Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 3.3.15P
A hollow steel shaft used in a construction auger has an outer diameter d2= 6.0 in. and inner diameter d1= 4.5 in. (see figure). The steel has a shear modulus of elasticity G = 11.0 × 106 psi.
For an applied torque of 150 kip-in., determine the following quantities:
- shear stress
at the outer surface of the shaft,
at the inner surface, and
(degrees per unit of length).Also, draw a diagram showing how the shear stresses vary in magnitude along a radial line in the cross section.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
-6-
8 من 8
Mechanical vibration
HW-prob-1
lecture 8 By: Lecturer Mohammed O. attea
The 8-lb body is released from rest a distance xo
to the right of the equilibrium position.
Determine the displacement x as a function of time t,
where t = 0 is the time of release.
c=2.5 lb-sec/ft
wwwww
k-3 lb/in.
8 lb
Prob. -2
Find the value of (c) if the system is critically
damping.
Prob-3
Find Meq and Ceq at point B, Drive eq. of
motion for the system below.
Ш
H
-7~
+
目
T T & T
тт
+
Q For the following plan of building foundation, Determine
immediate settlement at points (A) and (B) knowing that: E,-25MPa,
u=0.3, Depth of foundation (D) =1m, Depth of layer below base level
of foundation (H)=10m.
3m
2m
100kPa
A
2m
150kPa
5m
200kPa
B
W
PE
2
43
R² 80 + 10 + kr³ Ø8=0 +0
R²+J+ kr200
R² + J-) + k r² = 0
kr20
kr20
8+
W₁ =
= 0
R²+1)
R²+J+)
4
lec 8.pdf
Mechanical vibration
lecture 6
By: Lecturer Mohammed C. Attea
HW1 (Energy method)
Find equation of motion and natural frequency for the system shown in fig. by energy
method.
m. Jo
000
HW2// For the system Fig below find
1-F.B.D
2Eq.of motion
8 wn
4-0 (1)
-5-
m
Chapter 3 Solutions
Mechanics of Materials (MindTap Course List)
Ch. 3 - A circular tube is subjected to torque Tat its...Ch. 3 - -2. A plastic bar of diameter d = 56 mm is to be...Ch. 3 - A copper rod of length L = 18.0 in. is to be...Ch. 3 - A circular steel tube of length L = 1.0 m is...Ch. 3 - Solve the preceding problem if the length L = 56...Ch. 3 - A circular aluminum tube subjected to pure torsion...Ch. 3 - A solid steel bar of circular cross section has...Ch. 3 - A solid copper bar of circular cross section has...Ch. 3 - Repeat Problem 3.3-1, but now use a circular tube...Ch. 3 - A copper tube with circular cross section has...
Ch. 3 - A prospector uses a hand-powered winch (see...Ch. 3 - When drilling a hole in a table leg, a furniture...Ch. 3 - While removing a wheel to change a tire, a driver...Ch. 3 - -8 An aluminum bar of solid circular cross section...Ch. 3 - A high-strength steel drill rod used for boring a...Ch. 3 - The steel shaft of a socket wrench has a diameter...Ch. 3 - A circular tube of aluminum is subjected to...Ch. 3 - A propeller shaft for a small yacht is made of a...Ch. 3 - Three identical circular disks A, B, and Care...Ch. 3 - The steel axle of a large winch on an ocean liner...Ch. 3 - A hollow steel shaft used in a construction auger...Ch. 3 - Solve the preceding problem if the shaft has an...Ch. 3 - A vertical pole of solid, circular cross section...Ch. 3 - A vertical pole of solid, circular cross section...Ch. 3 - A solid brass bar of diameter d = 1.25 in. is...Ch. 3 - A hollow aluminum tube used in a roof structure...Ch. 3 - A circular tube of inner radius r1and outer radius...Ch. 3 - .1 A stepped shaft ABC consisting of two solid...Ch. 3 - A circular tube of outer diameter d3= 70 mm and...Ch. 3 - A stepped shaft ABCD consisting of solid circular...Ch. 3 - A solid, circular bar ABC consists of two...Ch. 3 - A hollow tube ABCDE constructed of monel metal is...Ch. 3 - A shaft with a solid, circular cross section...Ch. 3 - Prob. 3.4.7PCh. 3 - Two sections of steel drill pipe, joined by bolted...Ch. 3 - Prob. 3.4.9PCh. 3 - -10. A tapered bar AB with a solid circular cross...Ch. 3 - A tapered bar AB with a solid circular cross...Ch. 3 - The bar shown in the figure is tapered linearly...Ch. 3 - The non prismatic, cantilever circular bar shown...Ch. 3 - A uniformly tapered tube AB with a hollow circular...Ch. 3 - A uniformly tapered aluminum-alloy tube AB with a...Ch. 3 - For the thin nonprismatic steel pipe of constant...Ch. 3 - .17 A mountain-bike rider going uphill applies...Ch. 3 - A prismatic bar AB of length L and solid circular...Ch. 3 - A prismatic bar AB with a solid circular cross...Ch. 3 - A magnesium-alloy