Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 10.6, Problem 10.53P
Air 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 vst = 0.3.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Air pressure in the cylinder is increased by exerting forces P = 3 kN on the two pistons, each having a radius of 45 mm. The cylinder is shown in the figure below.
If the cylinder has a wall thickness of 2 Mm, determine the circumferential stress in the wall of the cylinder. Express your answer to three significant figures and include appropriate units.
In order to increase the strength of the pressure vessel, filament winding of the same material is wrapped around the circumference of the vessel as shown. If the pretension in the filament is T and the vessel is subjected toan internal pressure p, determine the hoop stresses in the filament and in the wall of the vessel. Use the free-body diagram shown, and assume the filament winding has a thickness t and width w for a corresponding length L of the vessel.
The 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.
Chapter 10 Solutions
Mechanics of Materials (10th Edition)
Ch. 10.3 - Prove that the sum of the normal strains in...Ch. 10.3 - The state of strain at the point on the arm has...Ch. 10.3 - The state of strain at the point on the pin leaf...Ch. 10.3 - The state of strain at the point on the pin leaf...Ch. 10.3 - The state of strain at the point on the leaf of...Ch. 10.3 - Use the strain transformation equations and...Ch. 10.3 - Use the strain transformation equations and...Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Use the strain- transformation equations to...
Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Determine the equivalent state of strain on an...Ch. 10.3 - Determine the equivalent state of strain which...Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Determine the equivalent state of strain, which...Ch. 10.3 - Solve Prob.103 using Mohrs circle. 103. The state...Ch. 10.3 - using Mohrs circle. 103. The state of strain at...Ch. 10.3 - Solve Prob.105 using Mohrs circle. 105. The state...Ch. 10.3 - Solve Prob.108 using Mohrs circle 108. The state...Ch. 10.3 - using Mohrs circle. 106. The state of strain at a...Ch. 10.5 - The strain at point A on the bracket has...Ch. 10.5 - Determine (a) the principal strains at A, (b) the...Ch. 10.5 - Determine (a) the principal strains at A, in the...Ch. 10.5 - The following readings are obtained for each gage:...Ch. 10.5 - The following readings are obtained for each gage:...Ch. 10.5 - The following readings are obtained for each gage:...Ch. 10.5 - The following readings are obtained from each...Ch. 10.6 - For the case of plane stress, show that Hookes law...Ch. 10.6 - to develop the strain tranformation equations....Ch. 10.6 - Determine the modulus of elasticity and Polssons...Ch. 10.6 - If it is subjected to an axial load of 15 N such...Ch. 10.6 - If it has the original dimensions shown, determine...Ch. 10.6 - If it has the original dimensions shown, determine...Ch. 10.6 - A strain gage having a length of 20 mm Is attached...Ch. 10.6 - Determine the bulk modulus for each of the...Ch. 10.6 - The strain gage is placed on the surface of the...Ch. 10.6 - Determine the associated principal stresses at the...Ch. 10.6 - Determine the applied load P. What is the shear...Ch. 10.6 - If a load of P = 3 kip is applied to the A-36...Ch. 10.6 - The cube of aluminum is subjected to the three...Ch. 10.6 - The principal strains at a point on the aluminum...Ch. 10.6 - A uniform edge load of 500 lb/in. and 350 lb/in....Ch. 10.6 - Prob. 10.45PCh. 10.6 - A single strain gage, placed in the vertical plane...Ch. 10.6 - A single strain gage, placed in the vertical plane...Ch. 10.6 - If the material is graphite for which Eg = 800 ksi...Ch. 10.6 - Determine the normal stresses x and y in the plate...Ch. 10.6 - The steel shaft has a radius of 15 mm. Determine...Ch. 10.6 - Prob. 10.51PCh. 10.6 - The A-36 steel pipe is subjected to the axial...Ch. 10.6 - Air is pumped into the steel thin-walled pressure...Ch. 10.6 - Air is pumped into the steel thin-walled pressure...Ch. 10.6 - Prob. 10.55PCh. 10.6 - The thin-walled cylindrical pressure vessel of...Ch. 10.6 - The thin-walled cylindrical pressure vessel of...Ch. 10.6 - Prob. 10.58PCh. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - The yield stress for a zirconium-magnesium alloy...Ch. 10.7 - Solve Prob. 1061 using the maximum distortion...Ch. 10.7 - If a machine part is made of tool L2 steel and a...Ch. 10.7 - Solve Prob.1063 using the maximum distortion...Ch. 10.7 - Prob. 10.65PCh. 10.7 - If a shaft is made of a material for which y = 75...Ch. 10.7 - Solve Prob.1066 using the maximum shear stress...Ch. 10.7 - If the material is machine steel having a yield...Ch. 10.7 - The short concrete cylinder having a diameter of...Ch. 10.7 - Prob. 10.70PCh. 10.7 - The plate is made of Tobin bronze, which yields at...Ch. 10.7 - The plate is made of Tobin bronze, which yields at...Ch. 10.7 - An aluminum alloy is to be used for a solid drive...Ch. 10.7 - If a machine part is made of titanium (TI-6A1-4V)...Ch. 10.7 - The components of plane stress at a critical point...Ch. 10.7 - The components of plane stress at a critical point...Ch. 10.7 - The 304-stainless-steel cylinder has an inner...Ch. 10.7 - The 304-stainless-steel cylinder has an inner...Ch. 10.7 - If the 2-in diameter shaft is made from brittle...Ch. 10.7 - If the 2-in diameter shaft is made from cast iron...Ch. 10.7 - If Y = 50 ksi, determine the factor of safety for...Ch. 10.7 - Prob. 10.82PCh. 10.7 - If the yield stress for steel is Y = 36 ksi,...Ch. 10.7 - Prob. 10.84PCh. 10.7 - The state of stress acting at a critical point on...Ch. 10.7 - The shaft consists of a solid segment AB and a...Ch. 10.7 - The shaft consists of a solid segment AB and a...Ch. 10.7 - Prob. 10.88PCh. 10.7 - If Y = 50 ksi, determine the factor of safety for...Ch. 10.7 - The gas tank is made from A-36 steel and has an...Ch. 10.7 - The internal loadings at a critical section along...Ch. 10.7 - If the material is machine steel having a yield...Ch. 10.7 - If the material is machine steel having a yield...Ch. 10 - In the case of plane stress, where the in-plane...Ch. 10 - The plate is made of material having a modulus of...Ch. 10 - If the material is machine steel having a yield...Ch. 10 - Determine if yielding has occurred on the basis of...Ch. 10 - The 60 strain rosette is mounted on a beam. The...Ch. 10 - Use the strain transformation equations to...Ch. 10 - If the strain gages a and b at points give...Ch. 10 - Use the strain-transformation equations and...Ch. 10 - Use the strain transformation equations to...Ch. 10 - Specify the orientation of the corresponding...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
What is an uninitialized variable?
