Question

1. The circular bar has a length of 12 ft-o in., a diameter of 1 in., and a modulus of elasticity E = 29x10 psi. It is subjected to an axial force of 10,000 lbs along the centroidal axis of the bar's cross-sectional area as shown. Find the following: (i) Average normal stress and average shear stress at section a-a (ii) Average normal stress and average shear stress at section b-b (iii) The bar total elongation 10,000 lbs 10,000 lbs 1.00 12'-0"

Answer 1

Salhin رو ه} L= Rft , D = linch E = 29 xloopsi , F = lot abs L=12x 12 = 144 inch at Section ara | - $ infinitable small point at araz stress exist at ara only tensile t (6 denoted as stress OX where A= Ix2 = 0.785 inch?

DATE PAGE 6.785 Chama 12238.39 Pbil T= o (shear on plane stress uro ara) at section b-b o & infinitable small bolunt aut Section 6 = 12732.39 and 620 Then, by using formulas bo = Clithe) + (6.6.) cono + Tng linze

DRE where o is axis which is o= so angle soo from vertical To = -6, sino t Tycoo o = 50 , 6 = 12732.39, 62 = 0 Txzzo ro = 6 + 6 caso 2 C100) 12732.39 (It conloo) z = 5260.716 pri and [12732.3) sinloo 2- 6269.478 psi

DATE PAGE Normal strees = 5260.716 Psi Noxxy A shear struy = -6269.478 il Bar total elongation. COL) | DL = PL AE P = axial A = Area Foru , L= length Then AL- 104 x 144 0.785 29x106 = 0.0632 inch