wire of diameter d = 4mm and...Ch. 3 - A nonprismatic bar ABC with a solid circular cross...Ch. 3 - -22 Two tubes (AB, BC) of the same material arc...Ch. 3 - A circular copper bar with diameter d = 3 in. is...Ch. 3 - A circular steel tube with an outer diameter of 75...Ch. 3 - A hollow aluminum shaft (see figure) has an...Ch. 3 - A hollow steel bar (G = 80 GPa ) is twisted by...Ch. 3 - A tubular bar with outside diameterd2= 4.0 in, is...Ch. 3 - A solid circular bar of diameter d = 50 mm (see...Ch. 3 - -7 A steel tube (G = 11.5 x 106 psi) has an outer...Ch. 3 - A solid circular bar of steel (G = 78 GPa)...Ch. 3 - The normal strain in the 45n direction on the...Ch. 3 - An aluminum tube has inside diameter dx= 50 mm,...Ch. 3 - -11 A solid steel bar (G = 11.8 X 106 psi ) of...Ch. 3 - A solid aluminum bar (G = 27 GPa ) of diameter d =...Ch. 3 - Two circular aluminum pipes of equal length L = 24...Ch. 3 - A generator shaft in a small hydroelectric plant...Ch. 3 - A motor drives a shaft at 12 Hz and delivers 20 kW...Ch. 3 - A motor driving a solid circular steel shaft with...Ch. 3 - Prob. 3.7.4PCh. 3 - The propeller shaft of a large ship has an outside...Ch. 3 - The drive shaft for a truck (outer diameter 60 mm...Ch. 3 - A hollow circular shaft for use in a pumping...Ch. 3 - A tubular shaft being designed for use on a...Ch. 3 - A propeller shaft of solid circular cross section...Ch. 3 - What is the maximum power that can be delivered by...Ch. 3 - A motor delivers 275 hp at 1000 rpm to the end of...Ch. 3 - Prob. 3.7.12PCh. 3 - A solid circular bar ABCD with fixed supports is...Ch. 3 - A solid circular bar A BCD with fixed supports at...Ch. 3 - A solid circular shaft AB of diameter d is fixed...Ch. 3 - A ho 1 low st e el shaft ACB of outside diameter...Ch. 3 - A stepped shaft ACB having solid circular cross...Ch. 3 - A stepped shaft ACB having solid circular cross...Ch. 3 - A stepped shaft ACE is held against rotation at...Ch. 3 - A solid circulai' aluminum bar AB is fixed at both...Ch. 3 - Two sections of steel drill pipe, joined by bolted...Ch. 3 - A circular bar AB of length L is fixed against...Ch. 3 - A circular bar AB with ends fixed against rotation...Ch. 3 - A solid steel bar of diameter d1= 25.0 mm is...Ch. 3 - A solid steel bar of diameter d1= 1.50 in. is...Ch. 3 - The composite shaft shown in the figure is...Ch. 3 - The composite shaft shown in the figure is...Ch. 3 - A steel shaft (Gs= 80 GPa) of total length L = 3.0...Ch. 3 - A uniformly tapered aluminum-ally tube AB of...Ch. 3 - Two pipes {L, = 2.5 m and L, = 1.5 m) are joined...Ch. 3 - A solid circular bar of steel (G = 1L4 × 106 psi)...Ch. 3 - A solid circular bar of copper (G = 45 GPa) with...Ch. 3 - A stepped shaft of solid circular cross sections...Ch. 3 - A stepped shaft of solid circular cross sections...Ch. 3 - A circular tube AB is fixed at one end and free at...Ch. 3 - A cantilever bar of circular cross section and...Ch. 3 - Obtain a formula for the strain energy U of the...Ch. 3 - A statically indeterminate stepped shaft ACE is...Ch. 3 - Derive a formula for the strain energy U of the...Ch. 3 - A thin-walled hollow tube AB of conical shape has...Ch. 3 - A hollow circular tube A fits over the end of a...Ch. 3 - A heavy flywheel rotating at n revolutions per...Ch. 3 - A hollow circular tube having an inside diameter...Ch. 3 - A solid circular bar having diameter d is to be...Ch. 3 - A thin-walled aluminum tube of rectangular cross...Ch. 3 - A thin-walled steel tube of rectangular cross...Ch. 3 - A square tube section has side dimension of 20 in....Ch. 3 - A thin-walled circular tube and a solid circular...Ch. 3 - A thin-walled steel tube having an elliptical...Ch. 3 - Calculate the shear stress and the angle of twist...Ch. 3 - A torque T is applied to a thin-walled tube having...Ch. 3 - Compare the angle of twist 1 for a thin-walled...Ch. 3 - A tubular aluminum bar (G = 4 × 106 psi) of square...Ch. 3 - A thin tubular shaft with a circular cross section...Ch. 3 - A thin-walled rectangular tube has uniform...Ch. 3 - A long, thin-walled tapered tube AB with a...Ch. 3 - A stepped shaft consisting of solid circular...Ch. 3 - A stepped shaft with diameters D1= 40 mm and D2=...Ch. 3 - A full quarter-circular fillet is used at the...Ch. 3 - The stepped shaft shown in the figure is required...Ch. 3 - A stepped shaft (see figure) has diameter D2= 1.5...
