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 9, Problem 9.3.16P
A simple beam with an overhang is subjected to d point load P = 6kN. If the maximum allowable deflect ion at point C is 0.5 mm, select the lightest W360 section from Table F-l{b) that can be used for the beam. Assume that L = 3 m and ignore the distributed weight of the beam.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
The resistance R and load effect S for a given failure mode are statistically independent random variables
with marginal PDF's
1
fR (r) =
0≤r≤100
100'
fs(s)=0.05e-0.05s
(a) Determine the probability of failure by computing the probability content of the failure domain defined
as {r
Please solve this problem as soon as possible My ID# 016948724
The gears shown in the figure have a diametral pitch of 2 teeth per inch and a 20° pressure angle.
The pinion rotates at 1800 rev/min clockwise and transmits 200 hp through the idler pair to gear
5 on shaft c. What forces do gears 3 and 4 transmit to the idler shaft?
TS
I
y
18T
32T
This
a
12
x
18T
C
48T
5
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...
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
- Question 1. Draw 3 teeth for the following pinion and gear respectively. The teeth should be drawn near the pressure line so that the teeth from the pinion should mesh those of the gear. Drawing scale (1:1). Either a precise hand drawing or CAD drawing is acceptable. Draw all the trajectories of the involute lines and the circles. Specification: 18tooth pinion and 30tooth gear. Diameter pitch=P=6 teeth /inch. Pressure angle:20°, 1/P for addendum (a) and 1.25/P for dedendum (b). For fillet, c=b-a.arrow_forward5. The figure shows a gear train. There is no friction at the bearings except for the gear tooth forces. The material of the milled gears is steel having a Brinell hardness of 170. The input shaft speed (n2) is 800 rpm. The face width and the contact angle for all gears are 1 in and 20° respectively. In this gear set, the endurance limit (Se) is 15 kpsi and nd (design factor) is 2. (a) Find the revolution speed of gear 5. (b) Determine whether each gear satisfies the design factor of 2.0 for bending fatigue. (c) Determine whether each gear satisfies the design factor of 2.0 for surface fatigue (contact stress). (d) According to the computation results of the questions (b) and (c), explain the possible failure mechanisms for each gear. N4=28 800rpm N₁=43 N5=34 N₂=14 P(diameteral pitch)=8 for all gears Coupled to 2.5hp motorarrow_forward1. The rotating steel shaft is simply supported by bearings at points of B and C, and is driven by a spur gear at D, which has a 6-in pitch diameter. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point A of TA =3000 lbĘ in. The shaft is machined from steel with Sy=60kpsi and Sut=80 kpsi. (1) Draw a shear force diagram and a bending moment diagram by F. According to your analysis, where is the point of interest to evaluate the safety factor among A, B, C, and D? Describe the reason. (Hint: To find F, the torque Tд is generated by the tangential force of F (i.e. Ftangential-Fcos20°) When n=2.5, K=1.8, and K₁ =1.3, determine the diameter of the shaft based on (2) static analysis using DE theory (note that fatigue stress concentration factors need to be used for this question because the loading condition is fatigue) and (3) a fatigue analysis using modified Goodman. Note) A standard diameter is not required for the questions. 10 in Darrow_forward
- 3 N2=28 P(diametral pitch)=8 for all gears Coupled to 25 hp motor N3=34 Full depth spur gears with pressure angle=20° N₂=2000 rpm (1) Compute the circular pitch, the center-to-center distance, and base circle radii. (2) Draw the free body diagram of gear 3 and show all the forces and the torque. (3) In mounting gears, the center-to-center distance was reduced by 0.1 inch. Calculate the new values of center-to-center distance, pressure angle, base circle radii, and pitch circle diameters. (4)What is the new tangential and radial forces for gear 3? (5) Under the new center to center distance, is the contact ratio (mc) increasing or decreasing?arrow_forward2. A flat belt drive consists of two 4-ft diameter cast-iron pulleys spaced 16 ft apart. A power of 60 hp is transmitted by a pulley whose speed is 380 rev/min. Use a service factor (Ks) pf 1.1 and a design factor 1.0. The width of the polyamide A-3 belt is 6 in. Use CD=1. Answer the following questions. (1) What is the total length of the belt according to the given geometry? (2) Find the centrifugal force (Fc) applied to the belt. (3) What is the transmitted torque through the pulley system given 60hp? (4) Using the allowable tension, find the force (F₁) on the tight side. What is the tension at the loose side (F2) and the initial tension (F.)? (5) Using the forces, estimate the developed friction coefficient (f) (6) Based on the forces and the given rotational speed, rate the pulley set. In other words, what is the horse power that can be transmitted by the pulley system? (7) To reduce the applied tension on the tight side, the friction coefficient is increased to 0.75. Find out the…arrow_forwardThe tooth numbers for the gear train illustrated are N₂ = 24, N3 = 18, №4 = 30, №6 = 36, and N₁ = 54. Gear 7 is fixed. If shaft b is turned through 5 revolutions, how many turns will shaft a make? a 5 [6] barrow_forward
- Please do not use any AI tools to solve this question. I need a fully manual, step-by-step solution with clear explanations, as if it were done by a human tutor. No AI-generated responses, please.arrow_forwardPlease do not use any AI tools to solve this question. I need a fully manual, step-by-step solution with clear explanations, as if it were done by a human tutor. No AI-generated responses, please.arrow_forwardCE-112 please solve this problem step by step and give me the correct answerarrow_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