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3.33 A cylindrical steel tank 125 cm is diameter has a wall thick- ness of 6...
A strain gauge affixed to the outside of a cylindrical pressure vessel at an angle of...
A strain gauge affixed to the outside of a cylindrical
pressure vessel at an angle of θ = 35° reads ε = 400 μm/m. The
outside diameter of the vessel is 500mm and the wall thickness is 5
mm. If the veseel is constructed of A36 steel, determine the
following:
a) The hoop and longitudinal stresses in the tank.
Hints: To solve you will need to consider the equations for
strain transform and generalized Hooke’s Law. The hoop and
longitudinal...
8.5-8 A pressurized cylindrical tank with flat ends is loaded by torques Tand tensile forces P...
8.5-8 A pressurized cylindrical tank with flat ends is loaded by torques Tand tensile forces P (see figure). The tank has a radius of r = 125 mm and wall thick- ness t 6.5 mm. The internal pressure p = 7.25 MPa and the torque T = 850 N·m. (a) What is the maximum permissible value of the forces P if the allowable tensile stress in the wall of the cylinder is 160 MPa? (b) If forces P 400 kN,...
n 1 A cylindrical pressure vessel is fabricated from steel plating that has a diameter of...
n 1 A cylindrical pressure vessel is fabricated from steel plating that has a diameter of 1.5 m, and is subjected to an internal pressure of 2.5 MPa. Calculate its safe wall thickness if the longitudinal stress is limited to 70 MPa. out of
Problem 1. A I meter inner diameter steel pressure tank with 8 mm wall thickness is...
Problem 1. A I meter inner diameter steel pressure tank with 8 mm wall thickness is subject to a internal pressure of 1.5 MPa and due to the piping weight a torsion of 10 Nm is acting as shown in the figure. The length of the cylinder is 3 meters. Determine: The state of stress in the cylinder wall The state of stress if the normal Cartesian system is rotate 250 The principal stress and the principal angle. The maximum...
Problem 1. A 1 meter inner diameter steel pressure tank with 8 mm wall thickness is...
Problem 1. A 1 meter inner diameter steel pressure tank with 8 mm wall thickness is subject to a internal pressure of 1.5 MPa and due to the piping weight a torsion of 10 N.m is acting as shown in the figure. The length of the cylinder is 3 meters. Determine: The state of stress in the cylinder wall The state of stress if the normal Cartesian system is rotate 25° The principal stress and the principal angle. The maximum...
A cylindrical tank holding oxygen at 5000 kPa pressure has an outside diameter of 500 mm...
A cylindrical tank holding oxygen at 5000 kPa pressure has an outside diameter of 500 mm and a wall thickness of 10 mm. It has been determined that a critical point on the tank is subjected to the tensile stress of 465 MPa in x-direction, compressive stress of 350 MPa in y-direction and shearing stress of 600 MPa. By using Mohr’s Circle; Sketch the plane stresses element for the critical point. Determine the principal stresses and their locations. Determine the...
A cylindrical tank holding oxygen at 4000 kPa pressure has an outside diameter of 500 mm and a wa...
A cylindrical tank holding oxygen at 4000 kPa pressure has an outside diameter of 500 mm and a wall thickness of 10 mm. It has been determined that a critical point on the tank is subjected to the tensile stress of 464 MPa in x-direction, compressive stress of 340 MPa in y-direction and shearing stress of 600 MPa. By using Mohr’s Circle; Sketch the plane stresses element for the critical point. Determine the principal stresses and their locations. Determine the...
A cylindrical pressure vessel of 250 mm mean diameter and 6 mm wall thickness is fabricated...
A cylindrical pressure vessel of 250 mm mean diameter and 6 mm
wall thickness is fabricated from a 1.2 m length of spirally welded
pipe AB as shown. Tank gauge pressure is 4 MPa and centric axial
forces P and P1 of 240 kN act through rigid end plates. Determine:
(a) Net longitudinal and hoop stresses. (b) Normal stress acting
perpendicular to weld and shear stress parallel to weld (show
sketch of Mohr’s circle). (c) Determine the Factor of Safety...
P B A pressurized cylindrical air tank is subjected to a force P at a collar...
