The steel pipe is supported on the circular base plate and concrete pedestal. Th

Question

The steel pipe is supported on the circular base plate and concrete pedestal. The applied force is 500 kN. and the normal failure stresses for steel and concrete are (sigma_fail)_st = 350 MPa and (sigma_fail)_con = 25 MPa. respectively. The thickness of the pipe is t = 5 mm and the base plate has a radius of 150 mm (Figure 1) Determine the factor of safety against failure of the steel. Express your answer using three significant figures. Determine the factor of safety against failure of the concrete Express your answer using three significant figures.

Explanation / Answer

For steel

Area = (pi*D*t) = 3141.59 mm2

Safe load for steel = 350*3141.59 = 1099.55 KN

FOS = 1099.55/500 = 2.2

For concrete

Area = (pi/4)(D2) = 70685.83 mm2

Safe Load = 25*70685.83 = 1767.14 KN

FOS for concrete = 1767.14/500 = 3.534

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