MECHANICS OF MATERIAL IN SI UNITS
10th Edition
ISBN: 9781292178202
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 7.2, Problem 7.16P
Plot the shear-stress distribution over the cross section of a rod that has a radius c. By what factor is the maximum shear stress greater than the average shear stress acting over the cross section?
Prob. 7–16
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A wooden beam is fabricated by bolting together three members as shown. The 8-mm-
diameter bolts are spaced at intervals of s= 200 mm along the x axis of the beam. If
the internal shear force in the beam is V=7 kN, determine the shear stress in each bolt.
40 mm
40 mm
90 mm
40 mm
300 mm
Determine the normal stress and shear stress at a point distant from hP from the bottom surface of the depicted cross, also determine the maximum normal stress and maximum shear stress in the cross section.
t=10 mm
w= 150 mm
h=180 mm
V= 5 kN
M= 3 kN.m
hP= 145 mm
The thin-walled pipe has an inner diameter of 1.2 cm and a
thickness of 0.06 cm. If it is subjected to an internal pressure of
4 MPa and the axial tension and torsional loadings shown,
determine the principal stress and the absolute maximum shear
stress at a point on the surface of the pipe. (15' in total)
2000 N
2000 N
8 N-m
8 N-m
1.2 cm
0.06 cm
Chapter 7 Solutions
MECHANICS OF MATERIAL IN SI UNITS
Ch. 7.2 - In each case, calculate the value of Q and t that...Ch. 7.2 - If the beam is subjected to a shear force of V =...Ch. 7.2 - Determine the shear stress at points A and B if...Ch. 7.2 - Determine the absolute maximum shear stress in the...Ch. 7.2 - If the beam is subjected to a shear force of V =20...Ch. 7.2 - If the beam is made from four plates and subjected...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - If the beam is subjected to a shear of V = 30 kN,...
Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - The wood beam has an allowable shear stress of...Ch. 7.2 - The shaft is supported by a thrust bearing at A...Ch. 7.2 - The shaft is supported by a thrust bearing at A...Ch. 7.2 - Determine the largest shear force V that the...Ch. 7.2 - If the applied shear force V = 18 kip, determine...Ch. 7.2 - The overhang beam is subjected to the uniform...Ch. 7.2 - The beam is made from a polymer and is subjected...Ch. 7.2 - Determine the maximum shear stress in the strut if...Ch. 7.2 - Determine the maximum shear force V that the strut...Ch. 7.2 - Sketch the intensity of the shear-stress...Ch. 7.2 - Plot the shear-stress distribution over the cross...Ch. 7.2 - If the beam is subjected to a shear of V=15 kN,...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - Determine the length of the cantilevered beam so...Ch. 7.2 - If the beam is made from wood having an allowable...Ch. 7.2 - Determine the largest intensity w of the...Ch. 7.2 - If w=800 lb/ft, determine the absolute maximum...Ch. 7.2 - Determine the shear stress at point B on the web...Ch. 7.2 - Determine the maximum shear stress acting at...Ch. 7.2 - Railroad ties must be designed to resist large...Ch. 7.2 - The beam is slit longitudinally along both sides....Ch. 7.2 - The beam is to be cut longitudinally along both...Ch. 7.2 - The composite beam is constructed from wood and...Ch. 7.2 - The beam has a rectangular cross section and is...Ch. 7.2 - The beam in Fig.6-48f is subjected to a fully...Ch. 7.3 - The two identical boards are bolted together to...Ch. 7.3 - Two identical 20-mm-thick plates are bolted to the...Ch. 7.3 - The boards are bolted together to form the...Ch. 7.3 - The boards are bolted together to form the...Ch. 7.3 - The beam is constructed from two boards fastened...Ch. 7.3 - The beam is constructed from two boards fastened...Ch. 7.3 - The beam is constructed from three boards. If it...Ch. 7.3 - The beam is constructed from three boards....Ch. 7.3 - The double T-beam is fabricated by welding the...Ch. 7.3 - The double T-beam is fabricated by welding the...Ch. 7.3 - The beam is constructed from three boards....Ch. 7.3 - A beam is constructed from three boards bolted...Ch. 7.3 - The simply supported beam is built up from three...Ch. 7.3 - The simply supported beam is built up from three...Ch. 7.3 - The T-beam is constructed as shown. If each nail...Ch. 7.3 - The box beam is constructed from four boards that...Ch. 7.3 - The box beam is constructed from four boards that...Ch. 7.3 - The member consists of two plastic channel strips...Ch. 7.3 - The member consists of two plastic channel strips...Ch. 7.3 - The beam is made from four boards nailed together...Ch. 7.3 - The beam is made from three polystyrene strips...Ch. 7.5 - A shear force of V=300 kN is applied to the box...Ch. 7.5 - A shear force of V=450 kN is applied to the box...Ch. 7.5 - A shear force of V = 18 kN is applied to the box...Ch. 7.5 - A shear force of V = 18 kN is applied to the box...Ch. 7.5 - The aluminum strut is 10 mm thick and has the...Ch. 7.5 - The aluminum strut is 10 mm thick and has the...Ch. 7.5 - The beam is subjected to a shear force of V=50...Ch. 7.5 - The beam is subjected to a shear force of V=50...Ch. 7.5 - The H-beam is subjected to a shear of V=80 kN...Ch. 7.5 - The H-beam is subjected to a shear of V=80 kN...Ch. 7.5 - The built-up beam is formed by welding together...Ch. 7.5 - The assembly is subjected to a vertical shear of V...Ch. 7.5 - The box girder is subjected to a shear of V=15 kN....Ch. 7.5 - Determine the location e of the shear center,...Ch. 7.5 - Determine the location e of the shear center,...Ch. 7.5 - The beam supports a vertical shear of V=7 kip....Ch. 7.5 - The stiffened beam is constructed from plates...Ch. 7.5 - The pipe is subjected to a shear force of V=8 kip....Ch. 7.5 - Determine the location e of the shear center,...Ch. 7.5 - A thin plate of thickness t is bent to form the...Ch. 7.5 - Determine the location e of the shear center,...Ch. 7 - The beam is fabricated from four boards nailed...Ch. 7 - The T-beam is subjected to a shear of V = 150 kN....Ch. 7 - The member is subject to a shear force of V = 2...Ch. 7 - Determine the shear stress at points B and C on...Ch. 7 - Determine the maximum shear stress acting at...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
Select a mechanical component from Part 3 of this book (roller bearings, springs, etc.), go to the Internet, an...
