Cantilevered beam, Mechanical Engineering

Assignment Help:

A cantilevered beam is to be made of 7075-T6 aluminum with a uniaxial yield strength of 469 MPa. The beam is 1m long, and is loaded with the following limit loads: a bending moment of 1 kN-m and an axial torque of 2 kN-m (these are applied simultaneously).  Neglect stress concentrations at the wall [due to warping effects, in part b, the maximum torsion stress at the wall will be greater than that expected from simple mechanics of materials, but you may use the mechanics of materials approach here].

a) Suppose a solid circular shaft is to be made of this material.  Determine the minimum diameter required to ensure that no yielding occurs at the limit load?  Use the Von Mises criterion.  Justify your work clearly. As part of your work, indicate clearly the x-y-z coordinate(s) of the critical point used in your analysis, and how this is determined.

b) Suppose a solid square shaft is to be made of this material.  Determine the minimum side length required to ensure that no yielding occurs at the limit load?  Use the Von Mises criterion. Justify your work clearly. As part of your work, indicate clearly the x-y-z coordinate(s) of the critical point used in your analysis, and how this is determined.

c) Compare the two cases and comment.  Which of the two structures will be lighter? Also suggest alternate designs (still using aluminum) that might be lighter still (no calculations needed here, but justify/explain your reasoning).


Related Discussions:- Cantilevered beam

Strain, is strain in bending important parameter to consider?

is strain in bending important parameter to consider?

Zeroth law - thermodynamics, Equalit y of Temperature: Two systems ar...

Equalit y of Temperature: Two systems are having equal temperature if there are no changes in their properties when they are kept in thermal contact with each other. Zer

Governors, friction characteristics

friction characteristics

Principals, do you know the grade to the answers of the questions in the pr...

do you know the grade to the answers of the questions in the pre paid solutions..?? and what if the answers are wrong..?? as i need all working out shown

Calculate the feed in drilling operation, Calculate the feed in Drilling Op...

Calculate the feed in Drilling Operation Calculate the feed in m/min if a drill makes 200 revolutions per minute and penetrates to a distance of 3 mm per revolution. Solut

TURBINE, Is it possible to rotate turbine blades without any fluid means th...

Is it possible to rotate turbine blades without any fluid means there is no requirement of water or air to rotate turbine blade. blades may rotates with the help of spring compress

Evaluate force to slide the body over the surface, Evaluate Force to slide ...

Evaluate Force to slide the body over the surface: A body having weight 100N rests on rough horizontal surface (µ = 0.3) and is acted upon by a force applied at an angle of 3

The diameter dimension command, The Diameter Dimension Command You can ...

The Diameter Dimension Command You can use the Diameter command to annotate a circle or an arc with a diameter dimension. To achieve this simply start the command, pick a point

Hydro turbine, in hydro turbine vaccum is present in casing or not? & if no...

in hydro turbine vaccum is present in casing or not? & if not then how suction is take place?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd