Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 17, Problem 17.29CP
For the following computer problems, any appropriate software may be used. Input prompts should fully explain what is required of the user (the program should be user-friendly). The resulting output should be well labeled and self-explanatory.
17.29 Write a computer program that will solve for the normal stress and shear stress on any inclined plane in a uniaxially loaded member, such as the metal block of Example 17.9. User input is to be the cross-sectional area of the member, the axial load, and the inclination
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Problem #1: Re-evaluate the beam from the Module 3 homework. Recall that you determine the principal stresses
at point A and B on the beam.
Note: Assume the yield strength is 248 MPa.
Part A: Based on that information, determine if any of the failure criteria (Rankine's theory, Tresca criterion, and
Von Mises criterion) predict failure by yielding at either A or B. Present the factor of safety for all three criteria.
Part B: Based on the results of Part A and what we know about the failure surfaces of these three criteria, do these
computed factors of safety make sense? Where does this data point land on the failure surfaces?
20 kN
100 mm
10 kN
B 100 mm
100 mm
•B
|A
50 mm 50 mm
2 m
2 m
Hertz contact theory can be used to determine the stresses due to contact
between two spheres, which can be used approximate frictionless contact
between the patellar and femoral components of a total knee replacement.
Part a) Show on a sketch how the stresses at the surface vary from the centre of
contact to the edge of contact.
Part b) Make a sketch of an infinitesimal element of material at the centre of
contact that shows the stress components. Identify the maximum principal stress,
and write an expression for the maximum shear stress.
Part c) Sketch a graph that shows how the maximum contact pressure varies with
load and in a sentence explain why the curve has the shape it does.
Why is is that when I compute for the diameter, the answer is 7.9706? How was 13.22 obtained?
Bartleby link for solution:
https://www.bartleby.com/questions-and-answers/a-steel-rod-is-stretched-between-two-rigid-walls-and-carries-a-tensile-load-of-5000-n-at-20c.-if-the/5c99ed3b-d083-41be-a905-b15aa3bc8648
Chapter 17 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 17 - Prob. 17.1PCh. 17 - A horizontal 30-ft simple span beam is supported...Ch. 17 - A 1-in.-by-4-in, steel bar is subjected to the...Ch. 17 - A W410100 structural steel wide-flange section is...Ch. 17 - A W1272 structural steel wide-flange section is...Ch. 17 - A solid steel shaft 3 in. in diameter and 4 ft...Ch. 17 - A short compression member is subjected to a...Ch. 17 - With reference to Problem 17.7, calculate the...Ch. 17 - A section of a 51-mm-diameter standard-weight...Ch. 17 - For the pipe of Problem 17.9, compute the maximum...
Ch. 17 - A concrete pedestal is in the shape of a cube and...Ch. 17 - 17.12 For the pedestal of Problem 17.11, assume...Ch. 17 - 17.13 Rework Problem 17.11, but assume that the...Ch. 17 - A 12-in-square concrete pedestal is subjected to a...Ch. 17 - 17.15 A short compression member is subjected to a...Ch. 17 - A rectangular concrete footing, 4 ft by 8 ft in...Ch. 17 - The bending and shear stresses developed at a...Ch. 17 - Stresses developed at a point in a machine part...Ch. 17 - Calculate the principal stresses at points A and B...Ch. 17 - 17.20 Rework Problem 17.19 using P = 8000 lb and...Ch. 17 - 17.21 A 1-in.-square steel bar is subjected to an...Ch. 17 - 17.22 A bar having a cross-sectional area of 6...Ch. 17 - Rework Problem 17.22, changing the load to a...Ch. 17 - Solve Problem l7.17 using Mohr’s circle.Ch. 17 - For the elements shown in Problem 17.18, use...Ch. 17 - Solve Problem 17.19 using Mohr’s circle.Ch. 17 - In Problem 17.19, change the load to 8000 lb and...Ch. 17 - For the following computer problems, any...Ch. 17 - For the following computer problems, any...Ch. 17 - For the following computer problems, any...Ch. 17 - For the following computer problems, any...Ch. 17 - A 4-in.-by-8-in. (S4S) Douglas fir timber beam is...Ch. 17 - A horizontal flexural member (a girt) in the wall...Ch. 17 - A simply supported W1850 structural steel...Ch. 17 - A steel link in a machine is designed to avoid...Ch. 17 - 17.36 An 8-in-square (S4S) vertical timber post is...Ch. 17 - A short 3-in.-square steel bar with a...Ch. 17 - A timber member 150 mm by 250 mm (S4S) is loaded...Ch. 17 - A concrete wall 8 ft high and 3 ft thick is...Ch. 17 - 17.40 A short compression member is subjected to a...Ch. 17 - 17.41 Calculate the maximum eccentric load that...Ch. 17 - A short compression member is subjected to two...Ch. 17 - 17.43 Calculate the force P that may be applied to...Ch. 17 - 17.44 A load of 1000 lb is supported on a...Ch. 17 - 17.45 A short compression member is subjected to...Ch. 17 - 17.46 A structural steel wide-flange section is...Ch. 17 - 17.47 A cast-iron frame for a piece of industrial...Ch. 17 - 17.48 The assembly shown is used in a machine. It...Ch. 17 - 17.49 A 50-mm-diameter solid steel shaft is...Ch. 17 - An element of a machine member is subjected to the...Ch. 17 - 17.51 A short-span cantilever built-up beam has...Ch. 17 - Solve Problem 17.50 using Mohr’s circle.Ch. 17 - 17.53 A cantilever beam is subjected to an...Ch. 17 - A 6-in.-diameter solid shaft is subjected to a...Ch. 17 - Rework parts (b) and (c) of Example 17.7 using...
