Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840728
Author: Limbrunner
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 9, Problem 9.42SP
A 25-mm-diameter aluminum rod, 3 m long, is subjected to an axial tensile load of 67 kN. Assume a proportional limit of 207 MPa. Compute
(a) stress
(b) strain
(c) total elongation
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A rod 200 cm long and of diameter 3.0 cm is subjected to an axial pull of 30 kN. If the Young’s modulus of the material of the rod is 2 x 105 N/mm2, Calculate :(i) stress (ii) strain and (iii) the elongation of the rod.
When a thin cylinder is subjected to an internal pressure p, the tangential stress should be the criterion for determining the cylinder wall thickness. Explain.
A wire with circular base of radius 3 mm was subjected to tensile stress of 13.5 N. If half the amount of stress is to be applied to a wire with square base of 1.86 mm width, what must have been the force (in Newton) applied to this new wire?
Chapter 9 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 9 - Write the direct stress formula in its three forms...Ch. 9 - A 6-in-diameter concrete test cylinder is loaded...Ch. 9 - Determine the tensile stress in each segment of...Ch. 9 - Calculate the stress developed in the following...Ch. 9 - The following members are subjected to axial...Ch. 9 - Determine the stresses in the two segments of the...Ch. 9 - A bin weighing 8 tons is supported by three steel...Ch. 9 - Diameters of small commercially available steel...Ch. 9 - A No. 32 (metric designation) reinforcing bar for...Ch. 9 - In the bolted connection of Figure 9.12 , assume...
Ch. 9 - Compute the force required to punch a...Ch. 9 - The 34 — in. — diameter bolt shown is subjected to...Ch. 9 - Why is strain unitless (or dimensionless)?Ch. 9 - (a) Given =1.2in. and L=100ft calculate (b) Given...Ch. 9 - A short compression member 2 in. by 2 in. in cross...Ch. 9 - A 100-ft-long rod is suspended from one end. The...Ch. 9 - Compute the total elongation of a steel bar,...Ch. 9 - A steel rod 34 in. in diameter and 25 ft long is...Ch. 9 - An aluminum rod 25mm in diameter and 4m long is...Ch. 9 - A steel rod 10 ft long is made up of two 5 ft...Ch. 9 - A titanium alloy bar elongates 0.500 in. when...Ch. 9 - Write a program that will calculate the allowable...Ch. 9 - Write a program that will compute stress, strain,...Ch. 9 - The Viking Bin Company manufactures suspended bins...Ch. 9 - Write a computer program that will calculate the...Ch. 9 - The joint between a diagonal and a chord in a...Ch. 9 - In Problem 9.26, find the required length of the...Ch. 9 - A column is supported by a base plate, pedestal,...Ch. 9 - If the soil pressure under the footing of Problem...Ch. 9 - A hopper weighing 75 kN is supported by three...Ch. 9 - A steel bar has a rectangular cross section 25 mm...Ch. 9 - A steel wire is suspended vertically from its...Ch. 9 - A W1240 shape is subjected to a tensile load of...Ch. 9 - Calculate the required diameter of steel tie rods...Ch. 9 - A 30-ft-long steel rod of circular cross section...Ch. 9 - Consider the bolted lap joint shown in Figure...Ch. 9 - An inclined member is braced with a glued block,...Ch. 9 - Calculate the force a punch press must exert if it...Ch. 9 - A 34 - in. - diameter punch is used to punch a...Ch. 9 - A control arm is keyed to a 1-in. -diameter shaft...Ch. 9 - Calculate the required width b for the key of...Ch. 9 - A 25-mm-diameter aluminum rod, 3 m long, is...Ch. 9 - A short timber post of Douglas fir is subjected to...Ch. 9 - A 1 00-ft surveyor’s steel tape with a...Ch. 9 - An 18-in-long steel rod is subjected to a tensile...Ch. 9 - Compute the magnitude of the tensile load that...Ch. 9 - A 5-mm-diameter steel wire, 18 m in length, is...Ch. 9 - A structural steel rod 112 in. in diameter and 20...Ch. 9 - A rectangular structural steel eyebar 34 in. thick...Ch. 9 - 9.50 A
in. — diameter steel rod, 100 ft long, is...Ch. 9 - For the truss shown, compute the total deformation...Ch. 9 - A steel bar with a cross section of 12 in. by 12...Ch. 9 - Rework Problem 9.52 , changing the second load...Ch. 9 - In the structure shown, the tie-back BC is a round...Ch. 9 - A hook is suspended by two steel wires, as shown....Ch. 9 - The trolley of a small hoist is supported on a...Ch. 9 - The steel piston rod to the master cylinder has a...Ch. 9 - A stranded steel brake cable is composed of 7...Ch. 9 - The piston of a steam engine is 400 mm in diameter...
