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 3.7, Problem 3.26P
The plug has a diameter of 30 mm and fits within a rigid sleeve having an inner diameter of 32 mm. Both the plug and the sleeve are 50 mm long Determine the axial pressure p that must be applied to the top of the plug to cause it to contact the sides of the sleeve. Also, how far must the plug be compressed downward in order to do this? The plug is made from a material for which E = 5 MPa, v = 0.45.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
8-23. The plug has a diameter of 30 mm and fits within a
rigid sleeve having an inner diameter of 32 mm. Both the
plug and the sleeve are 50 mm long. Determine the axial
pressure p that must be applied to the top of the plug to
cause it to contact the sides of the sleeve. Alsa, how far must
the plug be compressed downward in order to do this? The
plug is made from a material for which E-5 MPa, v -0.45.
If the bolt length is 220 mmmm and the sleeve length is 200 mmmm, determine the tension in the bolt when a force of 50 kNkN is applied to the brackets.
Express your answer to three significant figures and include appropriate units.
Given: The bolt AB in (Figure 1) has a diameter of 21 mmmm and passes through a sleeve that has an inner diameter of 42 mmmm and an outer diameter of 52 mmmm. The bolt and sleeve are made of A-36 steel and are secured to the rigid brackets as shown.
The plastic 50-mm diameter rod is placed in a 51-mm-diameter hole with rigid walls. Determine the change in the length of the rod after the 8 kN load is applied. Use E = 40 MPa and v=0.45 for the rod.
Chapter 3 Solutions
Mechanics of Materials (10th Edition)
Ch. 3.4 - Define a homogeneous material.Ch. 3.4 - Indicate the points on the stress-strain diagram...Ch. 3.4 - Define the modulus of elasticity E.Ch. 3.4 - At room temperature, mild steel is a ductile...Ch. 3.4 - Engineering stress and strain are calculated using...Ch. 3.4 - As the temperature increases the modulus of...Ch. 3.4 - A 100-mm-long rod has a diameter of 15 mm. If an...Ch. 3.4 - A bar has a length of 8 in. and cross-sectional...Ch. 3.4 - A 10-mm-diameter rod has a modulus of elasticity...Ch. 3.4 - The material for the 50-mm-long specimen has the...
Ch. 3.4 - The material for the 50-mm-long specimen has the...Ch. 3.4 - If the elongation of wire BC is 0.2 mm after the...Ch. 3.4 - A tension test was performed on a steel specimen...Ch. 3.4 - Data taken from a stress-strain test for a ceramic...Ch. 3.4 - Data taken from a stress-strain test for a ceramic...Ch. 3.4 - The stress-strain diagram for a steel alloy having...Ch. 3.4 - The stress-strain diagram for a steel alloy having...Ch. 3.4 - The stress-strain diagram for a steel alloy having...Ch. 3.4 - The rigid beam is supported by a pin at C and an...Ch. 3.4 - The rigid beam is supported by a pin at C and an...Ch. 3.4 - Acetal plastic has a stress-strain diagram as...Ch. 3.4 - The stress-strain diagram for an aluminum alloy...Ch. 3.4 - The stress-strain diagram for an aluminum alloy...Ch. 3.4 - The stress-strain diagram for an aluminum alloy...Ch. 3.4 - A bar having a length of 5 in. and cross-sectional...Ch. 3.4 - The rigid pipe is supported by a pin at A and an...Ch. 3.4 - The rigid pipe is supported by a pin at A and an...Ch. 3.4 - Direct tension indicators are sometimes used...Ch. 3.4 - The rigid beam is supported by a pin at C and an...Ch. 3.4 - The rigid beam is supported by a pin at C and an...Ch. 3.4 - The stress-strain diagram for a bone is shown, and...Ch. 3.4 - The stress-strain diagram for a bone is shown and...Ch. 3.4 - The two bars are made of a material that has the...Ch. 3.4 - The two bars are made of a material that has the...Ch. 3.4 - The pole is supported by a pin at C and an A-36...Ch. 3.4 - The bar DA is rigid and is originally held in the...Ch. 3.7 - A 100-mm-long rod has a diameter of 15 mm. If an...Ch. 3.7 - A solid circular rod that is 600 mm long and 20 mm...Ch. 3.7 - A 20-mm-wide block is firmly bonded to rigid...Ch. 3.7 - A 20-mm-wide block is bonded to rigid plates at...Ch. 3.7 - The acrylic plastic rod is 200 mm long and 15 mm...Ch. 3.7 - The plug has a diameter of 30 mm and fits within a...Ch. 3.7 - The elastic portion of the stress-strain diagram...Ch. 3.7 - The elastic portion of the stress-strain diagram...Ch. 3.7 - The brake pads for a bicycle tire are made of...Ch. 3.7 - The lap joint is connected together using a 1.25...Ch. 3.7 - The lap joint is connected together using a 1.25...Ch. 3.7 - The rubber block is subjected to an elongation of...Ch. 3.7 - The shear stress-strain diagram for an alloy is...Ch. 3.7 - A shear spring is made from two blocks of rubber,...Ch. 3 - The elastic portion of the tension stress-strain...Ch. 3 - The elastic portion of the tension stress-strain...Ch. 3 - The rigid beam rests in the horizontal position on...Ch. 3 - The wires each have a diameter of 12 in., length...Ch. 3 - The wires each have a diameter of 12 in., length...Ch. 3 - diameter steel bolts. If the clamping force in...Ch. 3 - The stress-strain diagram for polyethylene, which...Ch. 3 - The pipe with two rigid caps attached to its ends...Ch. 3 - The 8-mm-diameter bolt is made of an aluminum...Ch. 3 - An acetal polymer block is fixed to the rigid...
