Determine torsional constant for the two-cell tube shown in the figure b-8 in, r= 2 in,...
The cross-section of a thin walled single cell tube is shown in Figure 1 below. The tube supports a torque of T-3 kN.m over a length of 8 m. Consider G of the material as 79 GPa. 1. Determine the shear stresses in the walls and angle of twist 2. A vertical web of wall thickness of 2mm is added in the single cell to make it a two cell tube shown in Figure 2 below. Also determine the shear...
A steel tube with a circular cross section has an outside diameter of 300 mm and wall thickness of 2 mm. The cylinder is twisted along its length of 2 m with a torque of 50 kN · m. (a) Determine the maximum torsional shear stress using Equation Theta= T*L/JG (b) Determine the maximum torsional shear stress using the closed thin-walled tube method. Compare this result to the result of part (a). (c) Assuming the tube does not yield, determine...
The torsional assembly in the Figure above consists of a cold-rolled stainless-steel tube AC with an outside diameter of 4 in., a wall thickness of 0.2 in., a shear modulus of G = 12,500 ksi, and an allowable shear stress of 35 ksi. The tube AC is connected to a solid cold-rolled brass segment CD at the flange C and has a diameter of 2.50 in., a shear modulus of G = 5,600 ksi, and an allowable shear stress of...
(a) Both tube and solid bar shown in Figure 3 are made of aluminium alloy with shear modulus of elasticity of 27 GPa. Analyse the structure and explain the type of stress experienced by the circular tube and solid circular bar. Determine the maximum shear stresses in both the bar and tube, and determine the angle of twist (in degrees) at end A of the bar. Given I tube = 1.0848 x 10 mm. 500 cm 500 cm Tube thickness...
Problem 2: (34 pts) For the cylindrical tube (outer radius R. 100mm, initial thickness 1mm before loadings, length 1m) fixed at one end on the wall, an axial loading F = 1000 N and a torsional loading T = 100 N-m are applied. Assuming linear elasticity. Young's modulus E-1 GPa and Poisson ratio v = 0.33. (T = **where ) = (R: - R ) is the polar moment of inertia) a) Calculate the stress state (Cro, and Try) of...
Problem 2 (25 pts): A 3 in. diameter shaft of length L = 8 ft is fixed at end A. End C is free to rotate through an angle of 2.5º, but is rigidly prohibited from rotating more than 2.5º. Find torque To (applied at B), in kip-in, that will twist the crossbar at C into contact with the stoppers. Take G = 12,000 ksi. [Formula: Torsional Angle of Twist, 0 = (TL) (JG); Torsional Shear Stress, T = (Tr)/J;...
5.4. A thin walled box section has two compart- ments as shown in Figure 5.26. The thickness of the section is constant. What is the shear stress in both the cells? Take a10 cm,8 mm. What will be the angular twist per unit length if G= 80 kN/mm"? Torque applied on shaft is 400 Nm. a Figure 5.26 Problem 5.4
machine design question Q1. Load and Stress Analysis The countershaft with the reverse gears attached to is shown in figure 2 with the dimension given in table 1. Gear A receives power from another gear with the transmitted force Fa applied at the pressure angle au as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force Fs at the pressure angle shown. You can find the values of the parameters in table...
3- Determine the maximum shear stress in the beam section shown in the figure. Determine also the rate of twist of the beam section if the shear modulus G is 25 GPa. 100 mm T-25 N.m 3 mm 3 mm 50 mm 80 mm 2 mm 3- Determine the maximum shear stress in the beam section shown in the figure. Determine also the rate of twist of the beam section if the shear modulus G is 25 GPa. 100 mm...
Extra Credit) A gear reduction unit uses the countershaft shown in the figure. Gear A receives power from another gear with the transmitted force FA applied at the 20° pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force FB at the pressure angle shown. (a) Determine the force FB, assuming the shaft is running at a constant speed. (b) Find the magnitudes of the bearing reaction forces, assuming the...