Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4, Problem 6RP
The 2014-T6 aluminum rod has a diameter of 0.5 in. and is lightly attached to the rigid supports at A and B when T1 = 70°F. If the temperature becomes T2 = −10°F, and an axial force of P = 16 lb is applied to the rigid collar as shown, determine the reactions at the rigid supports A and B
R4–6
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
3.
The A-36 steel rod has a diameter of 50 mm and is
lightly attached to the rigid supports at A and
T = 80°C. If the temperature becomes T2 = 20°C and an
axial force of P = 200 kN is applied to its center, determine
the reactions at A and B.
B
-0.5 m-
0.5 m
The 2014-T6 aluminum rod has a diameter of 0.5 in. and is lightly attached to the rigid supports at A and B when T1 = 70°F. If the temperature becomes T2 = -10°F, and an axial force of P = 16 lb is applied to the rigid collar as shown,determine the reactions at the rigid supports A and B.
The 2014-T6 aluminum rod has a diameter of 0.5 in. and is lightly attached to the rigid supports at A and B when T 1 = 70°F. Determine the force P that must be applied to the collar so that, when T = 0°F, the reaction at B is zero.
Chapter 4 Solutions
Mechanics of Materials
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 - The copper shaft is subjected to the axial loads...Ch. 4.2 - The A-36 steel rod is subjected to the loading...Ch. 4.2 - The A-36 steel rod is subjected to the loading...Ch. 4.2 - The A-36 steel drill shaft of an oil well extends...
Ch. 4.2 - Prob. 8PCh. 4.2 - The post is made of Douglas fir and has a diameter...Ch. 4.2 - The post is made of Douglas fir and has a diameter...Ch. 4.2 - The coupling rod is subjected to a force of 5 kip....Ch. 4.2 - The pipe is stuck in the ground so that when it is...Ch. 4.2 - The assembly consists of three titanium...Ch. 4.2 - The assembly consists of two rigid bars that are...Ch. 4.2 - The truss consists of three members, each made...Ch. 4.2 - Solve Prob. 426 when the load P acts vertically...Ch. 4.2 - The ball is truncated at its ends and is used to...Ch. 4.5 - The column is constructed from high-strength...Ch. 4.5 - The column is constructed from high-strength...Ch. 4.5 - The A-36 steel pipe has a 6061-T6 aluminum core....Ch. 4.5 - The 304 stainless steel post A has a diameter of...Ch. 4.5 - The 304 stainless steel post A is surrounded by a...Ch. 4.5 - The 10-mm-diameter steel bolt is surrounded by a...Ch. 4.5 - The rigid beam is supported by the three suspender...Ch. 4.5 - The bolt AB has a diameter of 20 mm and passes...Ch. 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 - Prob. 55PCh. 4.5 - The three A-36 steel wires each have a diameter of...Ch. 4.5 - The A-36 steel wires AB and AD each have a...Ch. 4.5 - The assembly consists of two posts AB and CD each...Ch. 4.5 - The assembly consists of two posts AB and CD each...Ch. 4.5 - The assembly consists of two posts AB and CD each...Ch. 4.5 - The wheel is subjected to a force of 18 kN from...Ch. 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 - Prob. 72PCh. 4.6 - Prob. 77PCh. 4.6 - Prob. 80PCh. 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 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 - Prob. 89PCh. 4.9 - The A-36 steel plate has a thickness of 12 mm. If...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 - The member is to be made from a steel plate that...Ch. 4.9 - Prob. 96PCh. 4.9 - The bar has a cross-sectional area of 0.5 in2 and...Ch. 4.9 - The distributed loading is applied to the rigid...Ch. 4.9 - The distributed loading is applied to the rigid...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 - The wire BC has a diameter of 0.125 in. and the...Ch. 4.9 - Prob. 104PCh. 4.9 - Prob. 106PCh. 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
