EBK STATICS AND MECHANICS OF MATERIALS
5th Edition
ISBN: 8220102955295
Author: HIBBELER
Publisher: PEARSON
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Chapter 8.4, Problem 9P
To determine
Find the elongation of the bar.
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Question 1.2
Miet
anouP OF INETmToa
A hollow right circular cylinder is made of cast iron and
has a outside diameter of 75 mm and an inside
diameter of 60 mm. The cylinder measures 600 mm in
length and is subjected to axial compressive load of
50KN.Determine normal stress and shortening in length
of the cylinder under this load. Take the modulus of
elasticity of cast iron to be 100 GPa.
12011
Ans: o = 31.45 N/mm2, dl = 0.1887 mm
0.9mm
To Smcd
A composite rod of overall length of 200 mm comprised of a steel rod and brass rod attached rigidly to the end. The diameter and the length of the steel rod are given as 10 mm and 120 mm,respectively, the diameter and the length of the brass rod as 20 mm and 80 mm respectively. The rod is used as a tie in a link mechanism and the strain in the brass rod is limited to 0,00053. Given that the total extension of the composite rod must not exceed 0,1624 mm and E for steel is 200 GPa, respectively.
Determine :
A) Strain in the steel rod
B) Load carried by the steel and brass rods
C) Modulus of elasticity for the brass
4.
The rigid lever arm is supported by two A-36 steel
wires having the same diameter of 4 mm. If a force of
P = 3 kN is applied to the handle, determine the force
developed in both wires and their corresponding elongations.
Consider A-36 steel as an elastic-perfectly plastic material.
450 mm
150 mm
150 mm
30
A
300 mm
B.
D
Chapter 8 Solutions
EBK STATICS AND MECHANICS OF MATERIALS
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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- Nylon strips are fused to glass plates. When moderately heated the nylon will become soft while the glass stays approximately rigid. Determine the average shear strain in the nylon due to the load P when the assembly deforms as indicated. 2 mm P. 3 mm 5 mm 3 mm 5 mm 3 mmarrow_forwardThe bar ABC is supported by a pin at A and a steel wire at B. Determine the magnitudeof force Pinlbif the elongation of the wire is 0.059 in. The cross-sectional area of the wire is 0.0039 inandthemodulus of elasticity of steel is 29001 ksi,X=3.86 ft, Y = 6.78 ft, and L = 5.6 ft. Express the final answer to four decimal places. ... B Yarrow_forwardDetermine the elongation of an aluminium hollow cylinder of an inner diameter of 1.45 cm & the external diameter of 24.7 mm is subjected to an elastic tensile load of 251 kN. Take the elastic modulus of the aluminum specimen as 71 GPa and the initial length of the hollow cylinder as 198 mm. Solution: Cross-sectional Area (in mm2) = Stress-induced (in N/mm2) = Strain-induced (at least 3 decimal places accuracy)= Elongation (in mm) =arrow_forward
- Question 53 What is the elongation of the aluminum bar with a dimension of 25 mm by 25 mm and length of 1m when compressed to its yield point? Note E = 70 GPa and yield stress of 45 MPa. Neglect the weight of the bar. O 0.429 mm O 0.643 mm O - 0.429 mm O - 0.643 mmarrow_forward1-Determine the elongation of the steel bar 1m long and 1.5 cm cross-sectional area when subjected to a pull of 1500 kg. Take E=2*10 kg/cm ?arrow_forwardThe material for the 50-mm-long specimen has the stress-strain diagram shown. If P = 100 kN, determine the elongation of the specimen.arrow_forward
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