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
- An A-36-steel hoop has an inner diameter of 23.99 in., a thickness of 0.25 in., and a width of 1 in. If it and the 24-in.-diameter A rigid cylinder has a temperature of 65° F, determine the temperature to which the hoop should be heated in order for it to just slip over the cylinder. What is the pressure the hoop exerts on the cylinder, and the tensile stress in the ring when it cools back down to 65° F?arrow_forwardA steel bar 300 mm long, 50 mm wide and 40 mm thick is subjected to a pull of 300 kN in the direction of length. Determine the change in volume. Take E = 2x105 N/mm2and μ= 0.25.arrow_forward: The cylindrical pressure vessel with hemispherical end-caps is made of steel. The vessel has a uniform thickness of 0.44mm and an outer diameter of 9.768mm. When the vessel is pressurized to 0.088 MPa, determine the change in the overall length of the vessel. Use E = 200 GPa and µ = 0.3 for steel. Neglect localized bending.R=22arrow_forward
- 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= _O Submit μA Value Request Answer 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 Request Answer ? Units ?arrow_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 boiler with an outside diameter of 300 mm, length of 1000 mm and a wall thickness of 10 mm is carrying steam at 4.5 MPa. A seal is inserted between the flange at one end of the boiler and a flat plate is used to cap the end. Determine the following: How many 40-mm-diameter bolts must be used to hold the cap on if the allowable stress 3.1 in the bolts is 80 MPa, of which 50 MPa is the initial stress? 3.2 What circumferential stress is developed in the boiler? 3.arrow_forward
- The aluminum cube (600x600x600 mm) is put inside a hole of a rigid boundary as shown below. Initially, there is a gap of 0.2 mm between the cube and the rigid boundary. Determine the new dimensions of the cube if a stress of 100 MPa is applied on the top face of the cube and the temperature of the cube increased by 35°C. For aluminum: Ea=73 GPa, va-0.35, aai = 23*10C y. o=100 MPa Rigid boundary Rigid boundary Aluminum cube 600 mm- 0.2 mmarrow_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_forwardThe object (W = 1000 lb) is moving between positions G and H back and forth repeatedly. The bar AD is made of steel with assumed property Sy = 80 ksi, Sn= 20 ksi. Determine the required diameter of the bar based on Soderberg criterion and N = 2. 3 ft l' -2 ft 3 ft- DGB 4 ft W 444 Harrow_forward
- The gas storage tank is fabricated by bolting together two half cylindrical thin shells and two hemispherical shells as shown. If the tank is designed to withstand a pressure of 3 MPa, determine the required minimum thickness of the cylinder and hemispherical shells and the minimum required number of bolts for each hemispherical cap. 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.arrow_forwardThe 10-mm-diameter bolt is made of an aluminum alloy. It fits through a magnesium sleeve that has an inner diameter of 15 mm and an outer diameter of 25 mm. The original lengths of the bolt and sleeve are 80 mm and 50 mm, respectively. If after the nut on the bolt is tightened the tension in the bolt is 10 kN, determine the change of volume of the bolt and the new length of the sleeve. Wherein both materials behave linearly elastic. Assume the material at A is rigid. E = 68.9 GPa, Emg = 44.6 GPa, Ga = 26 GPa, Gmg = 18 GPa.arrow_forwardThe 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.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
EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY