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

What is the aim of pdes, What is the aim of PDES The aim of PDES is to ...

What is the aim of PDES The aim of PDES is to provide an interface which permits the exchange of data of the entire product development cycle and production cycle, see also PDE

Find the minimum power of the pump, Consider the power system as designed b...

Consider the power system as designed below. The duty fluid is water, and has a mass flow 0.75 kg/ s and all piping through which the liquid flows has diameter 1'', while the steam

Determine the force, Determine the force: Determine the force P needed...

Determine the force: Determine the force P needed to start block B illustrated in Figure moving to the right if the coefficient of friction is 0.3 for all surfaces of contact.

Sign convention - solving problems of beam, Sign convention which is used f...

Sign convention which is used for solving problems of beam: Although different sign conventions can be used, most of the engineers use following sign conventions for shear for

T-s n p-h diagram, can anybody tells me about t-s n p-h diagram? just about...

can anybody tells me about t-s n p-h diagram? just about the concept and working principle.can anybody help me? thank you. :)

Design of screw feeder and screw conveyor, A new process plant for ore proc...

A new process plant for ore processing is currently being planned. The design is only in the first stage. However, three requirements have already been clearly stated: - The bins s

Pneumatic circuit, fully automatic pnuematic cicuit explanation#Minimum 100...

fully automatic pnuematic cicuit explanation#Minimum 100 words accepted#

Screw driver-tool and equipment , Screw Driver: Screwdrivers of different ...

Screw Driver: Screwdrivers of different sizes are used to tighten or loosen screws. These are made of vanadium steels. A typical screw driver is shown in Figure. Fig

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