Mechanics of Materials-Access
9th Edition
ISBN: 9780133356120
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 4.6, Problem 4.86P
The metal strap has a thickness t and width w and is subjected to a temperature gradient T1 to T2: (T1<T2). This causes the modulus of elasticity for the material to vary linearly from E1 at the top to a smaller amount E2 at the bottom. As a result, for any vertical position y, measured from the top surface. E=[(E2−E1)/w]y+E1. Determine the position d where the axial force P must be applied so that the bar stretches uniformly over its cross section.
Prob. 4–86
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The acrylic plastic rod is 200 mm long and 15 mm in diameter. If an axial load of 300 N is applied to it, determine the change in its length and the change in its diameter. Ep = 2.70 GPa, np = 0.4.
The inner ring A has an inner radius r1 and outer radius r2. The outer ring B has an inner radius r3 and an outer radius r4, and r2 7 r3. If the outer ring is heated and then fitted over the inner ring, determine the pressure between the two rings when ring B reaches the temperature of the inner ring. The material has a modulus of elasticity of E and a coefficient of thermal expansion of a.
The force P is applied to the bar, which is made from an elastic perfectly plastic material. Construct a graph to show how the force in each section AB and BC (vertical axis) varies as P (horizontal axis) is increased. The bar has cross-sectional areas of 1 in2 in region AB and 4 in2 in region BC. Take sY = 30 ksi.
Chapter 4 Solutions
Mechanics of Materials-Access
Ch. 4.2 - In each case, determine the internal normal force...Ch. 4.2 - Determine the internal normal force between...Ch. 4.2 - The post weighs 8kN/m. Determine the internal...Ch. 4.2 - The rod is subjected to an external axial force of...Ch. 4.2 - The rigid beam supports the load of 60 kN....Ch. 4.2 - The 20-mm-diameter A-36 steel rod is subjected to...Ch. 4.2 - Segments AB and CD of the assembly are solid...Ch. 4.2 - The 30-mm-diameter A992 steel rod is subjected to...Ch. 4.2 - If the 20-mm-diameter rod is made of A-36 steel...Ch. 4.2 - The 20-mm-diameter 2014-T6 aluminum rod is...
Ch. 4.2 - The 20-mm-diameter 2014-T6 aluminum rod is...Ch. 4.2 - Prob. 4.1PCh. 4.2 - The copper shaft is subjected to the axial loads...Ch. 4.2 - The composite shaft, consisting of aluminum,...Ch. 4.2 - The composite shaft, consisting of aluminum,...Ch. 4.2 - 4-5. The assembly consists of a steel rod CB and...Ch. 4.2 - 4-6. The bar has a cross-sectional area of 3 in2,...Ch. 4.2 - 4–7. If P1 = 50 kip and P2 = 150 kip, determine...Ch. 4.2 - *4-8. If the vertical displacements of end A of...Ch. 4.2 - The assembly consists of two 10-mm diameter red...Ch. 4.2 - The assembly consists of two 10-mm diameter red...Ch. 4.2 - The load is supported by the four 304 stainless...Ch. 4.2 - The load is supported by the four 304 stainless...Ch. 4.2 - The rigid bar is supported by the pin-connected...Ch. 4.2 - Prob. 4.14PCh. 4.2 - Prob. 4.15PCh. 4.2 - *4-16. The hanger consists of three 2014-T6...Ch. 4.2 - 4-17. The hanger consists of three 2014-T6...Ch. 4.2 - Prob. 4.18PCh. 4.2 - Prob. 4.19PCh. 4.2 - The assembly consists of three titanium...Ch. 4.2 - Prob. 4.21PCh. 4.2 - Prob. 4.22PCh. 4.2 - Prob. 4.23PCh. 4.2 - Determine the relative displacement of one end of...Ch. 4.2 - Prob. 4.25PCh. 4.2 - Prob. 4.26PCh. 4.2 - 4-27. The circular bar has a variable radius of r...Ch. 4.2 - Prob. 4.28PCh. 4.2 - Prob. 4.29PCh. 4.2 - Prob. 4.30PCh. 4.5 - 4-31. The concrete column is reinforced using four...Ch. 4.5 - Prob. 4.32PCh. 4.5 - 4-33. The steel pipe is filled with concrete and...Ch. 4.5 - If column AB is made from high strength precast...Ch. 4.5 - If column AB is made from high strength precast...Ch. 4.5 - Determine the support reactions at the rigid...Ch. 4.5 - If the supports at A and C are flexible and have a...Ch. 4.5 - Prob. 4.38PCh. 4.5 - Prob. 4.39PCh. 4.5 - Prob. 4.40PCh. 4.