8-29. A shear spring is made from two blocks of rubber,each having a height h, width b, and thickness a. Theblocks are bonded to three plates as shown. If the platesare rigid and the shear modulus of the rubber is G,determine the displacement of plate A when the verticalload P is applied. Assume that the displacement is smallso that & - a tan y - ay.

Given that: The height of the rubber block is =h The width of the rubber block is =b The thickness…

Answered: 8-29. A shear spring is made from two…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The rotating flywheel-and-shaft, when brought to a sudden stop at D, begins to oscillate clockwise-counterclockwise such that a point A on the outer edge of the flywheel is displaced through a 6-mm arc. Determine the maximum shear stress developed in the tubular A-36 steel shaft due to this oscillation. The shaft has an inner diameter of 24 mm and an outer diameter of 32 mm. The bearings at B and C allow the shaft to rotate freely, whereas the support at D holds the shaft fixed.
A force of 10 kN is applied to the hook. If the CB cable is made of steel (E= 200 GPa) and has a diameter of 8.5 mm, determine its displacement. Consider the distance CB shown below as the initial length.
The turbine develops 150 kW of power, which is transmitted to the gears such that both C and D receive an equal amount. If the rotation of the 100-mm-diameter A-36 steel shaft is v = 500 rev>min., determine the absolute maximum shear stress in the shaft and the rotation of end B of the shaft relative to E. The journal bearing at E allows the shaft to turn freely about its axis.
The rigid bar is supported by the two short white spruce wooden posts and a spring. If each of the posts has an unloaded length of 1 m and a cross-sectional area of 600 mm2, and the spring has a stiffness of k = 2 MN >m and an unstretched length of 1.02 m, determine the vertical displacement of A and B after the load is applied to the bar.
the solid steel sheft DF has a diameter of 25 mm and is supported by smooth bearings at D and E. It is coupled to a motor at F. which delivers 12kw of bower to the shift while turning at 50 rev/s if gears A ,B and C remove 3kw,4kw,5kw respectively . determine the maximum shear stress developed in the shift within Regions CF and BC. the shaft is free to turn in its support bearings D and F
The turbine develops 300 kW of power, which is transmitted to the gears such that both B and C receive an equal amount. If the rotation of the 100-mm-diameter A992 steel shaft is v = 600 rev>min., determine the absolute maximum shear stress in the shaft and the rotation of end D of the shaft relative to A. The journal bearing at D allows the shaft to turn freely about its axis.
The gear motor can develop 1 10 hp when it turns at 300 rev>min. If the shaft has a diameter of 1 2 in., determine the maximum shear stress in the shaft.
3. Motor A develops a power of 2.5 HP and has an attached pulley that rotates at 90 rev/min. Determinethe diameters of the steel shafts located on the pulleys at A and B3 if the allowable shear stress isperm = 15 ksi
The solid steel shaft AC has a diameter of 25 mm and is supported by smooth bearings at D and E. It is coupled to a motor at C, which delivers 3 kW of power to the shaft while it is turning at 50 rev>s. If gears A and B remove1 kW and 2 kW, respectively, determine the maximum shear stress in the shaft within regions AB and BC. The shaft is free to turn in its support bearings D and E.
The shaft has a radius c and is subjected to a torque per unit length of t0, which is distributed uniformly over the shaft’s entire length L. If it is fixed at its far end A, determine the angle of twist f of end B. The shear modulus is G.
The bearings at A and B exert only x and z components of force on the steel shaft. Determine the shaft's diameter to the nearest millimeter so that it can resist the loadings of the gears without exceeding an allowable shear stress of 60 MPa. Use the maximum-shear-stress theory of failure.
The observation cage C has a weight of 250 kip and through a system of gears, travels upward at constant velocity along the A-36 steel column, which has a height of 200 ft. The column has an outer diameter of 3 ft and is made from steel plate having a thickness of 0.25 in. Neglect the weight of the column, and determine the average normal stress in the column at its base, B, as a function of the cage’s position y. Also, determine the displacement of end A as a function of y.

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