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Frictionless normal indentation of a surface by a sphere was considered in Section 13.2.1.1.
(a) Prove the statement in that section that the maximum tensile normal stress is
(b) Show that it occurs at the periphery of contact, r = a.
(c) Discuss the consequences of this maximum stress for fatigue cracking in
(a) polycrystalline aluminum oxide, (b) PMMA and (c) commercially pure aluminum during cyclic indentation.
(d) Describe qualitatively how a layer of residual compressive stress at the surface would affect the magnitude and location of this maximum stress
the rigid bar abcd is supported by a pin at B and restrained by identical steel bars at C and D, each of area 250mm^2. if the temperature is increased by 80C, determine the force P that will cause the bar at c to be stress-free.
Determine the vertical stress increment due to the strip load and the total pressure both at point 3 m below the center of the strip load.
The design wind speed is 15 mph at T=10C and p=0.9 bar. The efficiency of the turbine is n=20% meaning that 20% of the kinetic energy in the wind can be extracted. estimate the power in watts that can be produced by the turbine.
A power plant situated 20 km directly upwind from a protected old-growth forest emits SO2 at a rate of 120 g s-1with an effective stack height of 100 m (uH= 2 m s-1). Environmentalists claim that the acidic deposition is damaging the valuable fore..
The velocity of the center point of the wheel is constant at 20 ft/sec to the right. For the instant, determine the following: a) The velocity and acceleration of point B (which is attached to the wheel) measured with respect to ground.
A solid cube with a side length of 0.4 ft and a weight of 110 lb slides down a smooth surface that is inclined at 45 degrees to the horizontal. The block slides on a film of oil with a viscosity of 1.85 x 10-2 lb-s/ft2. If the velocity of the block i..
Using pie method, derive an expression for the velocity of a jet of viscous liquid issuing from an ori ce under static head if this velocity depends only on head, ori ce diameter, acceleration due to gravity, viscosity and density of fluid.
task 1you have been asked by your construction director to provide a prediction of short term sales growth for your
An open rectangular tank 1m wide and 3m long contains water to a depth of 1m. If the height of the tank sides is 1.5m, what is the maximum horizontal acceleration (along the axis of the tank) than can develop before the water spills
A hydraulic jump forms in a horizontal trapezoidal channel. The base width is 4m and the side slopes are 45o. The depths upstream and downstream of the jump are 1m and 3m.
A steel bar of length 30 inches and circular cross section whose diameter varies linearly from 0.50 inches at one end to 0.75 inches at the other is subjected to an axial tensile force of 4.5 kip. Find the change in length of the bar.
An aluminum 2024 T3 bar of uniform cross sectional area is subjected to a tensile force in the longitudinal direction. if the lateral surface of the bar is confined and not allow to contract during loading
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