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
- PART A AND C ONLY SOLVE CAREFULLY!! Please Write Clearly and Box the final Answer(s) Use THE CORRECT UNITS) Express your answer to three significant figures and include appropriate units. DRAW THE FREE BODY DIAGRAM and label it for this problem as wellarrow_forwardTASK A hydraulic cylinder with a bore radius of 100 mm and an outer radius of 200 mm has been designed to withstand a maximum internal pressure of 200 MPa in service. During operation, the pressure within the cylinder is retained by a freely sliding piston. The steel used in the manufacture has Young's modulus of 210 GNm-2 Note: There is no axial stress generated in the cylinder wall in this application. 1. Elastic Stress Distributions in a Single Cylinder a) At an operating pressure of 200 MPa, calculate using Lame's equations the radial and circumferential stresses at the cylinder bore and the outer surface. Graphically present (sketch) the general form of variation of each of these stresses across the cylinder wall, clearly indicating the calculated values at the cylinder bore and at the outer surface. b) For the same operating pressure, calculate the maximum shear stress values at the cylinder bore and the outer surface. Hint: For axisymmetric problems, there are no shear stresses…arrow_forwardThe relationship where the stress is linear up to the proportional limitarrow_forward
- 3) A 25 mm solid round shaft is supported by self-aligning bearings at A and B (the bearings do not support axial loads). Two chain sprockets are attached to the shaft as shown. a. Find the force, F, on the 125 mm diameter sprockets. b. Construct the V-M-N-T diagrams for the shaft. c. Determine the shaft location with the most severe state of stress. d. Sketch the Mohr's circle and find the principal stresses at that location. A 125 mm dia. 50-mm dia. 75 mm 25mm dia. 5000 N 150 mm 75 mmarrow_forwardmethod is used to find stresses on an oblique plane of a member when it is subjected to stresses in different directions Select one: O a. Strain energy O b. Mohr's circle O C. Euler's O d. Moment Areaarrow_forwardThe force P is applied on the top of the solid cylindrical body which rests on a circular cap as shown below. Determine the smallest dimensions di, ds, and t required to support the load P. Use the table given below and your student ID to obtain the values of the force P and the allowable stresses for all the materials used in the problem (ie., Pand the allowable stresses are given). 30 mm allowable allowable tensile stress (kPa) allowable shear stress (kPa) Student bearing P(N) ID stress (kPa) 1000 175 300 155arrow_forward
- 3. Calculate the bearing stress and shear stress between the pin and each bracket of a clevis joint. Assume pin diameter of 10 mm, 40 mm wide gap link, 12 mm thick bracket, and 3550N tensile load. Draw a free body diagram (geometry & forces) Identify stress plane Calculate stress and write it (with appropriate units) in the outlined boxarrow_forwardCalculate the maximum and minimum normal stresses experienced by the lever indicated in the image.arrow_forwardAn element made of AISI 1020 CD steel is shown, but to shape it, it had to be machined. It must have a reliability of 99.9999%.It is subjected to the loads P₁= 200 pounds and P₂= 400 pounds; In others, the force in the "z" direction does not act, but the force in "y" remains with the same magnitude, but is completely reversed, in the positive and negative sense of the "y". Determine:to. The critical point of the system and for this establish the state of effort. Explainb. Apply Mohr's circle to the critical stress state and obtain σ1, σ2 and tmaxC Determine the safety factor and explain.arrow_forward
- Answer p1 and Part 2: Determine the shear force acting at each of the following locations:(a) x = 11.0- ft (i.e., just to the left of point B)(b) x = 11.0+ ft (i.e., just to the right of point B)(c) x = 28.5 ftNote that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.Answers: a) V = ____ kips b) V = ____ kips c) V = ____ kips Part 3: Determine the bending moment acting at each of the following locations:(a) x = 11.0 ft (i.e., at point B)(b) x = 28.5 ftNote that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. Answers: a) M = ____ kips-ft b) M = ____ kips-ft Part 4: Use your shear-force and bending-moment diagrams to determine the maximum bending moment, Mmax, and its location, xmax. Use the bending-moment sign convention detailed in Section 7.2.Answers: Mmax = ____ kips-ft xmax = ____ ftarrow_forwardProblem Solving: Show your Solution 1. A sculpture weighing 10,000 N rests on a horizontal surface at the top of a 6.0-m-tall vertical pillar. The pillar’s cross-sectional area is 0.20 m20.20 m2 and it is made of granite with a mass density of 2700kg/m3.2700kg/m3. Find the compressive stress at the cross-section located 3.0 m below the top of the pillar and the value of the compressive strain of the top 3.0-m segment of the pillar. 2. A 2.0-m-long steel rod has a cross-sectional area of 0.30cm2.0.30cm2. The rod is a part of avertical support that holds a heavy 550-kg platform that hangs attached to the rod’s lower end.Ignoring the weight of the rod, what is the tensile stress in the rod and the elongation of the rodunder the stress? 3. In a hydraulic press, a 250-liter volume of oil is subjected to a 2300-psi pressure increase. If the compressibility of oil is 2.0×10−5/atm,2.0×10−5/atm, find the bulk strain and the absolute decrease in the volume of oil when the press is operating.…arrow_forwardA square pedestal has glued parts at joints t, r, e, and s. Plane t-r-e-s is at anole of 30° from the vertical axis Given the following data: allowable pressive stress of 5.2 MPa in glued joint and Shear stress of 3.5 MPa. If the axial pedestal force is 36 kN. determine the safe width dimension in mm and the angle in degrees if the maximum shear stress will occur to the plane.arrow_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 Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering 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 COMBINED LOADING in 10 Minutes! Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=N-PlI900hSg;License: Standard youtube license