Respuesta :
The applied load is 6596.95 lb.
What is equilibrium?
Equilibrium is an economic concept that describes a state in which there is no tendency for further change. It occurs when the supply of a product is equal to the demand, resulting in prices and quantity of goods remaining steady. In the long-run, equilibrium is achieved when firms and consumers make rational decisions based on their self-interest, such as maximizing profits or minimizing costs. This state of balance is sustained by the interaction of market forces, such as supply and demand, which are in constant flux. Equilibrium is essential for efficient markets and is maintained by the use of pricing and other market adjustments.
Given: b=17 in, d=13 in, e=3.13 in, e2=247 in and σc=167777 psi.
The applied load can be computed using the equations of equilibrium, where the applied load, P, must equal the sum of the bending moments at point C.
M_c = P*e2 = 167777*247 = 41220809 psi-in
M_c = M_b + M_a
M_b = (P*b*d^2)/8 = (P*17*13^2)/8
M_a = P*e/2 = P*3.13/2
Solving for P,
P = (41220809 - (17*13^2*M_a)/8)/(247 + e/2)
P = (41220809 - (17*169*3.13*P)/16)/(247+3.13/2)
P = (41220809 - 64736.769*P)/249.5
P = 164928.7/249.5
P = 6596.95 lb
Therefore, the applied load is 6596.95 lb.
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