Soru
(e) Based on limit state design determine the cross-sectional area of a high yield steel cable which supports a total dead load of 5.0 kN and a live load of 4.0 kN. The characteristic yield stress of the high yield steel is 460N/mm^2 factors of safety for the dead load=1.5, live load=1.7 and steel strength=1.15 (3 marks)
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To determine the cross-sectional area of the high yield steel cable, we need to use the limit state design method. The limit state design method is a method of designing structures based on the limit states that the structure is expected to withstand.The first step is to calculate the factored loads. The factored dead load is calculated by multiplying the total dead load by the factor of safety for the dead load:Factored dead load = Total dead load x Factor of safety for dead load = 5.0 kN x 1.5 = 7.5 kNThe factored live load is calculated by multiplying the live load by the factor of safety for the live load:Factored live load = Live load x Factor of safety for live load = 4.0 kN x 1.7 = 6.8 kNThe factored steel strength is calculated by multiplying the characteristic yield stress of the high yield steel by the factor of safety for steel strength:Factored steel strength = Characteristic yield stress x Factor of safety for steel strength = 460 N/mm^2 x 1.15 = 529 N/mm^2The total factored load is the sum of the factored dead load and the factored live load:Total factored load = Factored dead load + Factored live load = 7.5 kN + 6.8 kN = 14.3 kNThe cross-sectional area of the high yield steel cable can be calculated using the formula:Cross-sectional area = Total factored load / Factored steel strength = 14.3 kN / 529 N/mm^2 = 27.05 mm^2Therefore, the cross-sectional area of the high yield steel cable is 27.05 mm^2.