Where does the 12 come from??? and for FBD(4/5)(3) . IS the \"5\" the length of

Question

Where does the 12 come from???

and for

FBD(4/5)(3) . IS the "5" the length of the rod??

If P = 15 kip, determine the required minimum diameter of the A992 steel solid circular rod BD to the nearest 1/16 in. Use F. S. = 2 against buckling. The compressive force developed in BD can be determined by considering the equilibrium of the free-body diagram of member ABC. Fig. a. The cross-sectional area and moment of inertia of BD are A = pi/4 d^2 I = pi/4 (d/2)^4 = pi/64 d^4 Since BD is pinned at both of its ends. K = 1. The critical buckling load is P_cr = E_BD (F.S.) = 37.5 (2) = 75 kip The length of BD is L = Squareroot 3^2 + 4^2 = 5 ft. Applying Euler's formula. P_cr = pi^2 EI/(KL)^2 75 = pi^2 [29 (10^3)] (pi/64 d^4)/[1 (5) (12)]^2

Explanation / Answer

12 is the conversion of feet into the inch of length of the column.

and 4/5 vertical component of force in BD that is sin component.

Hope u understood. plz leave a comment if any query is there.

thanks

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