Extracted text: 1-21_Problems Q:1/ A hollow right-circular cylinder is made of cast iron and has an outside diameter of (75 mm) and an inside diameter of (60 mm). If the cylinder is loaded by an axial compressive force of (50 kN), determine the total shortening in a (600 mm) length. Also determine the normal stress under this load. Take the modulus of elasticity to be (100 GPa). Ans.(ô = 0.188 mm) , (o= 31.45 MPa) Q:2/A square steel bar is (50 mm) on a side and (250 mm) long. It is loaded by an axial tensile force of (200 kN). If(E= 200 GPa) and (µ= 0.3), determine the change of volume per unit volume. (Ans. 0.00016) Q:3/The bar shown in Fig.(1-22 ) is subjected to a tensile load of (160kN). If the stress in the middle portion is limited to (150N/mm³), determine the diameter of middle portion. Find also the length of the middle portion if the total elongation of the bar is to be (0.2mm). Young's modulus is given as equal to (2.1*10$ N/mm³). (Ans. d= 3.68em , L=20.71em) 160 KN A 6 cm DIA 160 N 6 om DIA 40 cm Fig.(1-22 ) Q:4/Three equally spaced rods in the same vertical plane support a rigid bar (AB). Two outer rods are of brass, each (600mm) long and of (25mm) diameter. The central steel rod is (800mm) long and (30mm) in diameter. Determine the forces in the bars due to an applied load of (120kN) through the mid-point of the bar. The bar remains horizontal after the application of load. Take (Es/E,=2). (Ans. P, =62.3kN ,P,=28.84kN ) H30 mm 120 KN -ww o09 ww 009