Explanation Given information: The A-36 steel pipe fits snugly between the two fuel tanks. The Young’s modulus of the steel ( E ) is 200 × 10 3 N/mm 2 . The coefficient of thermal expansion ( α ) of the steel is 12 × 10 − 6 m/m ° C . The temperature ( T ) of the pipe is 30 ° C . The temperature of the pipe A ( T A ) is 130 ° C . The temperature of the pipe B ( T B ) is 80 ° C . The inner radius ( r ) of the pipe is 150 mm. The thickness ( t ) of the pipe is 10 mm. The length ( L ) of the pipe is 6 m. The stiffness ( k ) of spring is 900 MN/m Calculation: Calculate outer radius( R ) of the pipe using the formula: R = r + t Substitute 150 mm for r and 10 mm for t . R = 150 + 10 = 160 mm Calculate area ( A ) of the pipe using the formula: A = π ( R 2 − r 2 ) Substitute 170 mm for R and 150 mm for r . A = π × ( 160 2 − 150 2 ) = 3100 π mm 2 Show the temperature gradient of the pipe as in Figure 1. Calculate the temperature T ( x ) at point x along the pipe: T ( x ) = 80 + 50 6 ( 6 − x ) = 80 + 50 − 25 3 x = 130 − 25 3 x Calculate the difference of temperature ( Δ T ) of the members using the formula: Δ T = T ( x ) − T 1 Substitute ( 130 − 25 3 x ) for T ( x ) and 30 ° C for T . Δ T = 130 − 25 3 x − 30 = 100 − 25 3 x Calculate the deformation due to temperature ( δ T ) using the formula: δ T = ∫ 0 L α Δ T d x Substitute 6 m for L , ( 100 − 25 3 x ) for Δ T , and 12 × 10 − 6 m/m ° C for α . δ T = ∫ 0 6 12 × 10 − 6 ( 100 − 25 3 x ) d x = 12 × 10 − 6 ∫ 0 6 ( 100 − 25 3 x ) d x Integrate Equation. δ T = 12 × 10 − 6 [ 100 x − 25 x 2 3 × 2 ] 0 6 = 12 × 10 − 6 ( 100 ( 6 ) − 25 ( 6 ) 2 6 ) = 12 × 10 − 6 ( 450 ) = 5

Statics and Mechanics of Materials Plus Mastering Engineering with Pearson eText - Access Card Package (5th Edition)

5th Edition

ISBN: 9780134301006

Author: Russell C. Hibbeler

Publisher: PEARSON

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Chapter 9.6, Problem 67P

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Find the average normal stress developed in the pipe.

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Chapter 9 Solutions

Statics and Mechanics of Materials Plus Mastering Engineering with Pearson eText - Access Card Package (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. 2FP Ch. 9.2 - The 30-mm-diameter A992 steel rod is subjected to...Ch. 9.2 - Prob. 4FP Ch. 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. 17P Ch. 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. 22P Ch. 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. 25P Ch. 9.2 - The truss consists of three members, each made...Ch. 9.2 - Prob. 27P Ch. 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. 45P Ch. 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. 61P Ch. 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. 65P Ch. 9.6 - Prob. 66P Ch. 9.6 - Prob. 67P Ch. 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. 71P Ch. 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. 74P Ch. 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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Find the average normal stress developed in the pipe.

Solution Summary: The author explains how the A-36 steel pipe fits snugly between the two fuel tanks.

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Chapter 9 Solutions