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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Textbook Question
Chapter 1, Problem 1.7.10P
Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P.
Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33.
(a) Find the change in length of each bar.
(b) Find the change in volume of each bar.
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This is a mechanics/statics problem involving finding internal reactions, V(x) and M(x). Please refer to image for details. I'm not sure about where to take cuts and how to formulate the equations as a function of x. For my support Reactions I got Ay = 1008.33 lb, By = 1416.67 lb and Cy = 175 lb. and for the first cut V(x) = 1008.33 -250(x) and M(x) = 1008.33x - 125x^2. I'm struggling with the equations for the 2nd and 3rd cut.
As shown in the figure below, a ring is used to suspend a load and is supported by Cable OA and Spring OB. Given that the tension in Cable OA is 400 N, what is the weight of the load being supported? Assume the system is in static equilibrium.
4.
(a) State the conditions that must be met to ensure dynamic balance is achieved for long rotors.
(b) A rotor carries three out-of-balance discs in planes A, B and C as shown in Figure 4. The out-of-
balance mass x radius products of the rotor discs are tabulated in Table 4.
The shaft is to be dynamically balanced by adding balancing masses in planes P and Q, spaced along
the shaft at a distance da = 800 mm.
Determine the magnitude mara and angular position of the balancing mass x radius product that
must be added to plane Q.
MBB
Ов
θε
mdc
Мага
End View on Plane P
P
MBB
MATA
dA
dB
dc
do
Figure 4
moc
Table 4
MATA = 0.6 kg mm
6A = 0°
d₁ = 200 mm
mers = 0.2 kg mm
6g = 45°
dB = 400 mm
mcrc = 0.4 kg mm
Bc=240°
dc = 600 mm
Ans. (b) = 110.5°, moro = 0.2 kg mm
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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Two gondolas on a ski lift are locked in the...Ch. 1 - A round bar ABC of length 2L (see figure) rotates...Ch. 1 - Two separate cables AC and BC support a sign...Ch. 1 - Imagine that a long steel wire hangs vertically...Ch. 1 - A steel riser pipe hangs from a drill rig located...Ch. 1 - Three different materials, designated A, B. and C,...Ch. 1 - The strength-to-weight ratio of a structural...Ch. 1 - A symmetrical framework consisting of three...Ch. 1 - A specimen of a methacrylate plastic is tested in...Ch. 1 - The data shown in the accompanying table are From...Ch. 1 - A bar made of structural steel having the...Ch. 1 - A bar of length 2.0 m is made of a structural...Ch. 1 - A bar made of structural steel having the...Ch. 1 - A circular bar of magnesium alloy is 750 mm long....Ch. 1 - An aluminum bar has length L = 6 ft and diameter d...Ch. 1 - A continuous cable (diameter 6 mm) with tension...Ch. 1 - A wine of length L = 4 ft and diameter d = 0.125...Ch. 1 - A high-strength steel bar used in a large crane...Ch. 1 - A round bar of 10 mm diameter is made of aluminum...Ch. 1 - A polyethylene bar with a diameter d, = 4.0 in. is...Ch. 1 - A square plastic bar (length LP,side dimension...Ch. 1 - A polyethylene bar having rectangular cross...Ch. 1 - A circular aluminum tube of length L = 600 mm is...Ch. 1 - A bar of monel metal with a length L = 9 in. and a...Ch. 1 - A tensile test is performed on a brass specimen 10...Ch. 1 - A hollow, brass circular pipe ABC (see figure)...Ch. 1 - Three round, copper alloy bars having the same...Ch. 1 - An angle bracket having a thickness t = 0.75 in....Ch. 1 - Truss members supporting a roof are connected to a...Ch. 1 - The upper deck ala foothill stadium is supported...Ch. 1 - The inclined ladder AB supports a house painter...Ch. 1 - The Force in the brake cable of the V-brake system...Ch. 1 - A steel plate of dimensions 2.5 × l.5 × 0.08 m and...Ch. 1 - A special-purpose eye boll with a shank diameter d...Ch. 1 - An elastomeric bearing pad consisting of two steel...Ch. 1 - A joint between iwo concrete slabs A and B is...Ch. 1 - A steel punch consists of two shafts: upper shaft...Ch. 1 - A joint between two glass plates A and B is filled...Ch. 1 - A punch for making a slotted hole in ID cards is...Ch. 1 - A steel riser pipe hangs from a drill rig located...Ch. 1 - A flexible connection consisting of rubber pads...Ch. 1 - .15 A hitch-mounted bicycle rack is designed to...Ch. 1 - The clamp shown in the figure supports a load...Ch. 1 - A shock mount constructed as shown iu the figure...Ch. 1 - Prob. 1.8.18PCh. 1 - A spray nozzle for a garden hose requires under a...Ch. 1 - A single steel strut AB with a diameter (a) Find...Ch. 1 - The top portion of a pole saw used to trim (a)...Ch. 1 - A cargo ship is tied down to marine boll arts at a...Ch. 1 - A basketball player hangs on the rim after (a)...Ch. 1 - A bicycle chain consists of a series of small...Ch. 1 - A bar of solid circular cross section is loaded in...Ch. 1 - .2 A torque T0is transmitted between two flanged...Ch. 1 - 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 - 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