Determine the maximum value of Pmax that can be supported by the structure.
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- A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas. Calculate maximum permissible pressure in the balloon if the allowable normal strain at the outer surface of the balloon is O.h Assume E = 4 MPa and v = 0,45.The d = 16-mm-diameter solid rod passes through a D = 21-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 10 mm. The rod head has a diameter of a = 32 mm, and the head has a thickness of t = 10 mm. The shear stress in the rod head cannot exceed 140 MPa, the punching shear stress in the support plate cannot exceed 90 MPa, and the bearing stress between the rod head and the support plate cannot exceed 125 MPa. Determine the maximum value of Pmax that can be supported by the structure.The d = 16-mm-diameter solid rod passes through a D = 21-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 10 mm. The rod head has a diameter of a = 32 mm, and the head has a thickness of t = 10 mm. The shear stress in the rod head cannot exceed 135 MPa, the punching shear stress in the support plate cannot exceed 80 MPa, and the bearing stress between the rod head and the support plate cannot exceed 155 MPa. Determine the maximum value of Pmax that can be supported by the structure. Support Plate Rod Answer: Pmax= i Hole diameter D Head kN a
- The d = 15-mm-diameter solid rod passes through a D = 20-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 10 mm. The rod head has a diameter of a = 30 mm, and the head has a thickness of t = 11 mm. The shear stress in the rod head cannot exceed 140 MPa, the punching shear stress in the support plate cannot exceed 105 MPa, and the bearing stress between the rod head and the support plate cannot exceed 130 MPa. Determine the maximum value of Pmax that can be supported by the structure. Support Plate Hole diameter D t Rod Answer: Pmax Mi -0 Head KN b→ aThe d = 17-mm-diameter solid rod passes through a D = 22-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 11 mm. The rod head has a diameter of a = 34 mm, and the head has a thickness of t= 10 mm. The shear stress in the rod head cannot exceed 145 MPa, the punching shear stress in the support plate cannot exceed 95 MPa, and the bearing stress between the rod head and the support plate cannot exceed 125 MPa. Determine the maximum value of Pmax that can be supported by the structure. Support Plate -Hole diameter D a Rod Нead Answer: Pmax i kNThe d = 13-mm-diameter solid rod passes through a D = 18-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 13 mm. The rod head has a diameter of a = 26 mm, and the head has a thickness of t = 11 mm. The shear stress in the rod head cannot exceed 125 MPa, the punching shear stress in the support plate cannot exceed 105 MPa, and the bearing stress between the rod head and the support plate cannot exceed 155 MPa. Determine the maximum value of Pmax that can be supported by the structure. Support Plate Rod Answer: Pmax= i Hole diameter D Head KN P b t
- The d = 16-mm-diameter solid rod passes through a D = 21-mm-diameter hole in the support plate. When a load Pis applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 11 mm. The rod head has a diameter of a = 32 mm, and the head has a thickness of t= 10 mm. The shear stress in the rod head cannot exceed 135 MPa, the punching shear stress in the support plate cannot exceed 80 MPa, and the bearing stress between the rod head and the support plate cannot exceed 130 MPa. Determine the maximum value of Pmax that can be supported by the structure. Support Plate - Hole diameter D d a Rod Неad bThe vertical shaft with a diameter of d = 20 mm is supported by a thrust collar that rests on a 21-mm-thick plate. The thrust collar is 16-mm thick. Assume that the load P causes a compressive stress of 190 MPa in the shaft. If the bearing stress between the thrust collar and the plate is limited to 35 MPa, determine the minimum outer diameter Dcollar that must be used for the thrust collar. Thrust collar area Plate Thrust collar d DcollarThe bell-crank mechanism is in equilibrium for an applied load of F₁ = 18 kN applied at A. Assume a = 290mm, b = 170mm, c = 70mm, and 0 = 35°. Pin B is in a double-shear connection and has a diameter of 23 mm. The bell crank has a thickness of 37 mm. Determine (a) the shear stress in pin B. (b) the bearing stress in the bell crank at B. Support bracket Answers: Tpin 8 = i Bell crank i a B MPa MPa F₂
- The d = 13-mm-diameter solid rod passes through a D=21-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 12 mm. The rod head has a diameter of a = 28 mm, and the head has a thickness of t = 8 mm. If the normal stress produced in the rod by load P is 150 MPa, determine (a) the bearing stress acting between the support plate and the rod head. (b) the average shear stress produced in the rod head. (c) the punching shear stress produced in the support plate by the rod head. Support Plate Hole diameter D Rod Head b Calculate the cross-sectional area of the rod. Answer: Arod mm²The bell-crank mechanism is in equilibrium for an applied load of F₁ = 13 kN applied at A. Assume a = 320mm, b = 130mm, c = 80mm, and = 45°. Pin B is in a double-shear connection and has a diameter of 31 mm. The bell crank has a thickness of 25 mm. Determine (a) the shear stress in pin B. (b) the bearing stress in the bell crank at B. Bell crank Support bracket Answers: Tpin B = i Ob = a B b MPa MPaThe d = 15-mm-diameter solid rod passes through a D = 20-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 15 mm. The rod head has a diameter of a = 30 mm, and the head has a thickness of t = 9 mm. If the normal stress produced in the rod by load P is 200 MPa, determine (a) the bearing stress acting between the support plate and the rod head. (b) the average shear stress produced in the rod head. (c) the punching shear stress produced in the support plate by the rod head. Support Plate Hole diameter D Rod Head Calculate the cross-sectional area of the rod. Answer: Arodi mm²