P B A pressurized cylindrical air tank is subjected to a force P at a collar B. The tank has an inner diameter (d = 160 mm) with wall thickness (1 = 6 mm). The gage pressure inside the tank is p = 5 MPa and the applied force is P = 9.5 kN. (a) Determine the maximum tensile stress o [MPa), maximum compressive stress oc [MPa] and maximum shear stress imax [MPa) at point a. (b) Repeat part (a)...
P Problem 3 (30 pts): Combined Loading A pressurized cylindrical air tank is subjected to a...
P Problem 3 (30 pts): Combined Loading A pressurized cylindrical air tank is subjected to a force P at a collar B. The tank has an inner diameter (d= 160 mm) with wall thickness (t = 6 mm). The gage pressure inside the tank is p = 5 MPa and the applied force is P=9.5 kN. B 450 mm (a) Determine the maximum tensile stress 0 [MPa], maximum compressive stress oc [MPa] and maximum shear stress Tmax [MPa] at point...
A strain gauge affixed to the outside of a cylindrical
pressure vessel at an angle of θ = 35° reads ε = 400 μm/m. The
outside diameter of the vessel is 500mm and the wall thickness is 5
mm. If the veseel is constructed of A36 steel, determine the
following:
a) The hoop and longitudinal stresses in the tank.
Hints: To solve you will need to consider the equations for
strain transform and generalized Hooke’s Law. The hoop and
longitudinal...
8.5-8 A pressurized cylindrical tank with flat ends is loaded by torques Tand tensile forces P (see figure). The tank has a radius of r = 125 mm and wall thick- ness t 6.5 mm. The internal pressure p = 7.25 MPa and the torque T = 850 N·m. (a) What is the maximum permissible value of the forces P if the allowable tensile stress in the wall of the cylinder is 160 MPa? (b) If forces P 400 kN,...
n 1 A cylindrical pressure vessel is fabricated from steel plating that has a diameter of 1.5 m, and is subjected to an internal pressure of 2.5 MPa. Calculate its safe wall thickness if the longitudinal stress is limited to 70 MPa. out of
Problem 1. A I meter inner diameter steel pressure tank with 8 mm wall thickness is subject to a internal pressure of 1.5 MPa and due to the piping weight a torsion of 10 Nm is acting as shown in the figure. The length of the cylinder is 3 meters. Determine: The state of stress in the cylinder wall The state of stress if the normal Cartesian system is rotate 250 The principal stress and the principal angle. The maximum...
Problem 1. A 1 meter inner diameter steel pressure tank with 8 mm wall thickness is subject to a internal pressure of 1.5 MPa and due to the piping weight a torsion of 10 N.m is acting as shown in the figure. The length of the cylinder is 3 meters. Determine: The state of stress in the cylinder wall The state of stress if the normal Cartesian system is rotate 25° The principal stress and the principal angle. The maximum...
A cylindrical pressure vessel of 250 mm mean diameter and 6 mm
wall thickness is fabricated from a 1.2 m length of spirally welded
pipe AB as shown. Tank gauge pressure is 4 MPa and centric axial
forces P and P1 of 240 kN act through rigid end plates. Determine:
(a) Net longitudinal and hoop stresses. (b) Normal stress acting
perpendicular to weld and shear stress parallel to weld (show
sketch of Mohr’s circle). (c) Determine the Factor of Safety...
P B A pressurized cylindrical air tank is subjected to a force P at a collar B. The tank has an inner diameter (d = 160 mm) with wall thickness (1 = 6 mm). The gage pressure inside the tank is p = 5 MPa and the applied force is P = 9.5 kN. (a) Determine the maximum tensile stress o [MPa), maximum compressive stress oc [MPa] and maximum shear stress imax [MPa) at point a. (b) Repeat part (a)...
P Problem 3 (30 pts): Combined Loading A pressurized cylindrical air tank is subjected to a force P at a collar B. The tank has an inner diameter (d= 160 mm) with wall thickness (t = 6 mm). The gage pressure inside the tank is p = 5 MPa and the applied force is P=9.5 kN. B 450 mm (a) Determine the maximum tensile stress 0 [MPa], maximum compressive stress oc [MPa] and maximum shear stress Tmax [MPa] at point...
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