Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 8.6, Problem 13FP
A 100 mm long rod has a diameter of 15 mm. If an axial tensile load of 10 kN is applied to it. determine the change in its diameter. E = 70 GPa. v = 0.35.
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The pin-connected assembly consists of aluminum rods (1) and (2) and steel rod (3). The aluminum rods each have a diameter of 14 mm
and an elastic modulus of E = 70 GPa. The steel rod has a diameter of 15 mm and an elastic modulus of E= 180 GPa. Assume a = 3.0 m, b
= 1.6 m, and c = 1.0 m. What is the magnitude of load P that is necessary to displace point A 7mm to the left?
A
Answer: P = i
(3)
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b
D
kN
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The pin-connected assembly consists of aluminum rods (1) and (2) and steel rod (3). The aluminum rods each have a diameter of 14 mm
and an elastic modulus of E = 70 GPa. The steel rod has a diameter of 15 mm and an elastic modulus of E= 180 GPa. Assume a = 3.0 m, b
= 1.6 m, and c = 1.0 m. What is the magnitude of load P that is necessary to displace point A 7 mm to the left?
A
Answer: P = i
(3)
eTextbook and Media
Save for Later
B
b
D
kN
Attempts: 0 of 5 used Submit Answer
A 100-mm-long rod has a diameter of 15 mm. If an axial tensile load of 100 kN is applied, determine its change in length. Assume linear elastic behavior with E = 200 GPa.
Chapter 8 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 8.4 - Define a homogeneous material.Ch. 8.4 - Prob. 2FPCh. 8.4 - Prob. 3FPCh. 8.4 - Prob. 4FPCh. 8.4 - Prob. 5FPCh. 8.4 - As the temperature increases the modulus of...Ch. 8.4 - Prob. 7FPCh. 8.4 - Prob. 8FPCh. 8.4 - Prob. 9FPCh. 8.4 - Prob. 10FP
Ch. 8.4 - The material for the 50-mm-long specimen has the...Ch. 8.4 - If the elongation of wire BC is 0.2 mm after the...Ch. 8.4 - A tension test was performed on a steel specimen...Ch. 8.4 - Data taken from a stressstrain test for a ceramic...Ch. 8.4 - Data taken from a stressstrain test for a ceramic...Ch. 8.4 - Prob. 4PCh. 8.4 - The stress-strain diagram for a steel alloy having...Ch. 8.4 - Prob. 6PCh. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - Prob. 9PCh. 8.4 - The stressstrain diagram for an aluminum alloy...Ch. 8.4 - The stressstrain diagram for an aluminum alloy...Ch. 8.4 - Prob. 12PCh. 8.4 - A bar having a length of 5 in. and cross-sectional...Ch. 8.4 - The rigid pipe is supported by a pin at A and an...Ch. 8.4 - The rigid pipe is supported by a pin at A and an...Ch. 8.4 - Prob. 16PCh. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - Prob. 18PCh. 8.4 - Prob. 19PCh. 8.6 - A 100 mm long rod has a diameter of 15 mm. If an...Ch. 8.6 - A solid circular rod that is 600 mm long and 20 mm...Ch. 8.6 - Prob. 15FPCh. 8.6 - Prob. 16FPCh. 8.6 - The acrylic plastic rod is 200 mm long and 15 mm...Ch. 8.6 - The plug has a diameter of 30 mm and fits within a...Ch. 8.6 - The elastic portion of the stress-strain diagram...Ch. 8.6 - The elastic portion of the stress-strain diagram...Ch. 8.6 - The brake pads for a bicycle tire arc made of...Ch. 8.6 - The lap joint is connected together using a 1.25...Ch. 8.6 - The lap joint is connected together using a 1.25...Ch. 8.6 - Prob. 27PCh. 8.6 - The shear stress-strain diagram for an alloy is...Ch. 8.6 - Prob. 29PCh. 8 - The elastic portion of the tension stress-strain...Ch. 8 - Prob. 2RPCh. 8 - Prob. 3RPCh. 8 - Prob. 4RPCh. 8 - Prob. 5RPCh. 8 - Prob. 6RPCh. 8 - The stress-strain diagram for polyethylene, which...Ch. 8 - The pipe with two rigid caps attached to its ends...Ch. 8 - Prob. 9RPCh. 8 - Prob. 10RP
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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. 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. Material parameters are Ep = 2.70 GPa and vp = 0.4. 300 N 200 mm 300 Narrow_forwardA 100-mm long rod has a diameter of 15 mm. If an axial tensile load of 165 kN is applied, determine its change in length. Assume linear-elastic behavior with E = 200 GPa.arrow_forwardA 25 mm square-cross-section bar of length 300 mm carries an axial compressive load of 50 kN. Determine the stress set up in the bar and its change of length when the load is applied. For the bar material E = 200 MPaarrow_forward
- sectional area of Arod = 0.75 in². If a load of P = 24 kip is applied to the end of rod, determine the required stiffness of the spring so that the displacement of end A is 0.43 inches. Express your answer in kip/in, to the nearest whole number.arrow_forwardA 75 mm diameter compound bar is constructed by shrinking a circular brass bush onto the outside of a 50 mm diameter solid steel rod. If the compound bar is then subjected to an axial compressive load of 160 kN determine the load carried by the steel rod and the brass bush and the compressive stress set up in each material. For steel, E = 210 GN/m2; for brass, £ = 100 GN/m2arrow_forwardA 100-mmmm long rod has a diameter of 15 mmmm. If an axial tensile load of 145 kNkN is applied, determine its change in length. Assume linear-elastic behavior with E� = 200 GPaGPa.arrow_forward
- Need asap A round brass rod 30 mm in diameter and 200 mm long is subjected to a compressive force of 100 kN. If μ = 0.33 and E = 105 GPa. Determine the change in diameter. In mm. Thanksarrow_forward5. Determine the greatest load P the frame will support without causing the A-36 steel member BC to buckle. Due to the forked ends on the member, consider the supports at B and C to act as pins for x-x axis buckling and as fixed supports for y-y axis buckling. Given E = 200 Gpa. -1.2 m- -1.2 m- 0.9 m 75 mm 25 mm Figure 5arrow_forwardThe stress–strain diagram for a material can be approximated by the two line segments shown. If a bar having a diameter of 80 mm and a length of 1.5 m is made from this material, determine the critical load provided one end is pinned and the other is fixed. Assume that the load acts through the axis of the bar. Use Engesser’s equation.arrow_forward
- A column of intermediate length buckles when the compressive stress is 40 ksi. If the slenderness ratio is 60, determine the tangent modulus.arrow_forwardIf the allowable tensile stress for the bar is 1st2allow = 21 ksi, and the allowable shear stress for the pin is tallow = 12 ksi, determine the diameter of the pin so that the load P will be a maximum. What is this load? Assumethe hole in the bar has the same diameter d as the pin. Take t = 1 4 in. and w = 2 in.arrow_forwardThe hanger is supported using the rectangular pin. Determine the magnitude of the allowable suspended load P if the allowable bearing stress is (sb)allow = 220 MPa, the allowable tensile stress is (st)allow = 150 MPa, and the allowable shear stress is tallow = 130 MPa. Take t = 6 mm, a = 5 mm and b = 25 mm.arrow_forward
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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