A groove is machined into the circumference of a steel shaft held in cantilever and supporting abevel (miter) gear mating to an identical gear with an axis 90° to intersecting shaft axis. The normalforce is known to be Fn = 8500 N and the tangential force is Ft = 5500 N. For a stress elementlocated at point A on the diagram and assuming the shaft is rotating, determine the properties ofthe cyclic stress wave listed below, for one full revolution of the shaft. Include the stressconcentration factors and use maximum distortional energy theory for stress analysis.a) Omin (minimum stress)b) omax (maximum stress)c) Om (mean stress)d) σαe) or (stress range)(alternating stress/stress amplitude)D = 60 mmShaft diameter atbase of notchd = 50 mmr = 6 mmMachined SurfaceFn200 mm45°Point AMating bevel gearFtInto page100 mm

Answered: Image /qna-images/answer/17512051-d7b1-47d5-a042-573d48894c04.jpg

A groove is machined into the circumference of a steel shaft held in cantilever and supportin bevel (miter) gear mating to an identical gear with an axis 90° to intersecting shaft axis. The norr force is known to be Fn = 8500 N and the tangential force is Ft = 5500 N. For a stress elem located at point A on the diagram and assuming the shaft is rotating, determine the properties the cyclic stress wave listed below, for one full revolution of the shaft. Include the str concentration factors and use maximum distortional energy theory for stress analysis. a) Omin (minimum stress) b) omax (maximum stress) c) Om (mean stress) d) a (alternating stress/stress amplitude) e) or (stress range)

A groove is machined into the circumference of a steel shaft held in cantilever and supportin bevel (miter) gear mating to an identical gear with an axis 90° to intersecting shaft axis. The norr force is known to be Fn = 8500 N and the tangential force is Ft = 5500 N. For a stress elem located at point A on the diagram and assuming the shaft is rotating, determine the properties the cyclic stress wave listed below, for one full revolution of the shaft. Include the str concentration factors and use maximum distortional energy theory for stress analysis. a) Omin (minimum stress) b) omax (maximum stress) c) Om (mean stress) d) a (alternating stress/stress amplitude) e) or (stress range)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The vertical stress at point P1 due to the point load Q on the ground surface as shown in figure is sigma_{z} According to Boussinesq's equation, the vertical stress at point P2 shown in figure will be
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S, = 8.0 ksi, S, = 10.5 ksi, and Sxy = 8.0 ksi. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) (c) Compute the absolute shear stress at the point. Sy Sxy S.
7
Solve alll subparts b, c, d and e B) determine the principal plane (for σmax) in radians. C) Determine the shearing stress in a plane, which is 330 with the vertical (clockwise). D) determine the normal stress (in MPa) in a plane, which is 330 with the vertical (clockwise). E) determine the minimum values of θ (in radians) for which the normal stress is the equal to or less than 35.2 MPa.
The stresses shown act at a point in a stressed body. The stress magnitudes are S, = 100MPA and S, = 245 MPa, acting in the directions indicated in the figure. Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown. Assume B = 55°. Sy Answer: Sn = MPa Snt = MPa
need help with assignment thankss....(especially the mohrs circle part for the graph) x=4, y=4, A=13
3
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sy-17 MPa, S, - 60 MPa, and Swy- 29 MPa. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses (ơp > op2) and the maximum in-plane shear stress Tmax acting at the point. (c) Find the smallest rotation angle 0, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g, see Figure 12.15 or Figure 12.16) Say Answers: MPa. Opl = MPa. MPa. Tmax = 0, =
The stresses shown act at a point on the free surface of a machine component. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 12.4 ksi, Sy = 3.5 ksi, and Sxy = 3.6 ksi. Assume β=29∘. Determine the normal stresses σx and σy and the shear stress τxy at the point.
Consider a point in a structural member that is subjected to plane strèss. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S= 24 MPa, Sy= 34 MPa, and Sy= 31 MPa. (a) Determine the principal stresses (o,1 > O2) and the maximum in-plane shear stress Tmax acting at the point. (b) Find the smallest rotation angle 0, (counterclockwise is positive, cločkwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) Answers: MPа. MPa. Op2 = MPa. Imax =
At a point on the free surface of a stressed body, a normal stress magnitude of Sy = 63 MPa (C) and an unknown positive shear stress exist on a horizontal plane. One principal stress at the point is 9 MPa (C). The absolute maximum shear stress at the point has a magnitude of 81 MPa. Determine the unknown stresses on the horizontal and vertical planes and the unknown principal stress at the point. S, Sxy S Answers: i MPa Txy = i MPа Op2 = i MPa
The stresses shown act at a point in a stressed body. The stress magnitudes are Sx = 85 MPa and S, = 220 MPa, acting in the directions indicated in the figure. Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown. Assume B = 51°. S ↑ Answer: Sn = MPa Snt = MPа