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
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- An assembly of a material consists of a brass shell fully bonded to a ceramic core. The brass shell has an outside diameter of 75mm and an inside diameter of 45mm same as the diameter of the ceramic core. At a temperature of 15°, the assembly is unstressed. Determine the largest temperature increase that is acceptable for the assembly if the normal stress in the longitudinal direction of the brass shell must not exceed 70MPa. Brass E=115GPa α = 18.7x10-6/°C Ceramic E=290GPa a = 3.1x10-6/°CThe thin-walled tube is used as a beam to support the uniformly distributed load of intensity w, as shown in the figure. a) Determine the largest allowable value of Wo if the working stress in bending is 100 MPa. b) Determine the maximum shear stress in the beam Wo -200mm V O A OC 195mm 1.2m B 2.4mQ-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..
- Q.7 A cylindrical shell 4 m in diameter, is made of 20 mm thick steel plates. The efficiency of longitudinal joint and circumferential joint are 0.88 and 0.7 respectively. If the maximum permissible tensile stress in the plate is 120 MPa, the safe pressure for the shell is (a) 2.12 MPa (b) 0.84 MPa (c) 1.05 MPa (d) 1.68 MPaConsider a single crystal oriented such that the slip direction and normal to the slip plane are at angles 42.7° and 48.3°, respectively, with the tensile axis. If the critical resolved shear stress is 26.3 MPa, what applied stress (in MPa) will be necessary to cause the single crystal to yield? i MPaQ. No .3 On the free surface of an aluminum [E = 10,000 ksi; v = 0.33] component, the strain rosette shown in the figure was used to obtain the following normal strain data: = -500 µɛ, E = -220 µe, and &e = +600 µɛ. Determine the normal stress that acts along an axis that is rotated at an angle of 0= 45° coun- terclockwise from the positive x axis. 60 60 60
- Wall thickness of a thin cylinder shell of 800 mm internal diameter is 10 mm. length of the cylinder is 2m. if the shell is subjected to an internal pressure of 1.5 MPa, determine the maximum shear stress.For the state of plane stress as shown in figure, the ratio of maximum in plane shear stress in xy plane to maximum in-plane shear stress in yz plane is 20 MPa 50 MPaThe maximum principal stress for the stress state shown in the figure is (a) o (b) 20 (c) 30 6 (d) 1.50
- A state of plane stress consists of an 8-ksi tensile stress (as shown) along with an unknownshear stress. Determine:(a) the magnitude of the shear stress, o, for which the largest normal stress is 10 ksi(b) the corresponding maximum shear stress in the material.In a plane stress condition, the principle stresses of 100 MPa (Compressive) and 50 MPa (Tensile) are acting on XY plane. The yield stress of material as per maximum shear stress theory if FOS is 2.5 isThe thin-walled tube is used as a beam to support the uniformly distributed load of intensity wo. (a) Find the largest allowable value of wo based on the allowable stress in bending of 100 MPa. 200 mm Wo - 1.2 m 2.4 m 195 mm