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1. Develop three scenarios for comparable circular cylinders of radius R and square tubes of side H that allow one to say R ∼ H. (Hint: What geometric attributes of the cylinder and tube might be made equal?)
2. If a structural stiffness parameter was defined in terms of the pressure/radial deflection ratio (i.e., p/w), compare the stiffness parameters for a circular cylinder of radius R with that of a square tube of side H. What are the physical dimensions of these stiffness parameters and of their ratio? Assume that R ∼ H.
3. Given that the hoop strain is likely to be a very small number, estimate the pressureto-modulus ratio, p/E.
A horizontal flat plate is in a free stream of air at T_{\infty } = 290K and u_{\infty } = 0.05m/s. The flat plate’s length (in the direction of the free-stream velocity) is L = 2m, its width is w = 0.5m and its temperature is T = 310K. Find the tota..
the concentration of silicon in an iron-silicon alloy is 0.55 wt. what is the concentration in kilograms of silicon per
(a) Sketch the cycle on a p V diagram. (b) Calculate the net work for the cycle, in kJ. (c) Calculate the heat transfer for process 2 3, in kJ. (d) Calculate the heat transfer for process 3 1, in kJ. (e) Is this a power cycle or a refrigeration cy..
Longitudinal versus Transverse Vibrations in a bar, A 48 inch long by 2 inch diameter round steel rod (E=30e6 psi, density=0.28 lb/in3) is fixed at one end and free at the other. If the rod is struck transversely so that there is both a longitudin..
Given the melting point of steel to be approximately 1500 C, how much energy is required to melt a cubic inch from room temperature? How much water would this amount of energy raise by 10o C from room temperature?
a 0.3 m3 rigid tank is filled with saturated liquid water at 200degc. a valve at the bottom of the tank is opened and
Assume that the uncertainty in the convection heat-transfer coefficient calculated with the appropriate formula from Table 8.6 is ±15 percent. Assume that the uncertainty in the resistance-thermometer measurement is ±0.03?C.
in a 150 mw steam turbine unit operating on an enhanced rankine cycle steam is delivered from the boiler to the high
A piston-cylinder device with a set of stops initially contains 0.6 kg of steam at 1.0 MPa and 400 C. The location of the stops corresponds to 40 percent of the initial volume. Now the steam is cooled. Determine the compression work if the final stat..
an 80-lb n boy sitting in a stationary 20-lb wagon wants to simulate rocket propulsion by throwing bricks out of the
a steam compressor is used to increase the pressure of saturated water vapor at 1000 kpa to 1500 kpa. the flow rate is
Continuum Mechanics, 2016 Fall Midterm Exam. Questions: Write the combined motion in the matrix form Write the deformation and displacement gradients in the matrix form
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