The water tank capacity is 30,000 litres and the overall length of platform is 10 metres. The space between main stands is 3.0 mm and the platform width is 3.5 m. The materials for all structure is steel and the Young's Modulus is E=210 GPa. The yield stress of steel is sy=250 MPa and the Poisson Ration is v=0.33. The load from the water tank is horizontal distributed, /pressure load. Consider only the loads that would be supported by the two main stands rather than the four stands. Consider only the loads that would be supported by the two main stands rather than the four stands. 

 

Answer the following questions from the information given above:

1. Reactions at supports: Determine the vertical reactions at the supports of the main stands, assuming no lateral horizontal loading experienced on the structure. Take the weight of the platform to be 5% of the weight of the water tank. 
2. Maximum bending moment of platform: Determine the maximum moment acting on the horizontal platform under the effect of the water tank. Consider the load from the water tank to be a distributed load. 
3. Area moment of inertia: Determine the area moment of inertia for the platforms and the main stand cross-sectional shapes you chose for your design. 
4. Bending stress in platform: Calculate the bending stress in each of your platform and determine for your design that it does not exceed the yield stress of steel, σY = 250 MPa. 
5. Normal stress in main stands: Determine the main normal (axial) stress in the main stands and show how you have ensured that failure within the main stands is not due to crushing, axial or compressive failure. 
6. Critical buckling load in main stands: Calculate the critical buckling load, Pcr experienced by the main stands. 
7. Critical buckling stress in main stands: Calculate the critical buckling stress, σcr that is experienced by the main stands. 
8. Slenderness ratio at yield: Determine the slenderness ratio at yield, λY which should ensure elastic yielding of the main stands. 
9. Buckling mode profiles: If the maximum lateral deflection of main stand is 5 mm, during buckling plot the shape of the first three modes of failure for the main stands.