
Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 7, Problem 6RP
To determine
Find the average normal stress and average shear stress acting on the plane through section a-a.
Show the results on a differential volume element located on the plane.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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
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.
Chapter 7 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 7.2 - In each case, explain how to find the resultant...Ch. 7.2 - Determine the internal normal force, shear force,...Ch. 7.2 - Determine the internal normal force, shear force,...Ch. 7.2 - Determine the internal normal force, shear force,...Ch. 7.2 - Determine the internal normal force, shear force,...Ch. 7.2 - Determine the internal normal force, shear force,...Ch. 7.2 - Determine the internal normal force, shear force,...Ch. 7.2 - The shaft is supported by a smooth thrust bearing...Ch. 7.2 - Determine the resultant internal normal and shear...Ch. 7.2 - Determine the resultant internal loadings acting...
Ch. 7.2 - The shaft is supported by a smooth thrust bearing...Ch. 7.2 - Determine the resultant internal loadings acting...Ch. 7.2 - Determine the resultant internal loadings on the...Ch. 7.2 - Determine the resultant internal loadings at cross...Ch. 7.2 - Prob. 8PCh. 7.2 - The beam supports the distributed load shown....Ch. 7.2 - The boom DF of the jib crane and the column DE...Ch. 7.2 - Determine the resultant internal loadings acting...Ch. 7.2 - Determine the resultant internal loadings acting...Ch. 7.2 - The blade of the hacksaw is subjected to a...Ch. 7.2 - The blade of the hacksaw is subjected to a...Ch. 7.2 - The beam supports the triangular distributed load...Ch. 7.2 - The beam supports the distributed load shown....Ch. 7.2 - The shaft is supported at its ends by two bearings...Ch. 7.2 - The shaft is supported at its ends by two bearings...Ch. 7.2 - The hand crank that is used in a press has the...Ch. 7.2 - Determine the resultant internal loadings acting...Ch. 7.2 - Determine the resultant internal loadings acting...Ch. 7.2 - The metal stud punch is subjected to a force of...Ch. 7.2 - Determine the resultant internal loadings acting...Ch. 7.2 - Prob. 24PCh. 7.2 - Determine the resultant internal loadings acting...Ch. 7.5 - In each case, determine the largest internal shear...Ch. 7.5 - Determine the largest internal normal force in the...Ch. 7.5 - Determine the internal normal force at section A...Ch. 7.5 - The lever is held to the fixed shaft using the pin...Ch. 7.5 - Prob. 6PPCh. 7.5 - Prob. 7FPCh. 7.5 - Determine the average normal stress on the cross...Ch. 7.5 - Prob. 9FPCh. 7.5 - If the 600-kN force acts through the centroid of...Ch. 7.5 - Prob. 11FPCh. 7.5 - Prob. 12FPCh. 7.5 - The supporting wheel on a scaffold is held in...Ch. 7.5 - Determine the largest intensity w of the uniform...Ch. 7.5 - Prob. 28PCh. 7.5 - The small block has a thickness of 0.5 in. If the...Ch. 7.5 - Prob. 30PCh. 7.5 - If the block is subjected to a centrally applied...Ch. 7.5 - Prob. 32PCh. 7.5 - The board is subjected to a tensile force of 200...Ch. 7.5 - The boom has a uniform weight of 600 lb and is...Ch. 7.5 - Determine the average normal stress in each of the...Ch. 7.5 - If the average normal stress in each of the...Ch. 7.5 - Determine the maximum average shear stress in pin...Ch. 7.5 - Prob. 38PCh. 7.5 - Prob. 39PCh. 7.5 - The column is made of concrete having a density of...Ch. 7.5 - The beam is supported by two rods AB and CD that...Ch. 7.5 - The beam is supported by two rods AB and CD that...Ch. 7.5 - Prob. 43PCh. 7.5 - The railcar docklight is supported by the...Ch. 7.5 - The plastic block is subjected to an axial...Ch. 7.5 - The two steel members are joined together using a...Ch. 7.5 - The bar has a cross-sectional area of 400(106) m2....Ch. 7.5 - Prob. 48PCh. 7.5 - The two members used in the construction of an...Ch. 