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 4.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 4.5 - The assembly consists of two red brass C83400...Ch. 4.5 - *4-44. The assembly consists of two red brass...Ch. 4.5 - Prob. 4.45PCh. 4.5 - If the gap between C and the rigid wall at D is...Ch. 4.5 - The support consists of a solid red brass C83400...Ch. 4.5 - If there are n fibers, each having a...Ch. 4.5 - Prob. 4.49PCh. 4.5 - Prob. 4.50PCh. 4.5 - Prob. 4.51PCh. 4.5 - Prob. 4.52PCh. 4.5 - 4-53. Each of the three A-36 steel wires has the...Ch. 4.5 - 4-54. The 200-kg load is suspended from three A-36...Ch. 4.5 - The three suspender bars are made of A992 steel...Ch. 4.5 - Prob. 4.56PCh. 4.5 - 4-57. The rigid bar is originally horizontal and...Ch. 4.5 - Prob. 4.58PCh. 4.5 - 4-59. Two identical rods AB and CD each have a...Ch. 4.5 - *4-60. The assembly consists of two posts AD and...Ch. 4.5 - Prob. 4.61PCh. 4.5 - Prob. 4.62PCh. 4.5 - Prob. 4.63PCh. 4.5 - Prob. 4.64PCh. 4.5 - 4-65. Initially the A-36 bolt shank fits snugly...Ch. 4.5 - Prob. 4.66PCh. 4.5 - Prob. 4.67PCh. 4.6 - The C83400-red-brass rod AB and 2014-T6- aluminum...Ch. 4.6 - The assembly has the diameters and material...Ch. 4.6 - The rod is made of A992 steel and has a diameter...Ch. 4.6 - Prob. 4.71PCh. 4.6 - Prob. 4.72PCh. 4.6 - The pipe is made of A992 steel and is connected to...Ch. 4.6 - The bronze C86100 pipe has an inner radius of 0.5...Ch. 4.6 - The 40-ft-long A-36 steel rails on a train track...Ch. 4.6 - The device is used to measure a change in...Ch. 4.6 - The bar has a cross-sectional area A, length L,...Ch. 4.6 - When the temperature is at 30C, the A-36 steel...Ch. 4.6 - When the temperature is at 30C, the A-36 steel...Ch. 4.6 - When the temperature is at 30C, the A-36 steel...Ch. 4.6 - The 50-mm-diameter cylinder is made from Am...Ch. 4.6 - The 50-mm-diameter cylinder is made from Am...Ch. 4.6 - The wires AB and AC are made of steel, and wire AD...Ch. 4.6 - The cylinder CD of the assembly is heated from T1...Ch. 4.6 - The cylinder CD of the assembly is heated from T1=...Ch. 4.6 - The metal strap has a thickness t and width w and...Ch. 4.9 - Determine the maximum normal stress developed in...Ch. 4.9 - If the allowable normal stress for the bar is...Ch. 4.9 - The steel bar has the dimensions shown. Determine...Ch. 4.9 - 4-90. Determine the maximum axial force P that can...Ch. 4.9 - Determine the maximum axial force P that can be...Ch. 4.9 - Determine the maximum normal stress developed in...Ch. 4.9 - Prob. 4.93PCh. 4.9 - 4-94. The resulting stress distribution along...Ch. 4.9 - Prob. 4.95PCh. 4.9 - *4-96. The 10-mm-diameter shank of the steel bolt...Ch. 4.9 - The weight is suspended from steel and aluminum...Ch. 4.9 - The bar has a cross-sectional area of 0.5 in2 and...Ch. 4.9 - Prob. 4.99PCh. 4.9 - *4-100. The rigid beam is supported by a pin at A...Ch. 4.9 - The rigid lever arm is supported by two A-36 steel...Ch. 4.9 - The rigid lever arm is supported by two A-36 steel...Ch. 4.9 - Prob. 4.103PCh. 4.9 - The rigid beam is supported by three 25-mm...Ch. 4.9 - The rigid beam is supported by three 25-mm...Ch. 4.9 - Prob. 4.106PCh. 4.9 - Prob. 4.107PCh. 4.9 - The rigid beam is supported by the three posts A,...Ch. 4.9 - The rigid beam is supported by the three posts A,...Ch. 4.9 - Prob. 4.110PCh. 4.9 - The bar having a diameter of 2 in. is fixed...Ch. 4.9 - Determine the elongation of the bar in Prob.4108...Ch. 4.9 - Prob. 4.113PCh. 4 - The assembly consists of two A992 steel bolts AB...Ch. 4 - The assembly shown consists of two A992 steel...Ch. 4 - The rods each have the same 25-mm diameter and...Ch. 4 - Two A992 steel pipes, each having a...Ch. 4 - The force P is applied to the bar, which is made...Ch. 4 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 4 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 4 - The rigid link is supported by a pin at A and two...Ch. 4 - 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
