I. PROBLEM IGNEN As P Os = 140 Es = 200 GPa REQUIRED 0 Find for the -deformation Im Steel = 480 mm , A= 650 mm / am 4P Bronze 3P = 120 Eb = 83 GPa / 1 1 1.5 m Aluminum 2P Aa= 320 mm = 80 Ea- 70 GPa &T= = 3.0mm safest value of force P that will not exceed an overall of 3.0 mm. I PROBLEM Calculate the overall axial deformation of the Assembly as shown. 50 KN IT GIVEN st = 140 MPa 2m Steel IT REQUIRED Ast Est = 200 GPa = 520 mm dr = ? 2:5 m Aluminum = 80 AA1 = 1400 mm EAI 70 GPa 2 50 KN I PROBLEM A rigid member AB is supported horizontally at the pin joints at A and C and by the spring at B. The stiffness of member CD is 2kN/m and of the spring is 5KN/m. Calculate the force in CD, which is initially unstressed, and the reaction. at A when the vertical load of 10 KN is applied at B. IGNEN k = 2kN/m k= 5 kN/m IT REQUIRED F = ? i F2 = ? 7 RA =? 1. PROBLEM the three bars support the 100 000 lbs - weight. as shown. The two outer bars, symmetrically placed, are steel with areas of six inches sq. each. The central bar is copper with area of 8 inches sq. Find the force in bar. an each JGNEN Es = 30x10 psi 17104 psi Ec= REQUIRED Fs = ?, Fc = ? Steel 2 As = 6 in Ac= 8 in 2 Copper 100 000 lbs W= Steel 100000 lbs Same length I PROBLEM A circular bar, having is subjected to an axial show that the change in volume is zero. GIVEN V=0.5 L = 100 mm D = 20 mm Ex = 0.410-3 a length of 100 mm and strain of 0.410-3. If the REQUIRED D Show that the change in volume is zero. a diameter of 20 mm, poission's ratio is 0.5, I PROBLEM A rectangular bar 40 mm wide, 10 mm thick and 500 m long is subjected to a tensile force of 50 KN. If the bar is made of aluminum with a modulus of elasticity E= 70 GPa and =0.33, determine the linear dimensions of the bar. in the changes II GINEN W = 40 mm L 500 mm t = 10 mm REQUIRED E = 76 Pa V = 0.33 FT= 50 KN AL = ? ; AW = ?, At = ? I PROBLEM T-section bar has dimensions as shown. The bar is used as a simply supported. beam of span 1.5 m, the Flange being horizontal. Calculate the uniformly distributed load which can be applied if the maximum tensile stress in the material is not to exceed 100 MN/m (MPa). Also, what is the greatest compressive stress in the plange? 156 II GIVEN L=1.5m = 100 MN/m W that 0 NA 10 go REQUIRED Uniformly Distributed Load & Gredest compressive stress in the Flange 10 I PROBLEM A solid shaft in a rolling mill transmits 20 kW of power at 2 Hz. Determine the smallest safest diameter of the shaft if the shear stress is not to exceed 40 MPa and the angle of twist is limited to 6 in a length of 3m. Use G = 93 Gra. I GIVEN P= 20 kW f = 2 H III REQUIRED 40 MPa 1 1 G=83GPa 16 /L=3m Smallest safest diameter of the shaft.