Which failure theory would be appropriate to solve the following problem: A rotating shaft is supported by bearings at each end. The shaft supports a single load in the center.
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- Carbon Steel L=100mm dsmall= 20mm moment of inertia ratio between stepped cross-sectional area = 1:2 F=2500 N at A and a fillet radius at the step of 2mm -loading cycles that the design can withstand before fatigue failure - calculate cycles using goodman line and max stress from static analysis. -determine the effect of the 2mm fillet ratio on the fatigue analyisis. constant force at AA shaft made of steel receives 7.5 kW power at 1500 r.p.m. A pulley mounted on the shaft as shown in Fig. has ratio of belt tensions 4. The gear forces are as follows : F, = 1590 N; F, = 580 N Pulley Gear F1 A D F, -100 : 200- 100→ All dimensions in mm. Design the shaft diameter by maximum shear stress theory. The shaft material has the following properties : Ultimate tensile strength = 720 MPa; Yield strength = 380 MPa; Factor of safety = 1.5.A simply supported shaft is shown. A constant magnitude distributed unit load p is applied as the shaft rotates subject to a time-varying torque that varies from Tmin to Tmax. For the data given, find the diameter of shaft required to obtain a safety factor of 2 in fatigue loading if the shaft is steel of Sut = 745 MPa and Sy = 427 Mpa. Assume no stress concentrations are present. Dimensions: L = 8 cm, a = 4 cm, b = 8 cm, p = 1000 N/cm, Tmin = 0 N-m, Tmax = 2000 N-m STEP-BY-STEP don't understand English very well, so please write in clear letters. please!
- pls find box ur answer Determine the value of the von Mises stress at point A. The von Mises stress at point A is This problem illustrates that the factor of safety for a machine element depends on the particular point selected for analysis. Here you are to compute factors of safety, based upon the distortion-energy theory, for stress elements at A and B of the member shown in the figure. This bar is made of AISI 1006 cold- drawn steel and is loaded by the forces F= 0.55 kN, P = 4 kN, and T = 25 N-m. Given: Sy= 280 MPa. 5 15-mm D. 100 mm- MPa.A mechanism used in a punchingmachinery consists of a tension spring assembled with a preload of 30 N. The wire diameter of spring is 2 mm with a spring index of 7. The spring has 10active coils. The spring wire is hard drawn and oil tempered having the following material properties:Design shear stress = 780 MPa Modulus of rigidity = 80 kN/mm2Identify (a) the initial torsional shear stress in the wire, (b) the spring rate, and (c) the force to cause the body of the spring to reach its yield strength.A rotating shaft of 40×4 mm AISI 1018 cold-drawn steel tubing has a 6 mm diameter hole drilled transversely through it. Estimate the factor of safety guarding against fatigue and static failures using the Gerber and Langer failure criteria for the following loading conditions: a. The shaft is subjected to a completely reversed torque of 120 N.m in phase with a completely reversed bending moment of 150 N.m. b. The shaft is subjected to a pulsating torque fluctuating from 20 to 160 N.m and as steady bending moment of 150 N.m.
- = A shaft of circular cross-section with diameter 100 mm is sub- jected to a bending moment of M = 10 kN.m, torque T = 30kN.m, and axial load F = 50 kN. Consider for the material of the shaft a yield strength of oy 750 MPa. Determine the design factor of safety using Tresca and von Mises Theories. Hint: find the point in the shaft that would be subjected to the largest stresses caused by the forces applied. Refer the the lecture. Example of Tresca with the inclusion of safety factor: 01 - 03 2 Where N is the safety factor. = бу 2NA hard-drawn steel wire extension spring has a wire diameter of 4mm, an outside coil diameter of 28 mm, and initial tension of 1200 N is applied to the spring. The spring shows an extension of 85 mm. The approximate number of turns is 25. From the given information: Determine the physical parameters of the spring such as mean diameter, spring index, maximum shear stress, total number of turns, Wahl’s stress factor, free length of the spring, and pitch of the coilProblem 2 A sector of a steel plate with endurance limit Se = 400 MPa, and ultimate strength Sut = 1000 MPa, has a stress state defining with the following cycle parameters calculated with von Mises criterion: = 130 MPa ση σα max-Mises max-Mises = = 400 MPa. Calculate the useful life in cycles according to Goodman criterion considering an equivalent cycle of completely inverted stress. Take n = 1 and work it in in sector of high cycle and finite life.
- A solid shaft made of a ductile brass alloy is subjected to an array of loads, resulting in the following principal stresses: • 01= +40.84 ksi • 02 = -12.55 ksi Which of the following yield stresses would result in the maximum shear stress theory expecting failure, but not the maximum energy distortion method? O oy = 40 ksi O o, = 60 ksi %3D O oy = 50 ksi O oy = 20 ksiA solid cylindrical shaft made of AISI 1020 steel(quenched and tempered at 870oC) rotates at a speedthat produces a safety factor of 2.5 against the stresscausing yielding. To instrument the shaft, a small hole isdrilled in its center for electric wires. At the same timethe material is changed to AISI 1080 steel that has beenquenched and tempered at 800oC. Find the safety factoragainst yielding of the new shaft.2. Justify the simplification of this problem to only modeling one-eighth of the cross section 3. Construct two-dimensional elements grid (i.e., grid/mesh region), make the correct numbering and labeling of the nodes and elements.