. Estimate the torque on a 15 mm diameter steel shaft when yielding begins using (a) the Tresca and (b) the von Mises theory. The yield strength of the steel is 140 MPa.
. Estimate the torque on a 15 mm diameter steel shaft when yielding begins using (a)...
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...
(30 pts) Shaft Yielding. A solid circular shaft with 125 mm diameter rotates in bearings at 30 rad/s. Transverse loadings produce a maximum bending moment of 10 kNm. (For 3. e meaning of transverse loading see the image below.) Given the tensile yield strength th of the shaft material as 300 MPa, find the power this shaft can transmit according to the Tresca and von Mises yield criteria. Hint: You may need to use Engineer's Theory of Bending (ETB) to...
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...
1. A torque is applied to a steel shaft. Using the Von Mises failure theory, determine the diameter (d) required. The shaft is 5 m long, allowable normal stress is 100 MPa, and don't forget, the shaft must also support it's own weight, so density is equal to 7.86Mg/m3. The shaft is supported by frictionless bearings on both sides.
A solid circular shaft 125 mm diameter rotates in bearings at 30 rad/s. Transverse loadings produce a maximum bending moment of 10 kNm. Given the tensile yield stress of the shaft material as 300 MPa, find the power this shaft can transmit according to the Tresca and von Mises yield criteria.
An overhanging steel beam is used to carry a uniformly distributed load over a 2-metre length as shown. The yield stress of steel is ơyield-350 MPa. Check if the cross section of the beam at section a-a is safe against yielding, (a) using the maximum distortion energy criterion (Von Mises criterion) (b) using the maximum shear stress criterion (Tresca) 15 mm w-12 kN/m 15 mm 120 mm 2000 mm 15 mm 3000 mm 3000 mm 6000 mm 60 mm
An...
air under a pressure to 16 MPa. The tank has a 180 mm inner diameter and a 12 mm wall thickness (40 points) A torque of magnitude T-24kN-m is applied to the end of a tank containing 3. Part A. For a point on the outer surface of the tank, determine: a. the maximum normal stress b. the maximum shearing stress Part B. As a result of several tensile tests, it has been found that the tensile yield strength for...
Determine the required diameter of a steel transmission shaft 10 m in length and of yield strength 350 MPa in order to resist a torque of up to 500 N-m. The shaft is supported by frictionless bearings at its ends. Design the shaft with a factor of safety of 1.5 according to (a) the maximum shear stress theory and (b) the maximum distortion energy theory
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.
Question 1 Shaft AB is supported at B by a roller support and at A by a pin support as well as a spline that prevents rotation around x axis. The diameter of the shaft is D. At cross section A-A there is a relief groove where the minimum diameter is d. Two loads, F, and one torsion moment, T, are acted on the shaft. The material of the shaft is aluminum 7075, Sy = 495 MPa. Also known: L=630...