Determine-- 1)maximum in-plane shear stress in Mpa. 2)direction of maximum shear stress in degree.

An external pressure of 10 MPa is applied to a closed-end thick cylinder of internal diameter 160 mmand external diameter 320 mm. The maximum hoop stress permitted on the inside wall of the cylinderis limited to 30 MPa. The cylinder has the mechanical properties of E = 207 GPa and v = 0.3.a) What is the maximum internal pressure that can be applied?b) Determine the maximum shearing stress (absolute) in the cylinder.c) Calculate the change in outside diameter when the pressures are applied

The gap between the aluminum bar AB and the magnesium bar 0.2 m 0.25 m CD is 0.4 mm when the temperature is at 20° C. A C B D a) Determine the temperature required to just close the gap. Aluminum Magnesium b) Determine the normal stress developed in the bars if the temperature rises to 120° C. c) Determine the change in the length of the bar CD. (T2 =120° C) Given: Eal = 70 GPa, Emg= 45 GPa, Aal =23 (10-)/ C, Aal = 500 mm², Amg =26 (10-6)/C, Amg =1200 mm2

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2. In one specific point in a structure, the stress state is as pictured on the differential element. Calculate a) Principal stresses and their angle of orientation b) Absolute maximum shear stress.

a) Calculate the reaction forces in terms of F andtheta.b) Calculate the internal shear force and moment as a function of x using cuts and summingforces and moments in terms of F, L, andtheta.c) Calculate the shear force and moments by integration in terms of x, L, F andtheta.d) Assuming a rectangular cross section compute the average normal stress for the case F =10kNat 30° where b =0.04 m, h = 0.08 m, at the point x = L/4, L = 1 m at the centroid.e) With the cross section given above compute the average normal stress for the case F =10kN at30° at the point x = L/4, L = 1 m at each surface of the beam.f) Calculate the shear stress at the top and bottom surface, at the neutral axis and at x = 0.25 mand y = 0.02 m above the neutral axis.

A solid shaft with a diameter of 20 mm is shown below. The shaft is fixed at points A and B. In the diagram, L- 1.6 m, T- 200 N-m, and T2- 450 N-m. a) Draw a torque diagram for this shaft. b) Determine the maximum shear stress in the shaft. D 0.3 m T В 0.2 m

A wooden dowel is subjected to a shearing force of 715N on its top cylindrical face. If the dowel has a diameter of 3.00cm and a height of 11.0cm. a) find the stress on the dowel. b) find the strain on the dowel. c) find the shear deformation of the dowel. The wooden dowel has a shear modulus of 6.85x1010 Pa.

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If the allowable normal stress is 120MPa and the allowable shear stress is 60MPa, what is the diameter (mm) of the A premium?