Problem 2: A pressure vessel with p = 200 psi internal pressure is subjected also to a twisting moment T = 450 kips in. The vessel has an internal diameter of 20 in and a wall thickness of 0.25 in. L a) Draw a Mohr's circle for an element on the front surface, as shown, and determine the principle stresses. b) Determine whether the in-plane maximum shear stress is equal to the absolute maximum shear stress. c) Determine the tensile yield strength of a ductile material which has a factor of safety of 5 for this loading. Use the maximum shear stress theory.

Problem 2: A pressure vessel with p = 200 psi internal pressure is subjected also to a twisting moment T = 450 kips in. The vessel has an internal diameter of 20 in and a wall thickness of 0.25 in. L a) Draw a Mohr's circle for an element on the front surface, as shown, and determine the principle stresses. b) Determine whether the in-plane maximum shear stress is equal to the absolute maximum shear stress. c) Determine the tensile yield strength of a ductile material which has a factor of safety of 5 for this loading. Use the maximum shear stress theory.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.2.2P: Solve the preceding problem for an element in plane stress on the bottom surface of a fuel tanker...

See similar textbooks

Similar questions

The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.
A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is.....
A body is subjected to a direct tensile stress of 300 MPa in one plane accompained by a simple shear stress of 200 MPa. Determine maximum normal stress on the plane.
A point On a free surface of a machine point (E = 214Gpa, G= 83Gpa) the stress state is shown on the diagram below Determine all three principle stresses, the average normal stress, the max in plane shear stress, and the absolute max shear stress
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 12 ksi, Sy = 17 ksi, and Sxy = 18 ksi.(a) Draw Mohr’s circle for this state of stress.(b) Determine the principal stresses (σp1>σp2σp1>σp2) and the maximum in-plane shear stress τmaxτmax acting at the point.(c) Find the smallest rotation angle θpθp (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
For a steel rod with a circular cross section with a diameter of D = 20 mm, the following is required: 1. Draw a diagram of the longitudinal force 2. Draw a diagram of normal stresses 3. Determine the total elongation of the rod if Е = 2∙10^5 MPa When calculating, take: а = 2 m, b =1.2 m, F=10 кN - The point of application of force! The work must be done on one sheet of A4 paper, which must show: - Using the method of sections to determine the longitudinal forces in the rod. - Draw a diagram of longitudinal forces N - Determination of normal stresses based on the constructed plot of longitudinal forces. - Draw diagram a normal stresses - Determination of the full extension of the rod
A clevis-type pipe hanger supports an 8-in.-diameter pipe, as shown in Figure. The hanger rod has a diameter of 1/2 in. The bolt connecting the top yoke and the bottom strap has a diameter of 5/8 in. The bottom strap is 3/16 in. thick by 1.75 in. wide by 36 in. long. The weight of the pipe is 2,000 lb. Determine the following: (a) the normal stress in the hanger rod, (b) the shear stress in the bolt, (c) the bearing stress in the bottom strap. Show FBD
A clevis-type pipe hanger supports an 8-in.-diameter pipe, as shown in Figure. The hanger rod has a diameter of 1/2 in. The bolt connecting the top yoke and the bottom strap has a diameter of 5/8 in. The bottom strap is 3/16 in. thick by 1.75 in. wide by 36 in. long. The weight of the pipe is 2,000 lb. Determine the following: (a) the normal stress in the hanger rod, (b) the shear stress in the bolt, (c) the bearing stress in the bottom strap.
A shaft attached to 1900 N flywheel at distance of 400 mm from A and the shaft is rotated by a pulley that has tension as in the below figure. Determine the state of stress at point A on the cross section of the shaft at section a-a
A simply supported wood beam is subjected to uniformly distributed load q. The width of the beam is 6 in, and the height is 8 in. Determine the normal stress and the shear stress at point C. Show these stresses on a sketch of a stress element at point C.
A composite square member of varying sizes is subjected to axial forces along its centerline, as shown. The members' cross-sectional dimensions, from smaller to larger, are 50 mm ´ 50 mm, 75 mm ´ 75 mm, and 100 mm ´ 100 mm, respectively. (a) What are the normal stresses (in MPa) induced in the bar material at Section A-A, Section B-B, Section C-C? (b) What are the changes in the axial (4.28 ft), width (100mm), and thickness (100 mm) direction (in mm), at Section C-C? Assume n = 0.25 and E = 200,000 MPa., 1 ft = 0.3048 m
A typical stainless steel cylindrical vessel is shown. The inside diameter of the tank is 48.0 in. and the wall thickness is 0.75 in. The tank is pressurized to 1.40 ksi. Determine the absolute maximum shear stress on the inner surface of the cylinder wall.