Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
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Chapter 9, Problem 9.9.1P
A simple beam AB of length L is loaded at the left-hand end by a couple of moment MQ(see figure).
Determine the angle of rotation 0 , at support A. (Obtain the solution by determining the strain energy of the beam and then using Castigliano's theorem.)
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The crash cushion for a highway barrier consists of a
nest of barrels filled with an impact-absorbing material.
The barrier stopping force is measured versus the vehicle
penetration into the barrier. (Figure 1)
Part A
P Course Home
b My Questions | bartleby
Review
Determine the distance a car having a weight of 4000 lb will penetrate the barrier if it is originally traveling at 55 ft/s when it
strikes the first barrel.
Express your answer to three significant figures and include the appropriate units.
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μΑ
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Water is the working fluid in an ideal Rankine cycle. Saturated vapor enters the turbine at 12 MPa, and the
condenser pressure is 8 kPa. The mass flow rate of steam entering the turbine is 50 kg/s.
Determine:
(a) the net power developed, in kW.
(b) the rate of heat transfer to the steam passing through the boiler, in kW.
(c) the percent thermal efficiency.
(d) the mass flow rate of condenser cooling water, in kg/s, if the cooling water undergoes a temperature
increase of 18°C with negligible pressure change in passing through the condenser.
Chapter 9 Solutions
Mechanics of Materials (MindTap Course List)
Ch. 9 - The equation of the deflection curve for a...Ch. 9 - The equation of the deflection curve for a simply...Ch. 9 - -3 The deflection curve for a simple beam AB (see...Ch. 9 - The deflection curve for a simple beam AB (sec...Ch. 9 - The deflection curve for a cantilever beam AB (sec...Ch. 9 - The deflection curve for a cantilever beam AB (see...Ch. 9 - A simply supported beam is loaded with a point...Ch. 9 - A I-meter-long, simply supported copper beam (E =...Ch. 9 - A wide-flange beam (W 12 x 35) supports a uniform...Ch. 9 - A uniformly loaded, steel wide-flange beam with...
Ch. 9 - What is the span length L of a uniformly loaded,...Ch. 9 - -6 Calculate the maximum deflection of a uniformly...Ch. 9 - A cantilever beam with a uniform load (see figure)...Ch. 9 - A gold-alloy microbeam attached to a silicon wafer...Ch. 9 - Obtain a formula for the ratio c/maxof the...Ch. 9 - A cantilever beam model is often used to represent...Ch. 9 - B cams AB and CDE are connected using rigid link...Ch. 9 - -12 Derive the equation of the deflection curve...Ch. 9 - -13 Derive the equation of the deflection curve...Ch. 9 - -14 A cantilever beam AB supporting a triangularly...Ch. 9 - A cantilever beam has a length L = 12 ft and a...Ch. 9 - A simple beam with an overhang is subjected to d...Ch. 9 - -17 A cantilever beam AB is acted upon by a...Ch. 9 - -18 The beam shown in the figure has a sliding...Ch. 9 - -19 Derive the equations of the deflect ion curve...Ch. 9 - -20 Derive the equations of the deflection curve...Ch. 9 - -21 Derive the equations of the deflection curve...Ch. 9 - -22 Derive the equations of the deflection curve...Ch. 9 - -23 The beam shown in the figure has a sliding...Ch. 9 - -1 Derive the equation of the deflection curve for...Ch. 9 - -2 A simple beam AB is subjected to a distrib uted...Ch. 9 - -3 The simple beam AB shown in the figure has...Ch. 9 - -4 A beam with a uniform load has a sliding...Ch. 9 - -5 The distributed load acting on a cantilever...Ch. 9 - -6 A cantilever beam .4B is subjected to a...Ch. 9 - -7 A beam on simple supports is subjected to a...Ch. 9 - Derive the equation of the deflection curve for...Ch. 9 - -9 Derive the equations of the deflection curve...Ch. 9 - -10 Derive the equations of the deflection curve...Ch. 9 - A simply supported beam (E = 1600 ksi) is loaded...Ch. 9 - A simply supported beam (E = 12 GPa) carries a...Ch. 9 - Copper beam AB has circular cross section with a...Ch. 9 - Beam ABC is loaded by a uniform load q and point...Ch. 9 - A cantilever beam of a length L = 2.5 ft has a...Ch. 9 - A cantilever beam carries a trapezoidal...Ch. 9 - -5-7 A cantilever beam AB carries three equalaly...Ch. 9 - A simple beam AB supports five equally spaced...Ch. 9 - The cantilever beam AB shown in the figure has an...Ch. 9 - Beam ACE hangs from two springs, as shown in the...Ch. 9 - What must be the equation y =f(x) of the axis of...Ch. 9 - -12 Determine the angle of rotation Band...Ch. 9 - The cantilever beam ACE shown in the figure has...Ch. 9 - A cantilever beam is subjected to load P at...Ch. 9 - Use the method of superposition to find the angles...Ch. 9 - Repeat Problem 9,5-15 for the anti-symmetric...Ch. 9 - A cantilever beam is subjected to a quadratic...Ch. 9 - A beam ABCD consisting of a simple span BD and an...Ch. 9 - A horizontal load P acts at end C of the bracket...Ch. 9 - A beam ABC having flexural rigidity EI = 75 kN irT...Ch. 9 - Determine the angle of rotation 0Band deflectionCh. 