Bundle: Mechanics Of Materials, Loose-leaf Version, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
9th Edition
ISBN: 9781337594318
Author: Barry J. Goodno; James M. Gere
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 9, Problem 9.3.19P
-19 Derive the equations of the deflect ion curve for a simple beam AB loaded by a couple M0acting at distance a from the left-hand support (see figure).
Also, determine the deflection
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
1. Four masses A, B, C and D are attached to a shaft and revolve in the same plane. The masses are 12
kg. 10 kg. 18 kg and 15 kg respectively and their radii of rotations are 40 mm, 50 mm, 60 mm and
30 mm. The angular position of the masses B, C and D are 60°, 135° and 270 from the mass A.
Find the magnitude and position of the balancing mass at a radius of 100 mm.
[Ans. 7.56 kg: 87 clockwise from A]
3. The structure in Figure 3 is loaded by a horizontal force P = 2.4 kN at C. The roller at E is
frictionless. Find the axial force N, the shear force V and the bending moment M at a section
just above the pin B in the member ABC and illustrate their directions on a sketch of the segment
AB.
B
P
D
A
65°
65°
E
all dimensions in meters
Figure 3
4. The distributed load in Figure 4 varies linearly from 3wo per unit length at A to wo per unit
length at B and the beam is built in at A. Find expressions for the shear force V and the bending
moment M as functions of x.
3W0
Wo
A
L
Figure 4
2
B
Chapter 9 Solutions
Bundle: Mechanics Of Materials, Loose-leaf Version, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
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...
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
- 1. The beam AB in Figure 1 is subjected to a uniformly distributed load wo = 100 N/m. Find the axial force N, the shear force V and the bending moment M at the point D which is midway between A and B and illustrate their directions on a sketch of the segment DB. wo per unit length A D' B all dimensions in metersarrow_forward5. Find the shear force V and the bending moment M for the beam of Figure 5 as functions of the distance x from A. Hence find the location and magnitude of the maximum bending moment. w(x) = wox L x L Figure 5 Barrow_forwardDry atmospheric air enters an adiabatic compressor at a 20°C, 1 atm and a mass flow rate of 0.3kg/s. The air is compressed to 1 MPa. The exhaust temperature of the air is 70 degrees hottercompared to the exhaust of an isentropic compression.Determine,a. The exhaust temperature of the air (°C)b. The volumetric flow rate (L/s) at the inlet and exhaust of the compressorc. The power required to accomplish the compression (kW)d. The isentropic efficiency of the compressore. An accounting of the exergy entering the compressor (complete Table P3.9) assuming that thedead state is the same as State 1 (dry atmospheric air)f. The exergetic efficiency of the compressorarrow_forward
- A heat pump is operating between a low temperature reservoir of 270 K and a high temperaturereservoir of 340 K. The heat pump receives heat at 255 K from the low temperature reservoir andrejects heat at 355 K to the high temperature reservoir. The heating coefficient of performance ofthe heat pump is 3.2. The heat transfer rate from the low temperature reservoir is 30 kW. The deadstate temperature is 270 K. Determine,a. Power input to the heat pump (kW)b. Heat transfer rate to the high-temperature reservoir (kW)c. Exergy destruction rate associated with the low temperature heat transfer (kW)d. Exergy destruction rate of the heat pump (kW)e. Exergy destruction rate associated with the high temperature heat transfer (kW)f. Exergetic efficiency of the heat pump itselfarrow_forwardRefrigerant 134a (Table B6, p514 of textbook) enters a tube in the evaporator of a refrigerationsystem at 132.73 kPa and a quality of 0.15 at a velocity of 0.5 m/s. The R134a exits the tube as asaturated vapor at −21°C. The tube has an inside diameter of 3.88 cm. Determine the following,a. The pressure drop of the R134a as it flows through the tube (kPa)b. The volumetric flow rate at the inlet of the tube (L/s)c. The mass flow rate of the refrigerant through the tube (g/s)d. The volumetric flow rate at the exit of the tube (L/s)e. The velocity of the refrigerant at the exit of the tube (m/s)f. The heat transfer rate to the refrigerant (kW) as it flows through the tubearrow_forwardWater enters the rigid, covered tank shown in Figure P3.2 with a volumetric flow rate of 0.32L/s. The water line has an inside diameter of 6.3 cm. The air vent on the tank has an inside diameterof 4.5 cm. The water is at a temperature of 30°C and the air in the tank is at atmospheric pressure(1 atm) and 30°C. Determine the air velocity leaving the vent at the instant shown in the figurearrow_forward
- Using method of sections, determine the force in member BC, HC, and HG. State if these members are in tension or compression. 2 kN A 5 kN 4 kN 4 kN 3 kN H B C D E 3 m F 2 m -5 m 5 m- G 5 m 5 m-arrow_forwardDetermine the normal stresses σn and σt and the shear stress τnt at this point if they act on the rotated stress element shownarrow_forwardUsing method of joints, determine the force in each member of the truss and state if the members are in tension or compression. A E 6 m D 600 N 4 m B 4 m 900 Narrow_forward
- Question 5. The diagram below shows a mass suspended from a tie supported by two horizontal braces of equal length. The tie forms an angle "a" of 60° to the horizontal plane, the braces form an angle 0 of 50° to the vertical plane. If the mass suspended is 10 tonnes, and the braces are 10m long, find: a) the force in the tie; & b) the force in the braces Horizontal Braces, Tie Massarrow_forward= MMB 241 Tutorial 2.pdf 1 / 3 75% + + Tutorial z Topic: Kinematics of Particles:-. QUESTIONS 1. Use the chain-rule and find y and ŷ in terms of x, x and x if a) y=4x² b) y=3e c) y = 6 sin x 2. The particle travels from A to B. Identify the three unknowns, and write the three equations needed to solve for them. 8 m 10 m/s 30° B x 3. The particle travels from A to B. Identify the three unknowns, and write the three equations needed to solve for them. A 40 m/s 20 m B 1arrow_forward3 m³/s- 1 md 45° V 1.8 mr 2mrarrow_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
Solids: Lesson 53 - Slope and Deflection of Beams Intro; Author: Jeff Hanson;https://www.youtube.com/watch?v=I7lTq68JRmY;License: Standard YouTube License, CC-BY