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Consider the rocket on a test stand . The nose of the rocket is fixed. The rocket is of length L, constant EA and constant m, mass per unit length. To investigate longitudinal dynamics, the rocket is modeled using axial elements of equal length.
Determine the natural frequencies and the natural modes using a model with nine elements of equal length. Compare the results with those for the three-element model given in the lecture notes as well as the exact solution. Comment on the accuracy of the natural frequencies and the natural modes as the number of elements increases. Note: For convenience, introduce p=((w^2)*(mL^2))/EA
A tire carries a 5,000-lb load and has a pressure of 100 psi. The pavement has a modulus of elasticity of 43,500 psi. A deflection of 0.016 inches is observed at a point on the pavement surface 0.8 inches away from the tire load.
Based on volume of a sphere V=4/3(pi)r^3, create a table of volume vs. radius allowing radius to vary from 2.0 to 10.0 cm in 1 cm increments. Graph the data from the table on log-log paper using radius as the independent variable.
If the load effect has a mean value of 88 kips and a standard deviation of 1.8 kips. If the nominal material strength is 160 kips Determine the followings 1- The probability of failure of the structure under the nominal resistance and service load..
A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.00 Hz. Ignoring the mass of the spring, what is the mass of the fish?
The compound beam is fixed at A and supported by a rocker at B and C. There are hinges (pins) at D and E. Determine the reactions at the supports.
two isotropically consolidated undrained (ciu) triaxial tests, CU1 triaxial tests, CU1 and CU2, were conducted on a normally consolidated (Nc) clay under effective consolidation stresses of 100 and 200 kPa respectively.
Derive formulas to show that normal stresses in rods (1) and (2) are independent of the material used in rods, as long as they have the same modulus of elasticity, that is, E_1 = E_2.
The pressure at the end of the bend is 78 pounds per square inch. Determine the horizontal components of the forces necessary to hold the bend in place.
Devise a appropriate management system that you as a commercial manager for the contractor would recommend to the project team for use on a construction or building contract.
Given computer-generated direction field. Then sketch, by hand, an approximate solution curve that passes through each of the indicated points. Use different colored pencils for each solution curve.
Are there any situations when parallel flow option may be preferred instead of a counter flow heat exchanger
A solution contains 300 mg/L of acetic acid. Determine the pH of the solution if an equivalent amount of sodium hydroxide (NaOH) is added to it. Determine the concentration of NaOH required (in mg/L).
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