1. The circular bar has a length of 12 ft-o in., a diameter of 1 in.,...
1. A steel bar with solid circular cross section has a diameter d= 2.5 in., a length L = 60 in. and a shear modulus of elasticity G = 1 1.5 × 106 psi. The bar is subjected to torque T- 350 lb-ft as shown. (a) Find the angle of twist between the d 2.5 in (b) Find the maximum shear stress in the (c) Find the shear stress ta at a distance (d) Find the shear stress Tcenter at...
A solid bar of circular cross section has a diameter, d= 1.5 in., and length, L-54 shear modulus of elasticity, G11.5x 10spsi (see Figure 4). 4. in.. The da 1.5 in. L-54 in. Figure 4 (a) If a torque T 250 lb-ft is applied at the ends, find the values of maximum shear stress in the bar and the angle of twist between the ends of the bar. [10 marks] (b) If the allowable shear stress 6000 psi and the...
A solid steel bar of circular cross section has diameter d = 40 mm, length L = 1.3 m and shear modulus of elasticity G = 80 GPa. The bar is subjected to torques T acting at the ends. If the torques have magnitude T = 340 Nm, what is the maximum shear stress in the bar? What is the angle of twist between the ends? If the allowable shear stress is 42 MPa and the allowable angle of twist...
(a) A wood bar is subjected to tensile force of 60 kips at two ends. It is 5 ft long, and has the rectangular Cross section which height is 4 in, and width is 2 in. The modulus of elasticity is 1.9×103ksi. Determine the total clastic deformation of the wood bar. Answer in the unit of inches, to 0.001. Note: 1 ft = 12 in., 1 ksi = 1000 psi. (b) If this wood bar has a hole with a diameter...
Q1. A circular rod of 12 mm diameter was tested for tension. The total elongation on a 300 mm length was 0.22 mm under a tensile load of 17 KN. Find the value of E. (2.5 Marks) Answer: Q2. A prismatic bar has a cross section of 25 mm x 50 mm and a length of 2m under an axial force of 90 KN. The measured elongation of the bar is 1.5 mm. Compute the tensile stress and strain in...
The rigid bar shown is supported by axial bar (1) and by a pin connection at C. Axial bar (1) has a cross-sectional area of A1 = 250 mm2, an elastic modulus of E = 200 GPa, and a coefficient of thermal expansion of α= 11.3 × 10-6/°C. The pin at C has a diameter of 40 mm. After load P has been applied and the temperature of the entire assembly has been increased by 10°C, the total strain in...
7. (5 points) A solid circular bar having diameter d is to be replaced by a thin-walled triangular tube having the cross-section shown below. Determine the required thickness of the triangular thin-walled tube so that the maximum shear stress in the triangular tube will be equal to the maximum shear stress in the solid bar. The cross section of the tube is an equilateral triangle Both sections are going to be subjected to the same torque. d
14) The bar in Figure 6 has a circular cross section. A change in length of 0.06 inches was measured in the y-direction. A strain of -417(10) was measured in the x-direction. Calculate the Poisson's Ratio for the material. d 0.25 in. P 2 ft A. 0.224 B. 0.195 Figure 6 C. 0.247 D. 0.167 15) The bar in Figure 6 experiences a temperature increase of 26°F. Calculate the change in length of the bar if P 0, E 27,000...
please show all work. A 2-ft circular shaft of inner diameter of 12 inch and outer diameter of 14 inch is subjected to a torque of 10,000 kip.ft. The shear modulus of the shaft material is 10,000 ksi. The angle of twist in radian of the shaft is most nearly: A. 0.00166 B. 0,0166 C. 0.166 D. 1.66
The bar shown has a cross-sectional area of 0.001 m² and a modulus of elasticity of 100 GPa. It is subjected to a uniformly distributed axial force q= 50 kN/m pointed to the left. An external axial force F= 20 kN, pointed to the left, is applied at the middle of the bar, x=L/2. a. What is the axial force P in the bar as a function of x? b. What is the bar's total change in length? ttttttttta x...