Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 11, Problem 11.37SP
The steel rails of a railroad track are laid in the winter at a temperature of
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A 40 mm diameter aluminum cylinder and 20 mm diameter steel cylinder are
positioned snugly between two rigid walls. The temperature is then raised by
30°C. What will be the magnitude of the stress in the aluminum cylinder?
Answer in MPa rounded-off to 2 decimal places.
Al : E = 72 GPa; a = 22.5 x 10-6/°C L= 80 mm
Steel: E = 210 GPa; a = 12 x 10-6/°C L = 200 mm
Aluminum
Steel
The steel rails of a railroad track are laid in the winter at a temperature of 15 degrees fahrenheit with gaps of 0.01 feet between the ends of the rails. Each rail is 33 feet long. At what temperature will the rails touch end to end? What stress will result in the rails if the temperature rises to 110 degrees fahrenheit?
Answer: 9,434.1 psi.
I'm not sure how to come up with this answer. Could you help me work this problem out step by step please?
A 40 mm diameter aluminum cylinder and 20 mm diameter steel cylinder are
positioned snugly between two rigid walls. The temperature is then raised by
30°C. What will be the stress in the aluminum cylinder? Answer in MPa
rounded-off to 2 decimal places.
Al : E = 72 GPa; a = 22.5 x 10-6/°C L= 80 mm
Steel: E = 210 GPa; a = 12 x 10-6/°C L = 200 mm
Aluminum
Steel
Chapter 11 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 11 - Prob. 11.1PCh. 11 - A rectangular ASTM A36 steel bar 2 in. by 6 in. in...Ch. 11 - Calculate Poisson’s ratio for a cast iron that has...Ch. 11 - Modulus of elasticity, modulus of rigidity, and...Ch. 11 - Compute all the dimensional changes for the steel...Ch. 11 - A surveyor’s steel tape is exactly 100ft long...Ch. 11 - An aluminum wire is stretched between two rigid...Ch. 11 - Prob. 11.8PCh. 11 - A concrete roadway pavement is placed in 60ftlong...Ch. 11 - Prob. 11.10P
Ch. 11 - A 4in. -by- 8in . short wood post is reinforced on...Ch. 11 - A short post. 150mm by 150mm , of Douglas fir, is...Ch. 11 - The cables of a power line are copper-coated steel...Ch. 11 - Prob. 11.14PCh. 11 - For the short column shown, assuming that lateral...Ch. 11 - A 1.0 -in.-diameter hole is drilled on the...Ch. 11 - Prob. 11.17PCh. 11 - A long, flat steel bar 4 in. wide and 38 thick is...Ch. 11 - A long, flat steel bar 5 in. wide and 38 thick has...Ch. 11 - 11.20 An aluminum specimen of circular cross...Ch. 11 - Prob. 11.21PCh. 11 - Prob. 11.22PCh. 11 - 11.23 A concrete cylinder, -in, in diameter, was...Ch. 11 - Prob. 11.24PCh. 11 - For the element of Problem 11.24: a. Locate the...Ch. 11 - Prob. 11.26CPCh. 11 - Prob. 11.27CPCh. 11 - Prob. 11.28CPCh. 11 - Prob. 11.29CPCh. 11 - A 50 -mm-diameter ASTM A36 steel rod is subjected...Ch. 11 - A 4 -ft-long square ASTM A36 steel bar, 2 in. by 2...Ch. 11 - A concrete test cylinder is 150 mm in diameter and...Ch. 11 - A 14 -in.-long steel rod, 112 in diameter, was...Ch. 11 - Determine the change in the diameter of an ASTM...Ch. 11 - 11.35 The steel bar shown in Figure 11.3 (see...Ch. 11 - Compute the change in the thickness of the ASTM...Ch. 11 - The steel rails of a railroad track are laid in...Ch. 11 - A rolled brass rod and a steel rod are secured to...Ch. 11 - 11.39 A -m-long steel member is set snugly between...Ch. 11 - 11.40 The distance between two fixed points on a...Ch. 11 - A steel truss is loaded as shown. The...Ch. 11 - 11.42 For the truss of Problem 5.25, the members...Ch. 11 - A surveyor’s steel tape has a cross-sectional area...Ch. 11 - A 1 -in.-diameter ASTM A36 steel tie rod, 30 ft...Ch. 11 - 11.45 A copper wire is held taut between two...Ch. 11 - 11.46 A horizontal steel member is anchored at...Ch. 11 - 11.47 Three vertical steel wires are loaded as...Ch. 11 - 11.48 Assume for Problem 11.47 that the same load...Ch. 11 - The rod shown is firmly attached to rigid...Ch. 11 - 11.50 A structural steel bar mm in width and mm...Ch. 11 - A redwood timber member having a 16 -in.-square...Ch. 11 - A steel pipe has an outside diameter of 12 in. and...Ch. 11 - A short 14 -in.-square concrete pier is reinforced...Ch. 11 - An ASTM A36 steel rod, 375.06 mm long and having a...Ch. 11 - An aluminum rod with an area of 1.5in.2 and an...Ch. 11 - A solid brass cylinder with a cross-sectional area...Ch. 11 - Three 14 in.-diameter wires are symmetrically...Ch. 11 - Rework Problem 11.57 with outer wires of aluminum,...Ch. 11 - Three rods support a weight, as shown. The...Ch. 11 - A flat steel bar 4 in. wide and 12 thick must be...Ch. 11 - A 19 -mm-diameter hole is drilled on the...Ch. 11 - A flat bar is 38 thick and has a centrally located...Ch. 11 - A long, flat steel bar 125 mm wide and 10 mm thick...Ch. 11 - 11.64 A short -in.-diameter compression member is...Ch. 11 - Prob. 11.65SPCh. 11 - 11.66 A rectangular block of wood, in. by in. in...Ch. 11 - 11.67 A -mm-diameter rod is subjected to an axial...Ch. 11 - The rectangular plate shown is subjected to a...Ch. 11 - A wood block, subjected to a tensile load, fails...Ch. 11 - Prob. 11.70SPCh. 11 - A shaft in a speed-reduction mechanism is loaded...Ch. 11 - An axially loaded 50 -mm-by- 75 -mm steel bar has...
