A steel rod having a cross-sectional area of 300 mm2 and a length of 150 m is suspended vertically from one end. The rod supports a tensile load of 20 kN at its free end. Given that the mass density of steel is 7850 kg/m3 and E = 200 GPa, find the total elongation of the rod.

The nut on a bolt is tightened by applying a force of P = 50 lb to the end of a wrench at a distance of a = 4.0 in. from the axis of the bolt. The body of the bolt has an outside diameter of d=0.375 in. What is the maximum torsional shear stress in the body of the bolt? Answer: Tmax= i psi

30. An aluminum alloy rod has a circular cross section with a diameter of 8mm. The rod is subjected to a tensile load of 5kN. Assume that the material is in the elastic region and E = 69 GPa. If Poisson's Ratio is 0.33, what will be the lateral strain? E= 6/8 v = -E(lateral)/(axial)

The state of stresses in the x and y directions at a point in a given material is shown in the figure below. If the value of the shear stress in the x-y axes Ty is 19N/mm2, find the maximum direct stress that can be found at this point in any possible direction. Round off your answer to the nearest N/mm2. 10 N/mm2 Txy 20 N/mm2 20 N/mm2 Txy 10 N/mm2

The state of stresses in the x and y directions at a point in a given material is shown in the figure below. If the value of the shear stress in the x-y axes Ty is 11 N/mm², find the minimum direct stress that can be found at this point in any possible direction. Round off your answer to the nearest N/mm?. If the answer is negative do insert the "-" sign. 10 N/mm2 Txy 20 N/mm2 20 N/mm2 Ixy 10 N/mm2

A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; a= 2.9 x 10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 x 10-6/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.². The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 31 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1). 6 ft 2.5 ft O 3.74 kips 4.77 kips (1) B 3 ft 8 ft 1.5 ft 2 D

The nut on a bolt is tightened by applying a force of P = 18 lb to the end of a wrench at a distance of a = 7.0 in. from the axis of the bolt. The body of the bolt has an outside diameter of d = 0.425 in. What is the maximum torsional shear stress in the body of the bolt? Answer: Tmax i a psi

Problem 3 For the compound beam shown in Figure 4, determine the reaction forces, calculate the stress in each member, and determine the deformation in each beam using the Direct Stiffness Method. 3 ft 2 ft 2 ft y 500 lb 300 ft-lb 1= 0.948 in ¹ E = 30 106 psi I = 0.198 in ¹ E = 30-106 psi

A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; a = 2.9 x 10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 x 10-6/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.². The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 38 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1). 6 ft 2.5 ft 5.16 kips 4.86 kips 2.48 kips 3.88 kips O 4.09 kips (1) B 3 ft P 8 ft 1.5 ft

roblem 2: A steel hoop, 10 mm thick and 80 mm wide, with inside diameter 1500.0 mm, is heated and shrunk onto a steel cylinder 1500.5 mm in diameter. What is the nor- mal force in the hoop after it has cooled? Neglect the deformation of the cylinder, and use E == 200 GPa for steel. roblem 3: The timber member has a cross-sectional area of 1750 mm² and its modulus of elasticity is 12 GPa. Compute the change in the total length of the member after the loads shown are applied. 40 kN 35 kN 20 kN D• A