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
- The hose supplying the cylinder operating the bucket of a large excavator has fluid at 1000 psi flowing at 5 gpm. What is theavailable power in the line?arrow_forwardQ For the following plan of building foundation, Determine immediate settlement at points (A) and (B) knowing that: E,-25MPa, u=0.3, Depth of foundation (D) =1m, Depth of layer below base level of foundation (H)=10m. 3m 2m 100kPa A 2m 150kPa 5m 200kPa Barrow_forwardGiven the following data for crack rocker mechanism. If θ2 = 4π/3 and ω2 = 1 rad/s, Determine all possible values of ω4 and ω3 analytically. The lengths of links are a = 2, b = 8, c = 7 and d = 9 in cm.arrow_forward
- Q6] (20 Marks) Select the most suitable choice for the following statements: modo digi -1A 10 af5 1 -The copper-based alloy which is responded to age hardening is a) copper-nickel b) aluminum bronze c) copper - beryllium d) brass besincaluy 2- Highly elastic polymers may experience elongations to greater than.... b) 500% bromsia-P c) 1000%. d) 1200% 15m or -2 a)100% 3- The cooling rate of quenching the steel in saltwater will be ......the cooling rate of quenching ir c) faster than sold) none of them a) slower than 4- Adding of a) Cr b) the same as ...... Will lead to stabilize the b) Mo 10 austenite in steel. c) Nimble avolls 1d) Sized loloin nl 5- The adjacent linear chains of crosslinked polymers are joined one to another at various positic DIR... by.........bonds c) covalent noisqo gd) ionic lg 120M 6- For the ceramic with coordination number 6 the cation to anion radius ratio will be a) Van der Waals a) 0.155-0.225 a) linear b) hydrogen (b) 0.225-0.414 c) 0.414 0.732 ..polymers.…arrow_forwardExamine Notes: Attempt Six Questions Only. rever necessa , Q1] (20 Marks) Answer with true (T) or false (F), corrects the wrong phrases, and gives sho reasons for correct and corrected statements: 1- High chromium irons are basically grey cast irons alloyed with 12 to 30 % Cr. yous board-19qgo orT-1 2- The drawbacks of Al- Li alloys are their high young modulus and high density.&M 0) (0 3- Vulcanized rubbers are classified under thermoplastic polymers. 4- Diamond is a stable carbon polymorph at room temperature and atmospheric pressure. ( 5- The metallic ions of ceramic are called anions, and they are positively charged. yldgiH-S 69001(6arrow_forwardH.W 5.4 Calculate the load that will make point A move to the left by 6mm, E-228GPa. The diameters of the rods are as shown in fig. below. 2P- PA 50mm B 200mm 2P 0.9m 1.3marrow_forward
- d₁ = = Two solid cylindrical road AB and BC are welded together at B and loaded as shown. Knowing that 30mm (for AB) and d₂ 50mm (for BC), find the average normal stress in each road and the total deformation of road AB and BC. E=220GPa H.W 5.3 60kN A For the previous example calculate the value of force P so that the point A will not move, and what is the total length of road AB at that force? P◄ A 125kN 125kN 0.9m 125kN 125kN 0.9m B B 1.3m 1.3marrow_forwardClass: B Calculate the load that will make point A move to the left by 6mm, E-228GPa The cross sections of the rods are as shown in fig. below. 183 P- Solution 1.418mm 200mm 80mm 3P- 18.3 A 080mm B 200mm 3P- 0.9m إعدادات العرض 1.3m 4.061mmarrow_forwardH.W6 Determine the largest weight W that can be supported by two wires shown in Fig. P109. The stress in either wire is not to exceed 30 ksi. The cross- sectional areas of wires AB and AC are 0.4 in2 and 0.5 in2, respectively. 50° 30° Warrow_forward
- Find equation of motion and natural frequency for the system shown in fig. by energy method. H.W2// For the system Fig below find 1-F.B.D 2-Eq.of motion 8wn 4-0 (5) m. Jo marrow_forward2. Read the following Vernier caliper measurements. (The scales have been enlarged for easier reading.) The Vernier caliper is calibrated in metric units. (a) 0 1 2 3 4 5 سلسلسله (b) 1 2 3 4 5 6 سلسل (c) 1 23456 (d) 1 2 3 4 5 6 سلسلسarrow_forwardExplain why on the interval 0<x<1000 mm and 1000<x<2000mm, Mt is equal to positive 160 Nm, but at x= 0mm and x=1000mm Mt is equal to -160 Nm (negative value!). What is the reason for the sign change of Mt?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 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