A strain gage having a length of 20 mm Is attached to it, and it is observed to increase In length by 0.012 mm when the vessel is pressurized. Determine the pressure causing this deformation, and find the maximum in-plane shear stress, and the absolute maximum shear stress at a point on the outer surface of the vessel. The material is steel, for which Est = 200 GPa and vst = 0.3.
Want to see the full answer?
Check out a sample textbook solutionChapter 10 Solutions
Mechanics of Materials (10th Edition)
Additional Engineering Textbook Solutions
HEAT+MASS TRANSFER:FUND.+APPL.
Vector Mechanics for Engineers: Statics and Dynamics
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
Automotive Technology: Principles, Diagnosis, And Service (6th Edition) (halderman Automotive Series)
Engineering Mechanics: Dynamics (14th Edition)
Engineering Mechanics: Statics & Dynamics (14th Edition)
- The yoke-and-rod connection is subjected to a tensile force of 15 kN. Determine the average normal stress in each rod and the average shear stress in the pin A between the members. Finally, find the shear strain in pin A. Take Gsteel= 75GPaarrow_forwardTwo fully loaded tractor trailers travel over the bridge putting substantial loading on the structure. As they pass over the middle of the bridge, one of the vertical supporting pillars, which is fixed at its bottom, deforms as shown below. The weight of the trucks causes point T to move to point T'—a distance of 2.5 cm along the x-axis. If the pillar has an original height of 27 m , find the shear strain at point T.arrow_forwardThe strain at a point is 780x10-6 in the x, 400x10-5 in the y and -500x10-6 in the z direction. Determine the stress state if the Young's modulus is 10,640 ksi and v = 0.33.arrow_forward
- A 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_forwardA rectangular aluminum plate of uniform thickness has a strain gauge at the center. It is placed in a test rig which can apply a biaxial force system along the edges of the plate as shown below. If the measured strains are +0.0005 and +0.001 in the x and y directions respectively, a) Determine the corresponding stresses set up in the plate and the strain through the thickness, εz. Take E=72 GPa and ν=0.32. b) Construct the Mohr’s circle for the loaded plate. c) State the values of the principal stresses. d) Determine the maximum shearing stresses and the directions of the planes on which they occur.arrow_forwardThe 45° strain rosette is mounted on the surface of a pressure vessel. The following readings are obtained for each gage: Pa = 475(10-6), Pb = 250(10-6), and Pc = -360(10-6). Determine the in-plane principal strainsarrow_forward
- A spherical rubber balloon is blown up until its diameter is three times the initial diameter. If E = 10750 psi and v=0.46, determine the stresses in the balloon. Assume the stress-strain behavior is linear. Answer: 0 = i ksiarrow_forward3arrow_forwardDetermine the normal strains at the point associated with the x and y axes. Determine the shear strain at the point associated with the x and y axes. Determine the normal stresses at the point associated with the x and y axes. Determine the shear stress at the point. Determine the normal stress that acts along an axis rotated at θ= 45° counterclockwise from the positive x-axis.arrow_forward
- The state of strain at the point on the gear tooth has components €x = 850(106), €y = 480(106), Yxy = 650(106). Use the strain-transformation equations to determine (a) the in-plane principal strains and (b) the maximum in-plane shear strain and average normal strain. In each case specify the orientation of the element and show how the strains deform the element within the x-y plane.arrow_forwardPleasearrow_forwardThe bar has a 100 mm by 15 mm rectangular cross section. The allowable normal and shear stresses on inclined 66° surface a – a must be limited to 50 MPa and 35 MPa, respectively. Determine the 100 mm magnitude of the maximum axial force P that can be applied to the bar, and determine the actual normal and shear Try one stresses acting on inclined plane a – a.arrow_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