CE 2C04: Determining the Normal Stress - Mohr's Criteria - Engineering Mechanics Assignment Answer

Code: CE 2C04

Engineering Mechanics Assignment Answer

Task Q.1 The steel beam (E = 200 GPa, the yield strength of 200 MPa), is subjected to the loading shown:

1.  Determine the minimum height of the beam (h) so that the beam satisfies  When the column is 6m Satisfy all bending requirements
2.  Determine the minimum height of the beam (h) so that the beam satisfies all shear requirements
3.  Determine the minimum height of the beam (h) so that the deflection of the beam is always less than 50mm.
4. Choose the h that satisfies (a), (b) and (c), THEN verify at the following cross-sections [MAX Moment, MAX Shear and Just to the right of the PIN Support], that the elements at the locations shown are not failing using the maximum shearing stress criteria.

Q.2. A cast iron material with the following strengths ? T = 80 MPa and ? C = 180 MPa. For each of the plane, stress states are shown and using Mohr’s criteria, either decide if the element fails or not (parts (a) and (b)) or determine the normal stress ?o at which failure of the component should be expected (part (c)). Q.3 Determine the maximum possible load for the following column, assuming that the column is made of aluminum (E = 70 GPa) with a yield of 220 MPa.

1.  When the column is 6m long
2. CE 2C04When the column is 3m long
3. At what length does the axial load switch from being governed by axial compression to Euler’s equation?
4. Create an allowable load vs. length plot for the column

Q.4 For the following 6m long wood column, with an elastic modulus of 23 GPa and a compressive strength of 8 MPa, determine the bracing needed for the column to carry 25 KN Note, determine the maximum bracing distance and also the most practical bracing distance, as is you were advising a contractor.

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