- 1-1. An L-shaped body is loaded with a concentrated load and a uniformly distributed load as illustrated in the figure. The body is supported by a fixed support at point A. Determine the reactions that the fixed support must provide for the body to be in equilibrium, Show all steps and work. A free-body diagram, drawn neatly and proportionally, is required in the solution. 1.2 m 75KN -2.25 m- 2.5 kN/m -2.25 m A Fixed supportarrow_forward4-69. Three bars each made of different materials are connected together and placed between two walls when the temperature is T₁ = 12°C. Determine the force exerted on the (rigid) supports when the temperature becomes T₂ = 18°C. The material properties and cross-sectional area of each bar are given in the figure. Steel Brass dEst = 200 GPa Ebr = 100 GPa bast=12(10-6)/°C abr 21(106)/C α = = Aut= 200 mm² Abr = 450 mm² pha2kn 300 mm- 4kn -200 mm- Prob. 4-69 Copper Ecu = 120 GPa-44 17(10-6)/°C Acu = 515 mm² 100 mmarrow_forwardThe 50-mm-diameter cylinder is made from Am 1004-T61 magnesium and is placed in the clamp when the temperature is T1 = 20° C. If the 304-stainless-steel carriage bolts of the clamp each have a diameter of 10 mm, and they hold the cylinder snug with negligible force against the rigid jaws, determine the force in the cylinder when the temperature rises to T2 = 130°C.arrow_forward
- The central bar CD of the assembly is heated from 30 ° C to 180 ° C by means of an electrical resistance. Also the two bars AB and EF are heated from 30 ° C to 50 ° C. At the lower temperature of 30 ° C, the space between C and the rigid bar is 0.7 mm. Determine the force in bars AB and EF caused by the increase in temperature. Bars AB and EF are made of steel and each has a cross-sectional area of 125 mm ^ 2; CD is aluminum with a cross-sectional area of 375 mm ^ 2. Steel = 200GP; Ealuminum = 70 GPa; alpha steel = 12 X10 ^ -6 (1 / ºC); alpha aluminum = 23 X10 ^ -6 (1 / ° C).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_forwardDetermine the components of reaction at D. Take that PP_1 = 11 kN and P_2 = 18 kN .arrow_forward
- Determine the components of reaction at E. Take that P= 5.1 kN and w = 3.6 kN/m (Figure 1) Figure 1 of 1 1.5 m -1.5 marrow_forwardThe 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.arrow_forwardP W₂ A B 7 m -6 m D W₁ C E 1244 P _wa_ Consider the structure above. The support at point A is a fixed support. Determine all support reactions. Positive reaction values are up, to the right, and counterclockwise, as is typical.arrow_forward
- The stepped rod shown in the figure is made of Al 2014-T6 aluminum alloy. At temperature T1 = 20°C, there is a gap of 0.2 mm between point A and the rigid wall. If the temperature is increased to T2-50°C and an axial compressive force of P= 20 kN is applied at point B, determine the support reactions at points A and C. 80 mm B C A 20 kN 120 mm 400 mm 600 mm 0,2 mmarrow_forwardBar AD is attached at A and C to pinned collars that can move freely on the rods but don't restrain rotation. If the cord BE is at a 30° from vertical, determine the tension in the cord and the reactions at A and C. Answers: T=69.3 N, A=140 N, C=180 N 30° B a E 30° C -0.2 m-0.2 m 0.2 m- 80 N ODarrow_forwardB 3 ft 2 ft The C86100-bronze rod AB and 6061-T6- aluminum rod BC are joined at the collar B and fixed connected at their ends. If there is no load in the members when T1 = 60°F, determine the reaction at C and the average normal stress in each member when T2 = 130°F. Also, how far will the collar be displaced (assume positive values to the right)? The diameter of rod AB is 1.45 in, and the diameter of rod BC is 0.92 in. Young's Modulus for C86100-bronze is 15000 ksi and for 6061-T6 Aluminum is 10000 ksi. The coefficient of thermal expansion for C86100-bronze is 0.0000096 / °F and for 6061-T6 Aluminum is 0.0000131 /°F. Perform all your calculations in the base Imperial Units (so not in kip, ksi, etc., but in Ib, psi, etc.), so first convert all units to base and appropriate ones.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