Question

In: Mechanical Engineering

A high carbon steel shaft is used in an engine and subjected to different loads. In...

A high carbon steel shaft is used in an engine and subjected to different loads. In order to
analyse the stress in the shaft, consider a rectangular element within the material. This
element is subjected to compressive stress of 135 MPa and shear stress of 166MPa in the
vertical direction. The compressive stress in the horizontal direction is 176MPa with a shear
stress of 115MPa.
a. Sketch the state of stress on this element.
b. Determine the maximum and minimum normal and shear stresses and their plane of
orientation.
c. If the yield strength of the material is 350MPa, Poison’s ratio is 0.32, and factor of
safety is 5, determine the diameter of the shaft to avoid failure.
d. What will be the difference in the analysis above if there is an additional torsional
load (T) and bending moment (M).
e. Show how you can use any theory of failure to design this shaft.
f. What are the challenges of applying the theories of failure in actual engineering
practice and as a design engineer, how would you deal with these challenges.

Solutions

Expert Solution


Related Solutions

For steel member is subjected to cyclic loads, The experimental results indicated failure at a number...
For steel member is subjected to cyclic loads, The experimental results indicated failure at a number of cycles of 52 when the maximum stress is 1071 MPa. Also, failure at a number of cycles of 380,000 when the applied maximum stress is 506 MPA. Find the fatigue equations for stress vs number of cycles using σ = A NB And σ = A (2N)b 2) Plot on the same diagram both functions 3) Discuss the results of the two plots....
A shaft cycles such that each bearing undergoes the radial loads of 30% of the time...
A shaft cycles such that each bearing undergoes the radial loads of 30% of the time at 20kN, 50% of the time at 25kN, and 20% of the time at 30kN. If the design life of a bearing is to be at least 5e6 revolutions, select the smallest 03 series cylindrical roller bearing that will accomplish this.
Compare Mild Steel & High tensile steel used in the construction industry
Compare Mild Steel & High tensile steel used in the construction industry
Compare Mild Steel & High tensile steel used in the construction industry
Compare Mild Steel & High tensile steel used in the construction industry
A plain bearing used in industrial application operates at high speed under very high loads. All...
A plain bearing used in industrial application operates at high speed under very high loads. All elements of this plain bearing (bearing and journal) are made of 080M40 steel. In order to prolong the life of the mattress, you are asked to replace one element of the plain bearing with the materials in the list below (journal or bearing will replace only one). Why which material would you choose? Rice Bullet Teflon Note to question 1: To reach the answer...
Why do the cast iron, carbon steel, and the tempered steel have different behavious about tensile...
Why do the cast iron, carbon steel, and the tempered steel have different behavious about tensile stress-strain, and how would that be different?
A solid shaft is designed to twist no more than an angle of 2º when subjected...
A solid shaft is designed to twist no more than an angle of 2º when subjected to a torque of 800 Nm. The shaft is 1 m long and made from a material that has a shear modulus, G = 70 GN/m2. Select an appropriate minimal diameter for the design specifications if Solid shaft was used. Hollow shaft of wall thickness 5mm was used. If the shaft is to rotate at 2000 rpm, determine the maximum power that can be...
The compound shaft shown in the figure consists of two steel [ G = 80 GPa ] pipe segments. The shaft is subjected to external torques T B and T C which act in the directions shown. Segment (1) has an...
The compound shaft shown in the figure consists of two steel [ G = 80 GPa ] pipe segments. The shaft is subjected to external torques T B and T C which act in the directions shown. Segment (1) has an outside diameter of 196 mm and a wall thickness of 8 mm. Segment (2) has an outside diameter of 134 mm and a wall thickness of 13 mm. The torque is known to have a magnitude of T C...
A steel shaft is to be manufactured either as a solid circular bar or as a...
A steel shaft is to be manufactured either as a solid circular bar or as a circular tube. The shaft is required to transmit a torque of 1200 N_m without exceeding an allowable shear stress of 40 MPa nor an allowable rate of twist of0.75°/m. (The shear modulus of elasticity of the steel is 78 GPa.). Determine the required outer diameter do of the solid shaft [58.8 mm] Determine the required diameter d2of the hollow shaft if thethickness t of...
A .05 wide journal bearing supporting the loads on a 1 inch shaft just meets the...
A .05 wide journal bearing supporting the loads on a 1 inch shaft just meets the Trumpler’s design criteria for a FACTOR OF SAFTY OF 2.05. The bearing satisfies all the other Trumpler’s design criteria by much larger margin. Your colleague suggests that increasing the bushing width to 0.75 inches would be an adequate design and you would not need to conduct another journal bearing analysis because the greater width would result in a bearing which satisfy all of Trumpler’s...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT