Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 10.6, Problem 30P
For the case of plane stress, show that Hooke’s law can be written as
Expert Solution & Answer
Trending nowThis is a popular solution!
Learn your wayIncludes step-by-step video
schedule05:26
Students have asked these similar questions
A round Steel rod of 100 mm diameter is bent into an arc of radius 100m. What is the maximum stress in the rod? Take E = 2x10³ N/mm²
O a. 20 x 105 N/mm²
O b. 100 N/mm²
O c. 10 x 10 N/mm²
O d. 200 N/mm²
A sheet of steel is stretched biaxially in the xy-plane. The strains in the sheet are described below. Determine the stresses along the x and y axes. Use E=200 GPa and v=0.28
Ex = 0.4 x 10‐³
Ey = 0.3 x 10‐³
Rigid bar ABCD is supported by two bars as shown.
There is no strain in the vertical bars before load P is
applied. After load P is applied, the normal strain in bar
(2) is measured as −3,300 μm/m. Use the dimensions L1
= 1,600 mm, L2 = 1,200 mm, a = 240 mm, b = 420 mm,
and c = 180 mm. Determine
(a) the normal strain in bar (1).
(b) the normal strain in bar (1) if there is a 1 mm
gap in the connection at pin C before the load is applied.
(c) the normal strain in bar (1) if there is a 1 mm
gap in the connection at pin B before the load is applied.
Chapter 10 Solutions
Mechanics of Materials
Ch. 10.3 - Prove that the sum of the normal strains in...Ch. 10.3 - The state of strain at the point on the arm has...Ch. 10.3 - The state of strain at the point on the leaf of...Ch. 10.3 - Use the strain transformation equations and...Ch. 10.3 - Determine the equivalent state of strain on an...Ch. 10.3 - Determine the equivalent state of strain which...Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Determine the equivalent state of strain, which...Ch. 10.3 - Solve Prob.103 using Mohrs circle. 103. The state...Ch. 10.5 - The strain at point A on the bracket has...
Ch. 10.5 - Determine (a) the principal strains at A, (b) the...Ch. 10.6 - For the case of plane stress, show that Hookes law...Ch. 10.6 - to develop the strain tranformation equations....Ch. 10.6 - Determine the associated principal stresses at the...Ch. 10.6 - Determine the applied load P. What is the shear...Ch. 10.6 - If a load of P = 3 kip is applied to the A-36...Ch. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - Solve Prob. 1061 using the maximum distortion...Ch. 10.7 - Solve Prob.1063 using the maximum distortion...Ch. 10.7 - Prob. 70PCh. 10.7 - The plate is made of Tobin bronze, which yields at...Ch. 10.7 - If a machine part is made of titanium (TI-6A1-4V)...Ch. 10.7 - The components of plane stress at a critical point...Ch. 10.7 - If Y = 50 ksi, determine the factor of safety for...Ch. 10.7 - Prob. 82PCh. 10.7 - If the yield stress for steel is Y = 36 ksi,...Ch. 10.7 - Prob. 84PCh. 10.7 - The state of stress acting at a critical point on...Ch. 10.7 - The shaft consists of a solid segment AB and a...Ch. 10 - In the case of plane stress, where the in-plane...Ch. 10 - The plate is made of material having a modulus of...Ch. 10 - If the material is machine steel having a yield...Ch. 10 - Determine if yielding has occurred on the basis of...Ch. 10 - The 60 strain rosette is mounted on a beam. The...Ch. 10 - Use the strain transformation equations to...Ch. 10 - If the strain gages a and b at points give...Ch. 10 - Use the strain-transformation equations and...Ch. 10 - Use the strain transformation equations to...Ch. 10 - Specify the orientation of the corresponding...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
3.26 through 3.29 Determine the magnitude of the resultant of the parallel force systems shown. Locate the resu...
Applied Statics and Strength of Materials (6th Edition)
What parts are included in the vehicle chassis?
Automotive Technology: Principles, Diagnosis, and Service (5th Edition)
Also, determine the proper placement x of the hook for equilibrium. Neglect the weight of the beam. Prob. F6-18
Engineering Mechanics: Statics
1. In 2001 , the first iPodTM by Apple had a rated battery life of 10 hours (h) to run audio files. The 6th mod...
Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
Determine the reactions at the supports. Prob. 4-6
Statics and Mechanics of Materials (5th Edition)
Convert a volume flow rate of 3.0 gal/min to rrP/s.
Applied Fluid Mechanics (7th Edition)
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
- If the displacements applied to a 3D isotropic material element is defined as functions of (x,y,z), Determine the following: 1- Stress at point (2,3,4). Assume E = 12.08 MPa and v = 0.25 2- Strain at point (1,2,2) 3- If you consider a plane stress condition for the above problems show how will the 2D assumption change the stress at the same pointarrow_forwardThe prismatic bar has a cross-sectional area A. If it is subjected to a distributed axial loading that increases linearly from w = 0 at x = 0 to w = w0 at x = a, and then decreases linearly to w = 0 at x = 2a, determine the average normal stress in the bar as a function of x for a 6 x … 2a.arrow_forwardFor the given plane strain state, use Mohr's circle to determine the strain state associated with the x' and y' axes rotated to θ indicated in the table: \epsilon_x \epsilon_y \gamma_{xy} θ -500\mu 250\mu 120\mu -15°arrow_forward
- For some element, the displacement is obtained as u = [1 + 3x +4y +5xy]x10^(-3) mm. The normal strain along x-axis at point (1.2, 0.8) m located inside the element isarrow_forward2.Show that volumetric strain in a bar is equal to the sum of strains in three mutually perpendicular directions. 3. Explain the terms: (i) Modulus of elasticity (ii) Modulus of rigidity and (ii) Bulk modulus. 4. Derive the relationship between (i) Modulus of elasticity and modulus of rigidity (ii) Modulus of elasticity and bulk modulusarrow_forwardIn many situations physical constraints prevent strain from occurring in a given direction. For example, εz= 0 in the case shown, where longitudinal movement of the long prism is prevented at every point. Plane sections perpendicular to the longitudinal axis remain plane and the same distance apart. Show that for this situation, which is known as plane strain, we can express σz, εx, and εy as followsarrow_forward
- A rectangular titanium plate has the followingdimensions. a = 20 mm, b = 15 mm, and c=5 mm. Uniformly distributed tensile forces of 7.50 kN act in the z direction. Determine the strains in the x, y, and z directions. Let E = 120 GPa, and v = 0.35.arrow_forwardF is being held by two cables AB and CB. If the applied force P creates a displacement at point E equal to 3 mm, calculate the strain in cable CB and AB.arrow_forward7) The strain of a component, which has a tensile modulus of 4 X 105 MPa, and subjected to a stress of 6000KPa, is a. 0.000015 b. 0.00015 c. 0.00003 d. 0.003arrow_forward
- When the state of strain is represented by the principal strains, no shear strain will act on the element. True or False?arrow_forwardQ1: The stresses measured at a point on bone are oy =5 MPa ,o, = -7 MPa and 1,,=2.4 MPa find: 1. The principal strains and maximum shear strain. 2. The strain energy . Knowing that the poisonratio v=0.3 and the unit volume change =5.6x10arrow_forwardIf a rubber material is deformed as shown in the following figure, determine the normal strain along diagonal BD. C 2 mm 4 mm 15 mm A 15 mm Select one: O 0.0382 O 0.0853 O 0.0607 A O 0.0793 O 0.1281arrow_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 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