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 bar of a steel alloy is subjected to a tensile load; the specimen is 370 mm long and of square cross section 5.3 mm on a side.a) If the stress is 1250 MPa, compute the magnitude of the load necessary to produce an elongation of 2.22mm. b) What will be the deformation after the load has been released?arrow_forwardA plastic bar of 53 mm is to be twisted by torques T until the angle of rotation between the ends of the bars is 9 degree. If the allowable shear strain in the plastic is 0.018 radian, what is the minimum permissible length of the bar in mm?arrow_forwardTwo joules of strain energy is suddenly induced in a 200 mm long aluminum bar with a 40 mm square cross section, by a compressive load. Calculate the maximum instantaneous stress induced in the bar and magnitude of the suddenly applied load (E = 80 GPa)arrow_forward
- A 5-m high aluminum cylinder must support a load of 450 kN. If the maximum allowable stress is 0.14 GPa and the minimum radius of the cylinder to support the load is 32mm , by what percentage will the length of this cylinder be reduced? Compare the result with steel. (E.L.Steel=24 GPa).arrow_forwardA steel rod of length 10 m is subjected to a axial load of 10 kN. Calculate the elongation of the rod when its diameter is 40 mm.arrow_forwardA steel rod is subjected to a force of 5 kN. The initial length of the rod is 690 mm and after elongation its length is equal to 700 mm. Estimate engineering and true strain.arrow_forward
- (a) A 25 mm diameter bar is subjected to an axial tensile load of 100KN. Under the action of this load a 200 mm gauge length is found to extend 0.19 x 10-mm. Determine the modulus of elasticity for the bar material. (b) If, in order to reduce weight whilst keeping the external diameter constant, the bar is bored axially to produce a cylinder of uniform thickness, what is the maximum diameter of bore possible given that the maximum allowable stress is 240 MN/mo? The load can be assumed to remain constant at 100kN. (c) What will be the change in the outside diameter of the bar under the limiting stress quoted in (b)? (E = 210 GN/m2 and 1 = 0.3).arrow_forwardCalculate the percentage elongation of a steel rod, when it is subjected to an axial pulling force of 50 KN. Whose diameter is 30 mm, its Original length is 2.9 m and the Final length is 9.7 m. Take E= 200 X 10^9 N/m^2.arrow_forwardA rod is subjected to a uni-axial load within linear elastic limit. When the change in the stress is 200 MPa, the change in the strain is 0.001. If the Poisson's ratio of the rod is 0.3, calculate the modulus of rigidity.arrow_forward
- A wire with a Young’s Modulus, E, of 8.5 x 106 N/m2 and an original length of 1.5 mis under tension. If the wire length extension is 2.5 mm, calculate the stress in thewire. Give your answer in N/m2to 2 decimal places.arrow_forwardA constant wind blowing against the side of this chimney has caused creeping strains in the mortar joints, such that the chimney has a noticeable deformation. Explain how to obtain the stress distribution over a section at the base of the chimney, and sketch this distribution over the section.arrow_forwardA metal bar 5.0 m long extends by 0.05 mm when a tensile load is applied to it. The percentage strain is:arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
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