Cantilevered beam, Mechanical Engineering

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).

Posted Date: 4/2/2013 3:52:17 AM | Location : United States







Related Discussions:- Cantilevered beam, Assignment Help, Ask Question on Cantilevered beam, Get Answer, Expert's Help, Cantilevered beam Discussions

Write discussion on Cantilevered beam
Your posts are moderated
Related Questions

Are a Moment of Inertia Moment of force about a point is product of the force ( F ) and perpendicular distance ( d ) between point and line of action of that is F.d. This mome

Orthographic Projections: As you learned previously about the theory of projection of points, planes and lines, the next significant is the projection of solids that have thre

In a nuclear power plant saturated steam at 30 bar enters a h.p. turbine and expands isentrophically to a pressure at which its quality is 0.841. At this pressure the steam is pass

What is strap footing? Strap Footing You have to use cantilever or strap footings when the proximity of a property line precludes the use of other types for example an isola

how to do work in cam and follower?anser in hindi type

when 2 bodies are connected by a string show the direction of acceleration

Advantages of two stroke engine over a four stroke engine: The advantages of two stroke engine over a four stroke engine are stated below: 1. A two stroke engine has twice

Punches Figure: Punches A bar which carries a sharp point at one end and used to make a permanent mark on a part is called punch. The point is hard and tempered so tha

What are square footings? SQUARE FOOTINGS This type of footing, also termed an isolated spread footing is probably the most common, simplest and most economical of the vario