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Two cylindrical rods, AC made of aluminum and CD made of steel, are joined at Cand restrained by rigid supports at A and D. It is given that Ea 10.4 x 106 psi, Es 29x 106 psi, and P 20 kips. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. -10 in.- 8 in. -10 in.- A B. 14 kips 1- in t-in diameter diameter Determine the reactions at A and D kips The reaction at A is kips The reaction at D is Determine the deflection of point C x 103 in. The deflection of point Cis
Two cylindrical rods, AC made of aluminum and CD made of steel, are joined at Cand restrained by rigid supports at A and D. It is given that Ea 10.4 x 106 psi, Es 29x 106 psi, and P 20 kips. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. -10 in.- 8 in. -10 in.- A B. 14 kips 1- in t-in diameter diameter Determine the reactions at A and D kips The reaction at A is kips The reaction at D is Determine the deflection of point C x 103 in. The deflection of point Cis
The Reaction at A: RA = 11,917 lbsThe Reaction at D: RD = 8,083 lbsThe Deflection at C is ΔC = 0.0142 inAt point A and D, where the rods are fixed, draw arrows pointing inwards representing the reaction forces acting on the rods from the supports. These forces are not known and we call them RA and RDThe reaction at A:A_AC = π/4 * (1 in² = 0.785 in²A_CD = π/4 * (1/2 in)² = 0.196 in²The compatibility equation:(RA * 10 in) / (0.785 in² *psi) + ((RA-20000 lbs) * 8 in) / (0.196 in² *psi) = 0We then Solve for RA:In the horizontal direction, the sum of forces must equal zero:RA + RD - P = 0RA = 11,917 lbs.Solve for RD:RD = P - RA = 20000 lbs - 11917 lbs= 8083 lbsDeflection at C, take note we are using rod CDΔC = (RD * 10 in) / (A_CD * E_s)= (8083 lbs * 10 in) / (0.196 in² *psi)= 0.0142 in...