Starting Out with Programming Logic and Design (5th Edition) (What's New in Computer Science)
17–1C A high-speed aircraft is cruising in still air. How does the temperature of air at the nose of the aircra...
Thermodynamics: An Engineering Approach
How is the hydrodynamic entry length defined for flow in a pipe? Is the entry length longer in laminar or turbu...
Fluid Mechanics: Fundamentals and Applications
Assume a telephone signal travels through a cable at two-thirds the speed of light. How long does it take the s...
Electric Circuits. (11th Edition)
Why is the study of database technology important?
Database Concepts (8th Edition)
How are relationships between tables expressed in a relational database?
Modern Database Management
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_forward4. The steel water pipe has an inner diameter of 100 mm and wall thickness 5 mm. If the flow of water within the pipe in Figure 4 is stopped due to the closing of a valve, determine the longitudinal and hoop stress developed at point A. Draw the state of stress on a volume element located on the wall A. 5 mm valve AI pressure 0.5 Mpa 50 mm Figure 4arrow_forward
- 2. The cast iron pipe is filled with concrete and subjected to a compressive force of 80 kN. Determine the average normal stress in the concrete and the iron due to this loading. The pipe has an outer diameter of 70 mm and an inner diameter of 60 mm. Eiron = 100 GPa, Ec = 24 GPa. 80 kN 500 mmarrow_forwardThe gas pipe line is supported every 20 ft by concrete piers and also lays on the ground. The gas within the pipe is at a pressure of 500 lb/in?. The pipe has an inner diameter of 10 in, and thickness of 0.25 in. The material is A-36 steel. The pipe is shown in the figure below (Figure 1). Part A If there are rigid retainers at the piers that hold the pipe fixed, determine the hoop stress in the pipe if the temperature rises 75 °F from the temperature at which it was installed. Express your answer to three significant figures and include appropriate units. ? Value Units Submit Request Answer Part B Figure < 1 of 1 Determine the longitudinal stress in the pipe. 20 ft Express your answer to three significant figures and include appropriate units. HÀarrow_forwardA cylindrical propane tank has an outside diameter of 3.25 m. If the allowable hoop stress is 100 MPa and the allowable axial or longitudinal stress is 45 MPa, determine the minimum thickness of the pipe when the internal pressure that can be applied to the tank is 1.25 MPa.arrow_forward
- The steel pipe is filled with concrete and subjected to a compressive force of 80 kN. Determine the average normal stress in the concrete and the steel due to this loading. The pipe has an outer diameter of 80 mm and an inner diameter of 70 mm. E 200 GPa, Ec= 24 GPa.arrow_forwardA cylindrical pressure vessel is fabricated from steel plating that has a thickness of 30 mm. The outer diamter and thickness of the pressure vessel is 500 mm and 10 mm. Its length is 2m. Determine the maximum internal pressure (MPa) that can be applied if the longitudinal stress is limited to 155 MPa, and the circumferencial stress is limited to 55 MPa.arrow_forwardChange the given to lamp=81 kg, AB=5mm, BC=9mmarrow_forward
- Mechanics of materials Iarrow_forwardThe inner diameter of the AB compressed air tank is 160mm, the wall thickness is 1mm.Since the manometer pressure in the tank is 1,6MPa ,at point a at the top of the tank maximum normal stress and determine the maximum plane shear stress.(c=16mm , d=38mm, e =32mm, g=160mm, h=1mm, k =1.6MPa , F=160N)arrow_forward433 The steel pipe is filled with concrete and subjected 10 a compressive force of 80 kN. Determine the averaee normal stress in the concrete and the steel due to this loading. The pipe has an outer diameter of 80 mm and oo inner diameter of 70 mm. E, = 200 GPa, E. = 24 GPa.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