the hollow tube down has an outside diameter of 45 mm and an inside diameter of 40 mm. the tube is made of an aluminum alloy with a minimum yield strength of 280 MPa. the bending load is F =1.5 kN, the axial load is P = 10kN and the twisting moment is T = 70 N-m. Determine the factor of safety based on the stress at point A using (a) the maximum shear stress theory and (b) the distortion energy theory
the hollow tube down has an outside diameter of 45 mm and an inside diameter of...
Consider a hollow aluminium tube. The outside diameter is 110 mm and inside diameter is unknown The tube must carry a tensile load of 450 kN. Determine the inside diameter of the tube if the allowable normal stress is 175 MPa. Make a sketch of the tube showing the load and list all the steps of the solution.
3. A beam with a hollow circular cross section of outer diameter D and inner diameter d. The length Lis fixed at a wall. Consider the following loading conditions, all applied to the beam at the midpoint of length L. For each loading scheme state determine the magnitude of that stress in terms of the variables given in the problem). (5 points) i. ii. iii. iv. V. Normal stress due to axial load F Shear stress due to torque T...
Problem 1 (33 pts) The hollow shaft of inside diameter 8 mm, outside diameter 12 mm, L - 1.2 m, and shear modulus G = 80 GPa is subjected to T. Shear stress Txy at point A located at the outside of the shaft was found to be 48.96 MPa. Find the rotation of the shaft at its free end (where T' is applied) in degrees. For a circular cross section of diameter d, the polar moment of inertia is...
A hollow circular steel shaft has a 100-mm outside diameter and a 75-mm inside diameter. Calculate the allowable torque that can be transmitted if the allowable shear stress is 62 MPa. When the allowable torque is applied, calculate the shear stress at the inner surface of the shaft.
A hollow shaft is to transmit 20 kW at 300 rpm. The loading is such that a maximum bending moment of 1000 Nm is induced in the shaft, together with an additional axial thrust of 15 kN. The shaft is supported on bearings 1500 mm apart. The values of shock and fatigue factors in torsion and bending (Kt and Kb) are 1.25 and 1.75 respectively. The inside diameter is 0.8 times the outside diameter. Determine the outer diameter of the...
A low carbon steel shaft is designed to have a diameter of 30 mm. It is to be subjected to an axial load (P-30 kN), a moment (M-200 N-m), and a torque (T-300 N-m). Assume the yield stress for the steel is (280 MPa), the Poisson's ratio is (v= 0.29), and the safety factor is (1-1). Calculate the margin of safety using the following failure theories. a.) Rankine Criteria (Maximum Principal Stress) b.) Tresca Criteria (Maximum Shear Stress) c.) Saint...
Q.3. A hollow steel shaft ACB of outside diameter 50 mm and inside diameter 40 mm is fixed at ends A and B. Horizontal forces P are applied at the ends of a vertical arm that is welded to the shaft at point C. The allowable shear stress in the shaft is tall 45 MPa. Determine the maximum allowable force P 200 mm 200 mm 600 mm 400 mm
please answer 18.11 and 18.12 18.11 A steel ring with an outside diameter of 150 mm and an inside diameter of 100 mm is shrunk onto another steel ring with an inside diameter of 50 mm. An axial force of 56,54 kN is needed to push the rings apart. Calculate the pressure at the mating surface and the shrinkage allowance given that both rings are 20 mm thick and the coefficient of friction between the mating surfaces is 0,2. Using...
The shaft in the figure below is supported on journal bearings that do not offer any resistance to axial load. The yield strength of the material is Ơ,-300 MPa and the safety factor is FS-2.5 1) 2) 3) 4) Determine the reaction at the supports. Draw the shear force, bending and torsion moment diagrams Derive an expression for the components of the stress tensor at a cross section of the shaft Neglect the shear stress due to the transverse shear...
Stress Analysis 3. A 20-mm diameter rod made ofa ductile material with a yield strength of 350 MPa is subjected to torque of 100 N.m and a bending moment of 150 N.m. An axial force is then gradually applied. Determine the value of force when the rod begins to yield. Solve the problem two ways using the (a) Tresca theory (Maximum shearing stress theory) and (b) von Mises theory (Maximum distortion energy theory) [12+12 points 3. A 20-mm diameter rod...