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Maths questions full workings out please and engineering question explain in detail please
Question 1: A tensile load F is to be applied to a tie bar shown in figure. The tie bar is 50 mm diameter. The surface of the bar has defects resulting from the manufacturing process, these have a maximum depth of 1.5 mm and have a shape factor of 1.4.
If the fracture toughness of the material used is 120 MPa m-0.5, determine the maximum load which can be applied if brittle fracture is not to occur. Use a factor of safety of 3.
Question 2: Consider that we need to predict the fatigue life of the bracket shown in figure. If we are given that the following relationship applies for the bracket:
Da/dV = 4 x 10-12 (ΔK)3 where Δk is in MPa m1/2
and that the stress varies cyclically between 30 and 150 MPa, determine the number of cycles for a defect to grow from 1.5mm to 4 mm.
Package Design Brief: Assume you are the packaging engineer for a large consumer products company. In this company, the Packaging Design Briefs are initiated by the marketing group and forwarded to the Package Engineering group.
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To Verify the law for parallelogram of forces, law for triangle of forces and law of polygon of forces. These laws are very useful to calculate unknown forces in very short time.
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