Compute the cross-sectional area, Physics

Assignment Help:

Assigned homework

a. The objective of this problem is to get a sense of the tradeoff between cross-section and stiffness for beam structural member. Consider a beam that is 1 meter long and is allowed no more than 0.5 kg mass. For this exercise we will use Aluminum 2024-T3, with the following properties.

2077_Compute the Cross-Sectional Area.png

Density: 2780 kg/m^3

Young's Modulus: 73.1 GPa

Shear Modulus: 28 GPa

Tensile Yield Stress: 345 MPa

Shear Yield Stress: 283 MPa

Using Excel, and the relationships described in lecture for beams, create a worksheet which allows you to answer the following questions. The worksheet will likely have the following columns.  

1. Given the density, length, and total mass of the aluminum beam, what is the volume of aluminum available, and what is the cross-sectional area?

2. The allowable area can be distributed in any shape we want. For this exercise we will consider only rectangular cross-sections. Although area is fixed by the beam mass, we can vary the aspect ratio to get different base and height dimensions. What are the equations for h and b in terms of A and aspect ratio r?

 3. For the cases of aspect ratio 100, 10, 1, 0.1, 0.01, what are the moments of inertia of the resulting cross-sections, the bending deflection, and the maximum stress due to bending?

4. For which aspect ratios does the bending stress exceed yield stress of the beam?

5. How much greater is the bending deflection than the shear deflection for the aspect ratio = 1 case?

b. Discuss / compare the factors needed to consider to accurately compute the wheel load of various transportation devices, starting with a unicycle, then a segway, tricycle, grocery shopping cart, an automobile and then a tank tread. Describe how it becomes increasingly difficult to accurately determine the wheel load and the factors needed to be considered to overcome those difficulties.


Related Discussions:- Compute the cross-sectional area

Describe the image produced by the lens, Q. An object of size 3.0 cm is pla...

Q. An object of size 3.0 cm is placed 14cm in front of a concave lens of focal length 21 cm. Describe the image produced by the lens. What happens if the object is moved further aw

Define current density, Q. Define: current density. Give its unit. The ...

Q. Define: current density. Give its unit. The amount of charge passing per unit time through unit area taken perpendicular to the direction of flow of charge at that point is

Centripetal force requirement- motions, Centripetal Force Requirement U...

Centripetal Force Requirement Uniform circular motion could be elaborates as the motion of an object within a circle at a constant speed. As an object moves within a circle and

What is a fiber optic system, What is a fiber optic system? This term c...

What is a fiber optic system? This term comprises all the essential elements to install a working unit.

Disintegration, successive disintegration derive equation for nb

successive disintegration derive equation for nb

Explain general theory of gravitation, Explain General Theory of Gravitatio...

Explain General Theory of Gravitation The idea of a gravitational field takes all the gravitational effects of a given mass like Earth and expresses them mathematically as a grav

Photo elasticity, what is the application of photo elasticity?

what is the application of photo elasticity?

Define angle of repose, Define angle of repose Consider a body resting ...

Define angle of repose Consider a body resting on a plane OA. Assume this plane OA is slowly raised from the horizontal position to incline it with the horizontal.

Find total acceleration vector - tangential velocities, 1. Krusty the Clown...

1. Krusty the Clown and Sideshow Bob have covered themselves in velcro, and shot themselves out of a large cannon so that they stick to a huge rotating velcro wheel (don't try this

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