Concept explainers
For the case of plane stress, show that Hooke’s law can be written as
Trending nowThis is a popular solution!
Learn your wayIncludes step-by-step video
Chapter 10 Solutions
Mechanics of Materials (10th Edition)
Additional Engineering Textbook Solutions
Applied Statics and Strength of Materials (6th Edition)
Automotive Technology: Principles, Diagnosis, and Service (5th Edition)
Engineering Mechanics: Statics
Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
Statics and Mechanics of Materials (5th Edition)
Applied Fluid Mechanics (7th Edition)
- A thin wire, lying along the x axis, is strained such that each point on the wire is displaced Δx = kx2 along the x axis. If k is constant, what is the normal strain at any point P along the wire?arrow_forwardFour stress elements are shown below. All members have the same value for E (Young’s Modulus) and ν (Poisson’s ratio). Rank the members from largest to smallest absolute value of the normal strain in the y direction.arrow_forwardDetermine the transverse strain in the x axis of the solid subjected to longitudinal tension. 4 cm 1 cm 6x10³ N 2 cm μ = 0,28 E=1,4x10" N/m² 6x10³ Narrow_forward
- The state of stress at a point in a member is shown on the rectangular stress element; the magnitudes of the stresses are |σx|=66 MPa, |σy|=39 MPa|, and |τxy|=71 MPa. Using the stress-transformation equations, determine the state of stress on the inclined plane AB.arrow_forwardThe state of plane strain on an element is represented by the following components: Ex =D340 x 10-6, ɛ, = , yxy Ey =D110 x 10-6, 3D180 x10-6 ху Draw Mohr's circle to represent this state of strain. Use Mohrs circle to obtain the principal strains and principal plane.arrow_forwardA 23 mm diameter bronze bar 2.8 m long is placed between two rigid walls. At a temperature of -3°C, the gap Δ = 4.6 mm. Find the temperature(at degree-Celsius) at which the compressive stress in the bar will be 34 MPa. Use α = 18.09 × 10-6 m/(m·°C) and E = 82 GPa. Answer in two decimal places. Numerical values only. Don't indicate units here, just on the submitted solution.arrow_forward
- Determine the maximum normal stress on a transverse plane in the straight portion of the structure shown below and clearly indicate where it occurs. The member is braced in the plane perpendicular to the plane of symmetry. Consider (a) Section B-B shown below at the left (symmetric section).(b) Section B-B shown below (unsymmetric).arrow_forward4. For a state of biaxial strain (ε biax) in a linear-elastic isotropic material, what are the corresponding stresses? How would this change if the Poisson's ratio was zero? Briefly explain why. Assume standard material constants E, v, λ, etc. Γε Ebiax=0 01 bod 000 0 LO 0 0arrow_forward8000 mm3 aluminium cube is stressed in 3 mutually perpendicular direction x,y and z. The stresses in these directions are σx = 50 kPaσy = 80 kPaσz = -100 kPaDetermine the volumetric strain and change in volume. ν is 0.34 and E is 71 GPaarrow_forward
- A displacement field in a body is given by u =c(x' +10) v = 2cyz =(-xy+2') w = where c = 104. Determine the state of strain and stress on an element positioned at (0, 2, 1). Use E = 70 GPa and v 0.3.arrow_forwardA 60 ̊ strain rosette measures the following strain at a point on the aluminum skin of an airplane. ε0 = 160 ×10-6 m/m, ε60 = -220 ×10-6 m/m and ε120 = 360 ×10-6 m/m. Using E= 10 ×106 psi and v = 0.3, Determine the principle stresses and the maximum in-plane shear stress.arrow_forwardIn which of the following regions does the inelastic behavior of a material start to occur a. Necking region b. Elastic region c. Yielding region d. Strain hardening regionarrow_forward
- 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