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
3.3 It is known that a vertical force of 200 lb is required to remove the nail at C from the board. As the nail...
Vector Mechanics for Engineers: Statics, 11th Edition
Convert the following quantities from English to SI units: a. 98 Btu/(hr-ft-F) b. 0.24 Btu/(lbm-F) C. 0.04 Ibm/...
Heating Ventilating and Air Conditioning: Analysis and Design
What is the weight in newtons of an object that has a mass of (a) 8 kg, (b) 0.04 kg, (c) 760 Mg?
Statics and Mechanics of Materials (5th Edition)
A biological fluid moves at a flow rate of m=0.02kg/s through a coiled, thin-walled, 5-mm-diameter tube submerg...
Fundamentals of Heat and Mass Transfer
What types of polymers are most commonly blow molded?
DeGarmo's Materials and Processes in Manufacturing
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
- The bar has a cross-sectional area of 480(109 m². It is subjected to a triangular axial distributed loading along its length which is 0 kN/m at æ = 0 m and 9 kN/m at x = 1.5 m, and to two concentrated loads as shown. -8 kN 4 kN 0.6 m 0.9 m Part A Determine the average normal stress in the bar as a function of x for 0 m < æ < 0.6 m. 39.06x² + 6.25 39.06 – 6.25º2 o(x) = MPа 39.06 + 6.25x² 39.06x² – 6.25arrow_forwardProblem 3 Consider the cross section shown below. Knowing that the vertical internal shear force at the section is 150 kN, determine (a) the horizontal shear stress at point b, (b) the vertical shear stress at point a. b -12 6. -12 80 6. 40 150 Dimensions in mmarrow_forwardThe aluminum rod has a cross-shaped cross section. If subjected to the moment M = 8 kN x m, determine the bending stress acting at points A and B and show the results acting on volume elements located at these points. 100 mm 20 mm 100 mm B M = 8 kN-m 20 mm- 50 mm 50 mmarrow_forward
- The extruded cross section is subjected to a shear force of V = 495 N. Dimensions of the cross section are b = 42 mm, d = 75 mm, and t = 3.0 mm. Determine: (a) the value of Q associated with point H, located at a = 13 mm above the lower surface of the cross section. (b) the magnitude of the horizontal shear stress at point H. (c) the magnitude of the maximum horizontal shear stress in the cross section. ((уp) H a b Answer: (a) QH = 6306 mm3 (b) TH = i 1.091744397 kPa (c) Tmax = 1.637227058 kPaarrow_forward6-54. The beam is made from three boards nailed together as shown. If the moment acting on the cross section is M = 600 N - m, determine the maximum bending stress in the beam. Sketch a three-dimensional view of the stress distribution acting over the cross section. 25 mm 150 mm 20 mm 200 mm M - 600N-m 20 mmarrow_forward1.6-8 A frame is made of a 2 m long vertical pipe CD and a brace AB formed from two flat bars (see figure). The frame is supported by bolted connections at points A and C, which are 2 m apart. The brace is fastened to the pipe at point B,arrow_forward
- Use Mohr's Circle to determine the maximum shear stress on the element, also using Mohr's Circle determine the maximum normal stress on the element.arrow_forwardThe T-beam is subjected to the loading shown. Determine the maximum transverse shear stress in the beam at the critical section. A 2 m 20 kN 2 m 8 kN/m 3 m B 100 mm 100 mm 20 mm 20 mmarrow_forwardDetermine the shape factor of the cross section.arrow_forward
- Determine the moment M that will produce a maximum stress of 70 MPa on the cross-section. 12 mm -75 mm- -12 mm 12 mm B 75 mm 250 mm -- 12 mmarrow_forwardDetermine the value of the maximum shear stress and the maximum normal stress produced in the structure shown, based on the cross section.arrow_forward12am 2cm Determine the maximum and minimum value of 2cm the normal stress caused by the bending moment M,-20NM on the cross-section given in the figure. M=20NM 18cm Draw the normal stress distribution. 2cm 18cmarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Everything About TRANSVERSE SHEAR in 10 Minutes!! - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=4x0E9yvzfCM;License: Standard Youtube License