9 - -22 A simple beam AB supports a uniform load of...Ch. 9 - The overhanging beam A BCD supports two...Ch. 9 - A thin metal strip of total weight W and length L...Ch. 9 - An overhanging beam ABC with flexural rigidity EI...Ch. 9 - A beam A BCD rests on simple supports at B and C...Ch. 9 - The compound beam ABC shown in the figure has a...Ch. 9 - A compound beam ABC DE (see figure) consists of...Ch. 9 - A steel beam ABC is simply supported at A and held...Ch. 9 - -30. Calculate the deflection at point C of a beam...Ch. 9 - Compound beam ABC is loaded by point load P = 1.5...Ch. 9 - The compound beam shown in the figure consists of...Ch. 9 - -33 Find the horizontal deflection hand verti cal...Ch. 9 - The fr a me A BCD shown in the heure is squeezed...Ch. 9 - A framework A BCD is acted on by counterclockwise...Ch. 9 - A framework A BCD is acted on by force P at 2L/3...Ch. 9 - A beam ABCDE has simple supports at B and D and...Ch. 9 - A frame ABC is loaded at point C by a force P...Ch. 9 - The wing of a large commercial jet is represented...Ch. 9 - The wing of a small plane is represented by a...Ch. 9 - Find an expression for required moment MA(in terms...Ch. 9 - Find an expression for required moment MA(in terms...Ch. 9 - Find required distance d (in terms of L) so that...Ch. 9 - A cantilever beam has two triangular loads as...Ch. 9 - -1 A cantilever beam AB is subjected to a uniform...Ch. 9 - The load on a cantilever beam AB has a triangular...Ch. 9 - A cantilever beam AB is subjected to a...Ch. 9 - Determine the angle of rotation BBand the...Ch. 9 - -5 Calen1ate the deflections S 3a ndCh. 9 - A cantileverbeam^Cßsupportstwo concentrated loads...Ch. 9 - Obtain formulas for the angle of rotation 0Aat...Ch. 9 - A simple beam AB supports two concentrated loads P...Ch. 9 - A simple beam AB is subjected to a load in the...Ch. 9 - -10 The simple beam AB shown in the figure...Ch. 9 - A simple beam AB is subjected to couples M0and 2A0...Ch. 9 - The cantilever beam ACB shown in the figure has...Ch. 9 - The cantilever beam ACB shown in the figure...Ch. 9 - Beam ACB hangs from two springs, as shown in the...Ch. 9 - -4 A simple beam ABCD has moment of inertia I near...Ch. 9 - A beam ABC has a rigid segment from A to B and a...Ch. 9 - A simple beam ABC has a moment of inertia 1,5 from...Ch. 9 - The tapered cantilever beam AB shown in the figure...Ch. 9 - The tapered cantilever beam AB shown in the figure...Ch. 9 - A tapered cantilever beam A B supports a...Ch. 9 - A tapered cantilever beam AB supports a...Ch. 9 - Repeat Problem 97-10, but now use the tapered...Ch. 9 - A simple beam ACE is constructed with square cross...Ch. 9 - A uniformly loaded simple beam AB (see figure) of...Ch. 9 - A simple beam AB of length L supports a...Ch. 9 - A propped cantilever beam AB of length L and with...Ch. 9 - A simple beam AB of length L is subjected to loads...Ch. 9 - A beam ABC with simple supports at A and B and an...Ch. 9 - A simple beam ACB supporting a uniform load q over...Ch. 9 - The frame shown in the figure consists of a beam...Ch. 9 - A simple beam AB of length L is loaded at the...Ch. 9 - The simple beam shown in the figure supports a...Ch. 9 - An overhanging beam ABC supports a concentrated...Ch. 9 - The cantilever beam shown in the figure supports a...Ch. 9 - A simple beam ACB supports a uniform load of...Ch. 9 - A cantilever beam ACB supports two concentrated...Ch. 9 - The cantilever beam A CB shown in the hgure is...Ch. 9 - The frame A BC support s a concentrated load P at...Ch. 9 - A simple beam ABC DE supports a uniform load of...Ch. 9 - An overhanging beam ABC is subjected to a couple...Ch. 9 - An overhanging beam ABC rests on a simple support...Ch. 9 - A symmetric beam A BCD with overhangs at both ends...Ch. 9 - A heavy object of weight W is dropped onto the...Ch. 9 - An object of weight Wis dropped onto the midpoint...Ch. 9 - A cantilever beam AB of length L = 6 It is...Ch. 9 - A weight W = 20 kN falls through a height h = 1,0...Ch. 9 - A weight W = 4000 lb falls through a height h =...Ch. 9 - An overhanging beam ABC with a rectangular cross...Ch. 9 - A heavy flywheel rotates at an angular speed m...Ch. 9 - A simple beam AB of length L and height /;...Ch. 9 - A cantilever beam JA of length Land height/; (see...Ch. 9 - An overhanging beam ABC of height h has a sliding...Ch. 9 - A simple beam AB of length L and height h (see...Ch. 9 - Beam AB has an elastic support kR at A, pin...
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