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

Related questions

Q: The state of stress at a point in a member is shown on the rectangular stress element in (Eigure 6)…

A: So angle is clockwise and θ=-30°σx=31ksiσy=-38ksiτxy=0

Q: Three bars are joined end to end as shown. Determine the maximum shear stress in BC and the maximum…

A: FBD FOR AB: CUT AB SUCH THAT FREE END OF A IS THEIR: FROM EQUILIBRIUM ∑FY=0-F1+15=F1=15…

Q: Find the stress resultants N, V and M, draw the diagrams of the stress resultants (N,V,M). q =…

A: answer and diagrams are provided on the picture uploaded.Explanation:

Q: A thin rectangular plate having the dimensions of a -20 mm and b-12 mm is acted upon by a stress…

A: A rectangular plate given asThe resulting strain Need to findChange in length in diagonal AC and QB

Q: [0.0016 [o] = 0.0003 0 0.0003 0.0008 0 0 0 0.0004. a. Determine the strain matrix for this strain…

A: Data given Find: (a) Determine the strain matrix for the given strain state if the x and y axes…

Q: The stresses shown act at a point in a stressed body. The stress magnitudes are S, = 90 MPa and S, =…

Q: The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on…

Q: The stresses shown act at a point on the free surface of a machine component. Normal and shear…

A: The given data is shown below: Sx=12.4 ksiSy=3.5 ksiSxy=3.6 ksiβ=29°

Q: The stresses shown act at a point on the free surface of a machine component. Normal and shear…

A: Using transformation equation

Q: The rectangular plate is subjected to force P that causes elongation in the horizontal direction and…

Q: [20 10 01 [o] 10 100 0 0 5] a. Determine the stress matrix for this stress state if the axes are…

A: Data given Find: (a) Determine the stress matrix for the given stress state if the axes are…

Q: The 2 D stress at a point is given by the matrix Txy 50 15 MPa. The maximum 15 10 6. II = Tyx yy…

A: To Find :The max shear stress ?

Q: Question 2 Referring to the stresses on the surfaces of an element in Figure Q.1, determine : (a)…

Q: he stresses shown act at a point on the free surface of a machine component. Normal and shear stress…

A: In design of structural member the body should remain in equilibrium not only with respect to…

Q: Q3(b) If the yield stress in the tensile test is equal to oy, sketch the yield (or failure) surface…

Concept explainers

Solid Mechanics

Engineering mechanics is a branch of science that deals with forces causing bulk motion in bodies and the effect that these forces cause on the bodies. Engineering mechanics does not deal with the internal changes that occur on account of these external forces. The internal effects in a body or a material under the action of external forces are studied in a new branch of science called solid mechanics, the strength of materials, or the mechanical behavior of engineering materials.

Question

A groove is machined into the circumference of a steel shaft held in cantilever and supporting a
bevel (miter) gear mating to an identical gear with an axis 90° to intersecting shaft axis. The normal
force is known to be Fn = 8500 N and the tangential force is Ft = 5500 N. For a stress element
located at point A on the diagram and assuming the shaft is rotating, determine the properties of
the cyclic stress wave listed below, for one full revolution of the shaft. Include the stress
concentration factors and use maximum distortional energy theory for stress analysis.
a) Omin (minimum stress)
b) omax (maximum stress)
c) Om (mean stress)
d) σα
e) or (stress range)
(alternating stress/stress amplitude)
D = 60 mm
Shaft diameter at
base of notch
d = 50 mm
r = 6 mm
Machined Surface
Fn
200 mm
45°
Point A
Mating bevel gear
Ft
Into page
100 mm

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

q10At a point in a two dimensional stress system, the normal stress on two mutually perpendicular planes are o and o and shear stress is t One of the principal stresses will become zero when the value of shear stress Txy is (a) ±(0) (c) ±/0 +0yy (d) +/oo yy
Sketch Mohr circle for the shown element. Use Mohr Circle to determine the normal stresses On and Ot and the shear stress Tat at this point if they act on the rotated stress element shown. Verify your results (On, Ot, Tat) using stress transformation eqns. 1,100 psi Tnt 1,750 psi On 20° 2,900 psi Illustrate the following on Mohr circle: center of Mohr Circle, reference point A, principle stresses, max in-plane shear stress, orientation of principal stresses Op1 and Op2, orientation of max in-plane shear stress,Os )
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.
Consider the state of plane stress shown. (Hint: Consider both in-plane and out-of-plane shearing stresses.) 7 ksi Determine the maximum shearing stress when ox- 18 ksi and ay = 8 ksl. The maximum shearing stress is ksi.