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A solid steel bar of diameter 30 mm is enclosed by a steel tube of outer diameter 45 mm and inner diameter 36 mm. Both bar and tube are held rigidly at end A and joined securely to a rigid plate at end B. The composite bar, which is 500 mm long, is twisted by a torque T = 500 N.m acting on the end plate.
(a) Determine the maximum shear stresses and 1τ2τ in the bar and tube, respectively.
(b) Determine the angle of rotation φ (in degrees) of the end plate, assuming that the shear modulus of the steel is G = 80 GPa.
(c) If the maximum allowable shear stress is 69 MPa, determine the allowable value of the torque T.
assume the readings on thermometers are normally distibuted with a mean of 0C and a standard feviation of 1.00C. Find the probability that a radndomly selected thermometer reads greater than 1.23 and draw a sketch of the region.
A particular soil has a total (moist) unit weight of 122 pcf and a dry unit weight of 101 pcf. The specific gravity of soil is 2.70. Calculate the water content and degree of saturation.
calculate the amplitude F0 of the sinusoidal excitation force that is necessary to produce a steady-state vibration with a velocity amplitude of 10 m/s at resonance. what is the corresponding amplitude of the acceleration
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Why do the X components of the reaction forces need to be considered when resolving the moment about point A
A cylindrical specimen of soil is compressed by an axial principal stress of 500 kPa and a radial principal stress of 200 kPa. Plot Mohr's circle of stress and determine (a) the maximum shear stress
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A second load P2 is uniformly distributed around the cap plate at B. The diameters and thicknesses of the upper and lower parts of the post are dAB= 1.25 in, tAB= 0.5 in, dBC= 2.25 in and tBC= .375 in respectively.
The pipes holding the boards were placed 10 ft apart across the dam. There were 20 pipes and each one was designed to fail under a bending moment of 1625 ft-lb how deep will the water be on the flash boards when failure occurs
A pump is to be used to draw seawater from the bay at an elevation of 0 to a reservoir at a desalination plant that has a water surface elevation of 255 feet. A 12-inch diameter DIP pipe (CHW = 120) which is 625 feet long connects the two bodies ..
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