Reference no: EM131299396
Question 1. Figure shows a concrete reinforced slab undergoing deflection under its own weight.
Using the FEM principles (stiffness method), calculate
a. Deflection and reactions at the nodes (define the nodes as required)
b. Draw the shear force and bending moment diagrams (using FEM)
c. Compare the maximum deflection using FEM with analytical results.
Modulus of elasticity = 5.0 × 106 psi
Weight per cubic feet of slab = 150 lb
Assume width in the perpendicular direction (z-dir) = 1 in
Question 2. Many flow problems can be simplified and modeled as flow between two infinite parallel plates e.g. lubrication leakages in hydrostatic bearings. The flow between the plates is given by the following equation:
μd2u/dx2 = dp/dx
u is the fluid velocity between the plates, µ is the dynamic fluid viscosity, and dp/dx is the constant pressure drop.
a. Using Galerkin's method, obtain the equation for velocity profile. Assume displacement function to be
u‾ = C1[sin(Πy/H)]
b. Find the exact solution for the velocity profile.
c. Solve the velocity profile using finite difference approach.
d. Compare the results of all of the above approaches using the following values µ = 0.05 N.s/m, H = 0.02 mm, dp/dx = -200 MPa/m
Use an excel sheet to plot the velocity profiles.
e. How do the maximum velocities compare for each case?
Question 3. A variable cross-section plate is shown in the figure. The plate supports a load of 2500 lb.
a. Using direct stiffness method (one dimensional method), determine the deflection of the plate at nodes 2, 3 and 4. The modulus of elasticity of the material is 20e3 ksi.
b. Also calculate the stress in all the three elements.
Question 4. You have already submitted the MATLAB code to calculate the reactions and deflections in 3D truss. Calculate strains and stresses too. Submit the updated code.
Determine whether x is even or odd
: It can be shown that 5 is a primitive root for the prime 1223. You want to solve the discrete logarithm problem 5^x = 3 (mod 1223). Given that 3^611 = 1 (mod 1223), determine whether x is even or odd. Follow the below step for correct answers.
|
Reduce greenhouse gas emissions
: 1) Will the need to reduce greenhouse gas emissions such as carbon dioxide kill certain industries? 2) What happens to a utilities Marginal Costs (MC) as they are compelled to reduce carbon emissions?
|
How many explanatory variables are there
: How many explanatory variables are there? How many treatments? Use a diagram like Figure 6.1 to describe the treatments. How many experimental individuals does the experiment require?
|
Explain the development of post-world war ii
: Explain the development of post-world war II American foreign policy in the era 1945-1965 - What challenges did the country face abroad? What was the general doctrine?
|
Draw the shear force and bending moment diagrams
: MECT 6322 - Computer Aided Engineering Deflection and reactions at the nodes and Draw the shear force and bending moment diagrams (using FEM) - Find the exact solution for the velocity profile.
|
Liquidity of home mortgages since the late
: How have financial innovations increased the liquidity of home mortgages since the late 1970s? Has this increase in liquidity tended to increase or decrease the interest rate on home mortgages? Explain why.
|
Should patients be told which remedy they are receiving
: If patients are not told which treatment they are receiving, the experiment is single-blind. Should this experiment be double-blind also? Explain.
|
Discuss how the actions of the federal reserve
: Discuss how the actions of the Federal Reserve, specifically an increase or decrease in money supply, affect the other variables represented in the IS/LM model. Is this model a useful tool in setting U.S. monetary policy?
|
Justify their ongoing presence in the channel
: What are the major differences you have experienced in buying a product through a traditional retail store, a manufacturer's store, a catalog, and an online merchant?
|