Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382869
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 9.6, Problem 59P
The 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 = 300°F, Take αal = 1.3(10−6)/°F, Eal = 10(103) ksi, (σY)al = 40 ksi, αcu = 9.4(10−6)/°F, Ecu = 15(103) ksi, and (σY)cu = 50 ksi.
Prob. 9-59/60
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The 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 in
When the temperature is 10°C, the two rods are separated by a 0.5-mm
0.5 mm
gap as shown. If the temperature rises to 90°C, determine
(a) the normal stress in each rod,
300 mm
250 mm
(b) the change in length of the stainless steel rod.
A
B
Aluminum
A = 2000 mm?
E = 75 GPa
a = 23 x 10-6/°C
Stainless steel
A = 800 mm?
E = 190 GPa
a = 17.3 x 10-/°C
Change the given to lamp=81 kg, AB=5mm, BC=9mm
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...
Knowledge Booster
Learn more about
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
- 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_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_forwardDetermine the required gap (δ) so that the rails just touch one another when the temperature is increased from Ti = -20F and Tf = 100F Determine the stress in steel rails if the gap is δ = 0.5 in and the temperature is increased from Ti = -20F to Tf = 120F. NOTE: indicate the free body diagram.arrow_forward
- use this values lamp = 81 kg, AB = 5 mm, BC = 8mmarrow_forwardThe 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_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_forward
- The three rods are made of A-36 steel and form a pin-connected truss as shown. The assembly is stress- free at 50 °F. Determine the force in each bar when the temperature of the assembly is increased to 110 °F. The cross-sectional area of each bar is 2.5 in². 5 ft 4 ft D 5 ft 3 ft 3ftarrow_forwardAt a temperature of 20 °C there is a gap ∆ = 0.2 mm between the lower end of the brass bar and the slab rigid suspended from the two steel bars. Neglecting the mass of the slab, determine the stress in each bar when the temperature of the assembly rises to 100°C Answer: σsteel = 15.462MPa (t), σbronze= 20.615MPa(c),arrow_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
- Q3: The plate has a width of 0.5 m. If the stress distribution at the support varies as shown, determine the force P applied to the plate and the distance d to where it is applied. 4 m P d o = (15x2) MPa 30 MPaarrow_forwardAt room temperature (20°C), a 0.5-mm gap exists between the ends of the rods shown. The temperature eventually reaches a value of 140°C. Determine the normal stress in the aluminum rod. Determine the change in length of the aluminum rod.arrow_forwardThe pipe is made of A992 steel and is connected to the collars at A and B. When the temperature is 60°F, there is no axial load in the pipe. If hot gas traveling through the pipe causes its temperature to rise by T = (40 + 15x) F, where x is in feet, determine the average normal stress in the pipe. The inner diameter is 2 in., the wall thickness is 0.15 in.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Pressure Vessels Introduction; Author: Engineering and Design Solutions;https://www.youtube.com/watch?v=Z1J97IpFc2k;License: Standard youtube license