Bundle: Mechanics Of Materials, Loose-leaf Version, 9th + Mindtap Engineering, 2 Terms (12 Months) Printed Access Card
9th Edition
ISBN: 9781337594301
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
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Chapter 1, Problem 1.3.17P
A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in.
(a) Find reaction torque TAat support A.
(b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).
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Exercises
Find the solution of the following Differential Equations
1) y" + y = 3x²
3)
"+2y+3y=27x
5) y"+y=6sin(x)
7) y"+4y+4y = 18 cosh(x)
9) (4)-5y"+4y = 10 cos(x)
11) y"+y=x²+x
13) y"-2y+y=e*
15) y+2y"-y'-2y=1-4x³
2) y"+2y' + y = x²
4) "+y=-30 sin(4x)
6) y"+4y+3y=sin(x)+2 cos(x)
8) y"-2y+2y= 2e* cos(x)
10) y+y-2y=3e*
12) y"-y=e*
14) y"+y+y=x+4x³ +12x²
16) y"-2y+2y=2e* cos(x)
The state of stress at a point is σ = -4.00 kpsi, σy = 16.00 kpsi, σ = -14.00 kpsi, Try = 11.00 kpsi,
Tyz = 8.000 kpsi, and T = -14.00 kpsi.
Determine the principal stresses.
The principal normal stress σ₁ is determined to be [
The principal normal stress σ2 is determined to be [
The principal normal stress σ3 is determined to be
kpsi.
kpsi.
The principal shear stress 71/2 is determined to be [
The principal shear stress 7½ is determined to be [
The principal shear stress T₁/, is determined to be [
kpsi.
kpsi.
kpsi.
kpsi.
Chapter 1 Solutions
Bundle: Mechanics Of Materials, Loose-leaf Version, 9th + Mindtap Engineering, 2 Terms (12 Months) Printed Access Card
Ch. 1 - Find support reactions at A and B and then...Ch. 1 - Find support reactions at A and B and then...Ch. 1 - Segments AB and BC of beam ABC are pin connected a...Ch. 1 - Segments A B and BCD of beam A BCD are pin...Ch. 1 - Segments AB and BCD of beam ABCD are pin connected...Ch. 1 - Consider the plane truss with a pin support at...Ch. 1 - A plane truss has a pin support at A and a roller...Ch. 1 - A plane truss has a pin support at F and a roller...Ch. 1 - Find support reactions at A and B and then use the...Ch. 1 - Find support reactions at 4 and Band then use the...
Ch. 1 - Repeat 1.3-9 but use the method of sections go...Ch. 1 - Repeat 1.3-10 but use the method of sections to...Ch. 1 - A space truss has three-dimensional pin supports...Ch. 1 - A space truss is restrained at joints O, A. B. and...Ch. 1 - 1.3-15 A space truss is restrained at joints A, B,...Ch. 1 - A space truss is restrained at joints A, B. and C,...Ch. 1 - A stepped shaft ABC consisting of two solid,...Ch. 1 - A stepped shaft ABC consisting of two solid,...Ch. 1 - A plane frame is restrained al joints A and C, as...Ch. 1 - A plane Frame is restrained at joints A and D, as...Ch. 1 - Find support reactions at A and D and then...Ch. 1 - Find support reactions at A and D and then...Ch. 1 - ,3-23 A 200-lb trap door (AD) is supported by a...Ch. 1 - A plane frame is constructed by using a pin...Ch. 1 - A plane Frame with pin supports at A and E has a...Ch. 1 - A plane frame with a pin support at A and roller...Ch. 1 - A 150-lb rigid bar AB. with friction less rollers...Ch. 1 - A plane frame has a pin support at A and roller...Ch. 1 - A special vehicle brake is clamped at O when the...Ch. 1 - Space frame A BCD is clamped at A, except it is...Ch. 1 - Space Frame ABC is clamped at A, except it is free...Ch. 1 - 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A tie-down on the deck of a sailboat consists of a...Ch. 1 - Two steel tubes are joined at B by four pins (dp=...Ch. 1 - A steel pad supporting heavy machinery rests on...Ch. 1 - A steel pad supporting heavy machinery rests on...Ch. 1 - A steel riser pipe hangs from a drill rig....Ch. 1 - The rear hatch of a van (BDCG in figure part a) is...Ch. 1 - A lifeboat hangs from two ship's davits. as shown...Ch. 1 - A cable and pulley system in the figure part a...Ch. 1 - A ship's spar is attached at the base of a mast by...Ch. 1 - What is the maximum possible value of the clamping...Ch. 1 - A metal bar AB of a weight Ills suspended by a...Ch. 1 - A plane truss is subjected to loads 2P and P at...Ch. 1 - A solid bar of circular cross section (diameter d)...Ch. 1 - A solid steel bar of a diameter d1= 60 mm has a...Ch. 1 - A sign of weight W is supported at its base by...Ch. 1 - The piston in an engine is attached to a...Ch. 1 - An aluminum tube is required to transmit an axial...Ch. 1 - A copper alloy pipe with a yield stress aY= 290...Ch. 1 - A horizontal beam AB with cross-sectional...Ch. 1 - Lateral bracing for an elevated pedestrian walkway...Ch. 1 - A plane truss has joint loads P, 2P, and 3P at...Ch. 1 - Cable DB supports canopy beam OABC as shown in the...Ch. 1 - Continuous cable ADS runs over a small...Ch. 1 - A suspender on a suspension bridge consist of a...Ch. 1 - A square steel tube of a length L = 20 ft and...Ch. 1 - A cable and pulley system at D is used to bring a...Ch. 1 - A pressurized circular cylinder has a sealed cover...Ch. 1 - A tubular post of outer diameter d2is guyed by two...Ch. 1 - A large precast concrete panel for a warehouse is...Ch. 1 - A steel column of hollow circular cross section is...Ch. 1 - An elevated jogging track is supported at...Ch. 1 - A flat bar of a widths b = 60 mm and thickness t =...Ch. 1 - Continuous cable A DB runs over a small friction...Ch. 1 - Continuous cable ADB runs over a small friction...Ch. 1 - Two bars AC and BC of the same material support a...
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