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

Induction heating, Induction Heating: Alternating current throughout i...

Induction Heating: Alternating current throughout induction coil adjacent the part to be treated induces eddy current via the part that is so heated. The benefit of such heati

Heavy traffic areas in pumps, Q. Heavy traffic areas in pumps? These ar...

Q. Heavy traffic areas in pumps? These are areas around pumps, filters, control valves, PSV's and other equipment requiring frequent maintenance or servicing. Piping attache

Draw the bending moment and shear force diagram, Draw the bending moment an...

Draw the bending moment and shear force diagram for the following cases : a) A cantilever beam of length (L) carrying a Point load (W)at its free end. b) A simply supported b

First law of thermodynamics, common formula for first law of thermodynamics...

common formula for first law of thermodynamics #Minimum 100 words accepted#

Elongation due to self weight, Elongation due to self weight of uniform tap...

Elongation due to self weight of uniform tapered cone bar

Thermodynamics, Show that the entropy maximum principle encountered in the ...

Show that the entropy maximum principle encountered in the study of isolated system is equivalent to the statement that the nonflow exergy of an isolated system is destined to decr

Static friction, Static Friction: When applied force is less than limiting...

Static Friction: When applied force is less than limiting friction, body remains at rest and this type of frictional force is called as static friction and this law is called as l

Clearance volume, Clearance Volume ( V C ) : The nominal volume of the c...

Clearance Volume ( V C ) : The nominal volume of the combustion chamber above the piston when it is at the top dead centre is the clearance volume. It is designated as V C an

What do you mean by thermil-welding, What do you mean by Thermil-welding ? ...

What do you mean by Thermil-welding ? Describe the process with neat sketch.

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