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
- A steel rod with a cross-sectional area of 150 mm² is stretched between two fixed points. The tensile load at 20°C is 7488 N. At what temperature will the stress be zero?arrow_forwardThe bar shown in diagram is subjected to a tensile load of 150 kN. If the stress in the middle portion is limited to 160 N/mm2, determine the diameter of the middle portion. Find also the length of the middle portion if the total elongation of the bar is to be 0.25 cm. Young's modulus is given as equal to 2.0 × 105 N/mm2. 150 KN ➜ 10 cm DIA 45 cm 10 cm DIA 150 KNarrow_forwardA metal block of cross-section area A and length L is subject to a tensile stress of S. The block elongates by a length of 0.002L. Another block made from the same metal is subject to the same tensile stress. If this block has a cross-section area of 2A and a length of 2L, determine the elongation of the block.arrow_forward
- An engineering machine component operating in a high temperature environment consists of a copper pipe having a cross-sectional area of 2 000 mm2 and 0.3 m long, which is placed between two rigid caps. Four M22 steel bolts are symmetrically arranged around the tube and parallel to the axis of the tube and are lightly tightened. 3.1 Find the stress in the pipe and the bolts if the temperature of the assembly is increased from 25 0C to 95 0C. 3.2 What load will each bolt carry at the raised temperature? 3.3 Make a neat sketch of the assembly. (ESt = 200 GPa, ECu = 100 GPa, αSt = 12 × 10-6/ oC, αCu = 16 × 10-6/ oC)arrow_forwardWhat is the stress in a rectangular rod that is 20 mm by 30 mm in cross-section if is supporting a load of 1000 N? Express your answer in N/m2, Mpa, and psi.arrow_forwardCalculate the combined stress (MPa) on the rod shown below using the principle stress method. Here, F1 = 0.35 kN, F2 = 0.12 kN, T = 428000 N-mm. Length and diameter of the rod are 75 cm and 75 mm, respectively. F2 F1 darrow_forward
- A metal block of cross-section area A and length L is subject to a tensile stress of S. The block elongates by a length of 0.001L. Another block made from the same metal is subject to the same tensile stress. If this block has a cross-section area of 2A and a length of L, determine the elongation of the block.arrow_forwardA rigid horizontal bar ABC is supported by three vertical rods as shown. The system is stress free before the load is applied. After the load P is applied, the temperature of all three rods is raised by 110°F. Determine the magnitude of the normal stress in rod (1). Answer in MPa rounded-off to 2 decimal places. Rod (1) : E = 105 GPa; a= 22.0 x 10-5/°C A=500 mm² Rod (2): E = 200 GPa; a = 11.7 x 10-6/°C A=250 mm² 2,100 mm 4,400 mm (1) (2) B (2) P= 45 KN 2,100 mm Iarrow_forwardA metal rod is fixed at both supports, calculate the induced thermal strain, if the original temperature is 9.40 °C and final temperature is 32.87 °C. Let the coefficient of thermal expansivity is 0.069 /°C. (answer in to 4 decimal places)arrow_forward
- A weight of 300 N is suspended below a horizontal beam by means of two wires at angles of 30 ° and 45 ° to the horizontal as shown below. The Young's modulus of the both wires is E=200,000 MN/m². The cross sectional area of the left wire is 40mm2 while for the right wire it is 50mm². Select the correct answer for the direct stress in the left wire. Give your answer in N/mm2 to three decimal places. Assume tension to be positive and compression negative. 30° 45° (Not to scale) 2m 300 N O 6.725 O 5.490 O 4.392 O 5.380arrow_forwardA 0.1-in wire that is 10-in long and supports a 100-lb weight stretches a total of 0.1-in. What is the strain for the wire?arrow_forwardIn this figure is a strut and a cable which was used to lift a body, if the strut and a cable has a stress equivalent to your SN and MN in kips respectively, determine the maximum weight of that body. Neglect the weight of wood and cable. Note: Round off your answer in two decimal places. ... Cable (A = 0.5 in 2) 9 ft C B 12 ft Weight A Wood Strut ( A 16 in 2)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 About COMBINED LOADING in 10 Minutes! Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=N-PlI900hSg;License: Standard youtube license