The company has been asked to asess the effects of a variety of engineering cond
ID: 1849429 • Letter: T
Question
The company has been asked to asess the effects of a variety of engineering conditions on a selection of components. Perform calculations of the components that follow:a) A medium carbon annealed steel rod has a rectangular cross section and must cope with a tension of 3 tonnes. The thickness of the rod is 15mm. Calculate the size of the cross section.
b) Calculate the tensile stress in a rod 40mm is diameter with a load of 200 kN.
c) Calculate the diameter of a medium carbon steel pin in double shear subjected to a suddenly applied shearing force of 150000 N.
Explanation / Answer
Given: Tension = 3 tonnes Find: rectangular cross section = size = area? Thickness = 15mm Material = Medium Carbon Steel Ave. UTS of med carbon steel = 770 N/mm² = s Safe Working Stress = ¼ = k Conversions: 3 tonnes to Newton = 3 x 1000kg x 9.81Newtons = 29,430N (tension load) Consider the formula: Area = P / sk 29,430N A = _____________ 770 N/mm²(.25) A = 152.8831 mm² A = 152.8831 mm² Consider the formula: Area of a rectangle = base x height Base = lenght and height = thickness Thus: Area = lenght x thickness And: Lenght = Area / thickness