Find the maximum allowable value of P for the co

Question

Find the maximum allowable value of P for the column. The cross-sectional areas and working stresses (σw) are shown inthe figure.2.

loki13890 · Answer

satis · Answer

Cross-sectional areas of steel,timber and concrete columns are : 500 mm^2, 2000 mm^2, 8000 mm^2 respectively.working stresses (σw) of steel,timber and concrete columns are : 120 MPa, 12 MPa, 16 MPa  respectively.For steel :2P = As*σs = 500 mm^2 * 120 MPa = 60,000 NP = 30,000 NFor timber :2P - P = At*σt P = 2000 mm^2 * 12 MPa 
P = 24,000 NFor concrete :2P - P = Ac*σc
2P - P + 4P = 8000 mm^2 * 16 MPa 
5P = 1,28,000 NP = 25,600For safe value of P, the smallest value from above should be taken.Thus, the maximum allowable value of P for the column is P = 24,000 N

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Find the maximum allowable value of P for the co

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