- Determine the:1- Shear Strain2- Shear stress3- Friction Coefficientarrow_forwardThe 304 stainless steel post A is surrounded by a red brass C83400 tube B. Both rest on the rigid surface. If a force of 25 kN is applied to the rigid cap, determine the required diameter d of the steel post so that the load is shared equally between the post and tube. The elastic modulus for brass is 101 GPa and the elastic modulus for steel is 193 GPaarrow_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
- An acetal polymer block is fixed to the rigid plates at its top and bottom surfaces. If the top plate displaces 2 mm horizontally when it is subjected to a horizontal force P = 2 kN, determine the shear modulus of the polymer. The width of the block is 100 mm. Assume that the polymer is linearly elastic and use small-angle analysis.arrow_forwardThe 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.arrow_forwardThe pole is supported by a pin at C and an A-36 steel guy wire AB. If the wire has a diameter of 0.2 in., determine how much it stretches when a horizontal force of 2.5 kip acts on the pole.arrow_forward
- A bar has a length of 200 mm and cross-sectional area of 7500 mm2. Determine the modulus ofelasticity of the material if it is subjected to an axial tensile load of 50 kN and stretches 0.075 mm.The material has linear-elastic behavior.arrow_forwardThe load of 2000 lb is to be supported by the two vertical steel wires for which sY = 70 ksi. Originally wire AB is 60 in. long and wire AC is 60.04 in. long. Determine the force developed in each wire after the load is suspended. Each wire has a cross-sectional area of 0.02 in2. Est = 29.0(103) ksi.arrow_forwardA cylindrical pressure vessel has an inner diameter of 4 ft and a thicknessof 1 2 in. Determine the maximum internal pressure it can sustain so that neither its circumferential nor its longitudinal stress component exceeds 20 ksi. Under the same conditions, what is the maximum internal pressure that a similar-size spherical vessel can sustain?arrow_forward
- The deck of a bridge is made up of 12 mm thick steel plates 2 m long by 1·2 m wide. Under load, the plate is subject to tensile forces of 7·5 kN longitudinally and 6 kN across the width. Determine the change in the thickness of the plate under this load regime. Modulus of elasticity = 210 GN/m² and Poisson’s ratio = 0·3arrow_forwardThe spherical gas tank is fabricated by bolting together two hemispherical thin shells. If the 8-m inner diameter tank is to be designed to withstand a gauge pressure of 2 MPa, determine the minimum wall thickness of the tank and the minimum number of 25-mm diameter bolts that must be used to seal it. The tank and the bolts are made from material having an allowable normal stress of 150 MPa and 250 MPa, respectively.arrow_forwardThe cylinder CD of the assembly is heated from T1 = 30°C to T2 = 180°C using electrical resistance. Also, the two end rods AB and EF are heated from T1 = 30°C to T2 = 50°C. At the lower temperature T1 the gap between C and the rigid bar is 0.7 mm. Determine the force in rods AB and EF caused by the increase in temperature. 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, ast = 12(10-6)>°C, and aal = 23(10-6)>°C.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 PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering 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