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- A flywheel has a rim weight of 480 kg and mean radius of 480 mm. If the rim width is 6 times the rim thickness and material density is 7300 kg/m^3, calculate for the width of the flywheel. Answer = 361.7 mmThe rod BD is made of material with G1= 33 GPa has a diameter 46 mm is bonded to the tube CA at point B, the tube made of material with G2=56 GPa has an outer diameter 97 mm and wall thickness of 8 mm. If T1=1268 N.m and T2=2282 N.m, answer the following questions: The polar moment of inertia of the rod BD is The polar moment of inertia of the tube CA is The maximum shear stress of the rod BD is The maximum shear stress of the tube CA is The maximum shear stress of the assembly is The angle of twist between D and B is The angle of twist between C and A is The angle of twist at D is The angle of twist between C and B is The reaction at point A isa) A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous. b) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (σmax) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.
- a) A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous. b) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (?max) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.The three-bar truss in Fig. a is subjected to a horizontal force of 5 kip. If the cross-sectional area of each member is 0.20 in2, determine the horizontal displacement at point B. E = 29(103) ksi.A caravan weighs 28 kN. It has a wheel base of 2 m, track width 1m and height ofC.G. 300 mm above the ground level and lies midway between the front andrear axle. The engine flywheel rotates at 2950 rpm clockwise when viewed from thefront. The moment of inertia of the flywheel is 4 kg-m 2 and moment of inertia ofeach wheel is 3 kg-m 2 . Find the reactions between the wheels and the ground whenthe car takes a curve of 15 m radius towards right at 30 km/h, taking intoconsideration the gyroscopic and the centrifugal effects. Each wheel radius is 400 mm.
- Solve this with a complete solution. Draw the free body diagram.Consider a rectangular frame made of 4 thin rods (slender rod) as shown in the figure. Consider 4 axes ZP, ZQ, ZR, ZS perpendicular to the screen that pass through the points P, Q, R, S as shown in the figure.Around which of the four axes will the mass moment of inertia be the smallest? a. ZP b. ZQ c. ZR d. ZSThe cone shown in the figure has a height h and a base radius P. The bulk density inside the cone depends on the distance from the z-axis as Y=A*r^3. Find the moment of inertia of this cone with respect to the E-axis parallel to the z-axis and at a distance d.Give your answer in terms of (R, h, d, M). (M here is the total mass of the cone)At the end of this problem, you will need to use the Parallel Axis Theorem. Hint is given in the 2.figure
- b)A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is 11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous c) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (?max) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.A triangular plate is supported by a ball and socketat point A, a roller at point B, and a rope at point C. Thedimensions are given along the line of AB. Determine thereactions at all supports and report your answers in cartesianvector form. Free Body Diagram.10 - Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the figure by using the coordinate set. The dimensions of the wire are a= 24 cm, b= 36 cm. In which of the following options are the coordinates of the CD part of the homogeneous wire in the x, y and z axes correctly given?A) (18 ; 24 ; 0)B) (18 ; 12 ; 24)C) (18 ; 12 ; 0)D) (18 ; 24 ; 24)E) (18 ; 24 ; 12)