Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 9.6, Problem 61P
To determine
Find the average normal stress
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The gas pipeline is supported every 20 ft by concrete piers and also lays on the ground. If there are rigid retainers at the piers that hold the pipe fixed, determine the longitudinal and hoop stress in the pipe if the temperature rises 60° F from the temperature at which it was installed. The gas within the pipe is at a pressure of 600 lb>in2. The pipe has an inner diameter of 20 in. and thickness of 0.25 in. The material is A-36 steel.
When the temperature is at 30°C, the A-36 steel pipe fits snugly between the two fuel tanks. When fuel flows through the pipe, the temperatures at ends A and B rise to 130°C and 80°C, respectively. If the temperature drop along the pipe is linear, determine the average normal stress developed in the pipe. Assume each tank provides rigid support at A and B.
At the ambient temperature, the A-36 steel pipe fits snugly between the two fuel tanks.
When fuel flows through the pipe, it causes the temperature to vary along the pipe. As a
consequence, if the pipe were unconstrained by the rigid supports at A and B, it would
elongate by 8, = 4.6 mm. What is the normal stress developed in the pipe? For A-36
steel, Est = 200 GPa.
150 mm
10 mm
Section a - a
-6 m
Chapter 9 Solutions
Statics and Mechanics of Materials (5th Edition)
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- When the temperature is at 30°C, the A-36 steel pipe fits snugly between the two fuel tanks. When fuel flows through the pipe, the temperatures at ends A and B rise to 130°C and 80°C, respectively. If the temperature drop alongthe pipe is linear, determine the average normal stress developed in the pipe. Assume the walls of each tank act as a spring, each having a stiffness of k = 900 MN>m.arrow_forwardAir is pumped into the steel thin-walled pressure vessel at C. If the ends of the vessel are closed using two pistons connected by a rod AB, determine the increase in the diameter of the pressure vessel when the internal gage pressure is 5 MPa. Also, what is the tensile stress in rod AB if it has a diameter of 100 mm? The inner radius of the vessel is 400 mm, and its thickness is 10 mm. Est = 200 GPa and nst = 0.3.arrow_forwardThe two cylindrical rod segments are fixed to the rigid walls such that there is a gap of 0.01 in. between them when T₁ = 60°F. What larger temperature T₂ is required in order to just close the gap? Each rod has a diameter of 1.25 in. Determine the average normal stress in each rod if T₂ al = 300°F. Take a = 13(106)/°F, E = 10(10³) ksi. 9.4(10)/°F. Ecu 15(10³) ksi, and = 40 ksi. acu (y)al (vy)cu <= 50 ksi. Copper -12 inarrow_forward
- The 3-in.-diameter pipe shown in (Figure 1) carries gasoline at a temperature of 68°F. Figure 8 ft -3 in. < 1 of 1 Part A If the pressure drops 1.5 psi within the 8 ft length, determine the magnitude of the shear stress acting along the wall of the pipe. Express your answer using three significant figures. T = Submit Provide Feedback AΣ vec Request Answer ? lb/ft²arrow_forwardThe two cylindrical rod segments are fixed to the rigid walls such that there is a gap of 0.01 in. between them when T1 = 60°F. Each rod has a diameter of 1.25 in. Determine the average normal stress in each rod if T2 = 400 F, and also calculate the new length of the aluminum segment. Take aal = 13(10-6)>°F, Eal = 10(103) ksi, (sY)al = 40 ksi, acu = 9.4(10-6)>°F, (sY)cu = 50 ksi, and Ecu = 15(103) ksiarrow_forwardThe gas storage tank is fabricated by bolting together two half cylindrical thin shells and two hemispherical shells as shown. If the tank wall has a thickness of 50 mm for cylindrical and hemispherical shells, The bolts were installed as 40 bolts/meter. The tank and the 25 mm diameter bolts are made from material having an allowable normal stress of 150 MPa and 250 MPa, respectively. The tank has an inner diameter of 4 m. What is the maximum pressure that tank can contain.arrow_forward
- The spherical gas tank is fabricated by bolting together two hemispherical thin shells of thickness 30 mm. The gas contained in the tank is under a gauge pressure of 2.5 MPa. If the tank has an inner diameter of 8 m and is sealed with 900 bolts each 20 mm in diameter, determine the stress developed in each bolt.arrow_forwardA cylindrical pressure vessel is fabricated from steel plating that has a thickness of 20 mm. The diameter of the pressure vessel is 450 mm and its length is 2.0 m. Determine the maximum internal pressure that can be applied if the longitudinal stress is limited to 140 МРа, and the circumferential stress is limited to 60 МРа. A spherical shell with 70-in. outer diameter and 67-in. inner diameter contains helium at a pressure of 1200 psi. Compute the stress in the shell.arrow_forwardThe cylindrical tank with a spherical end cap has an outer radius of 2 m and a wall thickness of 50 mm. If the tank is pressurized to 3.5 MPa, determine the longitudinal and circumferential stresses in the cylinder, and the stress in the end cap. (Show free body diagram and complete solution)arrow_forward
- The piston-cylinder assembly above has a wall thickness of 0.125" and an outer radius ro= 2 in. If the internal gauge pressure is 1.2 ksi, determine the maximum normal stress in the piston wall. 18 ksl O9 ksi 36 ksi N/A (this does not meet the criteria of a "thin-walled" pressure vessel)arrow_forwardWhen filled to capacity, the unpressurized storage tank contains water to a height of h = 39 ft. The outside diameter of the tank is 6.3 ft and the wall thickness is 0.707 in. Determine the maximum normal stress and the absolute maximum shear stress on the outer surface of the tank at its base. (Weight density of water = 62.4 lb/ft³.) Answers: Maximum normal stress σ = i Maximum shear stress T = i psi. psiarrow_forwardThe cylindrical tank with a spherical endcap has an outer radius of 2 m and a wall thickness of 25 mm. If the tank is pressurized to 1.5 MPa, determine the longitudinal and circumferential stresses in the cylinder, and the stress in the endcap.arrow_forward
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