, determine the force in each wire needed to support the load. Take Est = 200 GPa, Eal = 70 GPa, st = 12 (10") / °C, aal = 23 (10") / °C. Each wire has a cross-sectional area of 0.02 mm². B 100 mm 45° 45° 150 mm 150 mm A 300 kNarrow_forward3. The rigid bar ABC and EFG are supported by pins at A and G. The vertical rods are made of steel (rod DC and rod BE). Determine the vertical displacement at C if the change in temperature is 50°C. Use a = 0.0000117/°C and E = 200 GPa. Neglect the weight of the members. A=125 sq. mm L= 2 m A 2 m B 2 m A=135 sq. mm L = 3 m E G 2 m F 3 m 50 kNarrow_forwardA structure member is subjected to force (T = 50 kN). Also, a uniformly distributed load is applied to member CD. If the reaction at roller support is 25 upward. Determine the minimum value of (w) and reaction at C.arrow_forward
- The 58-mm-diameter cylinder is made from Am 1004-T61 magnesium and is placed the clamp when the temperature is T₁ = 20°C. (Figure 1) Figure 100 mm 150 mm Part A If the 304-stainless-steel carriage bolts of the clamp each have a diameter of 9 mm, and they hold the cylinder snug with negligible force against the rigid jaws, determine the force in the cylinder when the temperature rises to T₂ = 130°C. Express your answer to three significant figures and include the appropriate units. F = 2.37 Submit μÀ ^ Provide Feedback KN WX Previous Answers Request Answer ? X Incorrect; Try Again; 3 attempts remaining Next >arrow_forwardThe stepped rod shown in the figure is made of Al 2014-T6 aluminum alloy. At temperature T1 = 20°C, there is a gap of 0.2 mm between point A and the rigid wall. If the temperature is increased to T2-50°C and an axial compressive force of P= 20 kN is applied at point B, determine the support reactions at points A and C. 80 mm B C A 20 kN 120 mm 400 mm 600 mm 0,2 mmarrow_forwardDetermine the force that the wall exerts on the aluminum rod at point B after the temperature change. (Give your answer in kN and to 0 decimal places.) Determine the force that the wall exerts on the brass rod at point A after the temperature change. (Give your answer in kN and to 0 decimal places.)arrow_forward
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