7.5 - Prob. 50PCh. 7.5 - Prob. 51PCh. 7.6 - Rods AC and BC are used to suspend the 200-kg...Ch. 7.6 - The pin at A has a diameter of 0.25 in. If it is...Ch. 7.6 - Prob. 15FPCh. 7.6 - Prob. 16FPCh. 7.6 - The strut is glued to the horizontal member at...Ch. 7.6 - Prob. 18FPCh. 7.6 - Prob. 19FPCh. 7.6 - Prob. 20FPCh. 7.6 - Prob. 21FPCh. 7.6 - The pin is made of a material having a failure...Ch. 7.6 - Prob. 23FPCh. 7.6 - Prob. 24FPCh. 7.6 - Prob. 52PCh. 7.6 - Prob. 53PCh. 7.6 - The connection is made using a bolt and nut and...Ch. 7.6 - The tension member is fastened together using two...Ch. 7.6 - Prob. 56PCh. 7.6 - Prob. 57PCh. 7.6 - Determine the size of square bearing plates A and...Ch. 7.6 - Determine the maximum load P that can be applied...Ch. 7.6 - Determine the required diameter of the pins at A...Ch. 7.6 - Prob. 61PCh. 7.6 - Prob. 62PCh. 7.6 - The cotter is used to hold the two rods together...Ch. 7.6 - Determine the required diameter of the pins at A...Ch. 7.6 - The steel pipe is supported on the circular base...Ch. 7.6 - Prob. 66PCh. 7.6 - The boom is supported by the winch cable that has...Ch. 7.6 - The assembly consists of three disks A, B, and C...Ch. 7.6 - Prob. 69PCh. 7.6 - The two aluminum rods AB and AC have diameters of...Ch. 7.8 - A loading causes the member to deform into the...Ch. 7.8 - Prob. 8PPCh. 7.8 - A loading causes the wires to elongate into the...Ch. 7.8 - Prob. 10PPCh. 7.8 - Prob. 11PPCh. 7.8 - Prob. 25FPCh. 7.8 - If the force P causes the rigid arm ABC to rotate...Ch. 7.8 - The rectangular plate is deformed into the shape...Ch. 7.8 - The triangular plate is deformed into the shape...Ch. 7.8 - The square plate is deformed into the shape shown...Ch. 7.8 - Prob. 71PCh. 7.8 - Prob. 72PCh. 7.8 - If the load P on the beam causes the end C to be...Ch. 7.8 - The force applied at the handle of the rigid lever...Ch. 7.8 - The rectangular plate is subjected to the...Ch. 7.8 - Prob. 76PCh. 7.8 - Prob. 77PCh. 7.8 - Prob. 78PCh. 7.8 - Prob. 79PCh. 7.8 - Prob. 80PCh. 7.8 - Determine the shear strain xy at corners D and C...Ch. 7.8 - The material distorts into the dashed position...Ch. 7.8 - Prob. 83PCh. 7.8 - Determine the shear strain xy at comers A and B if...Ch. 7.8 - Prob. 85PCh. 7.8 - Determine the average normal strain that occurs...Ch. 7.8 - The corners of the square plate are given the...Ch. 7.8 - Prob. 88PCh. 7.8 - Prob. 89PCh. 7.8 - The triangular plate is fixed at its base, and its...Ch. 7.8 - The polysulfone block is glued at its top and...Ch. 7 - The beam AB is pin supported at A and supported by...Ch. 7 - The long bolt passes through the 30-mm-thick...Ch. 7 - Determine the required thickness of member BC and...Ch. 7 - The circular punch B exerts a force of 2 kN on the...Ch. 7 - Prob. 5RPCh. 7 - Prob. 6RPCh. 7 - The square plate is deformed into the shape shown...Ch. 7 - Prob. 8RPCh. 7 - The rubber block is fixed along edge AB, and edge...
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
- 5. 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_forward3 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_forward
- 2. 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_forwardCE-112 please solve this problem step by step and give me the correct answerarrow_forward
- CE-112 please solve this problem step by step and give me the correct answerarrow_forwardCE-112 solve this problem step by step and give me the correct answer pleasearrow_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_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_forwardCE-112 please solve this problem step by step and give me the correct answerarrow_forwardCE-112 please solve this problem step by step and give me the correct asnwerarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE LMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning

International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L

Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY