Compute the cross-sectional area, Physics

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.

Posted Date: 2/20/2013 5:33:52 AM | Location : United States

Related Discussions:- Compute the cross-sectional area, Assignment Help, Ask Question on Compute the cross-sectional area, Get Answer, Expert's Help, Compute the cross-sectional area Discussions

Write discussion on Compute the cross-sectional area
Your posts are moderated
Related Questions
Cart and The Brick Collisions among objects are governed through laws of momentum and energy. While a collision occurs in an isolated system, a total momentum of the system of

explain origin of dimagnetsm on the basis of its atomic structure

The fabrication of discrete and integrated circuit solid state devices requires semiconductor crystals with impurity concentrations as low as possible and crystals that contain ver

Imagine an elctromagnetic wave propagating vacuum with electric field Ex=10 2 sinπ(3x10 6 z - 9x10 14 t) V/m, E y =0, E z = 0. Calculate the speed, frequency, wavelength, initial

It is an instrument used to detect small current passing by it by showing deflection. Galvanometers are of dissimilar types e.g. moving coil galvanometer, moving magnet galvanomete

The Centralia power plant emits SO 2 at the rate of 150 g/s. It has an effective stack height of 50 m. Surface winds at 10 m are steady at 2.5 m/s and it is a fall afternoon. a

#question 1:successive disintegration in nucluer physics

An object with a mass of 5 kilograms is a distance of 5 meters above the surface of the earth.  If the acceleration because of gravity is 10 meters per second squared, the pote

Demonstrating the cause of the phases of the moon Place a lighted candle or electric lamp on a table in a darkened room. Paint an 8 cm rubber ball white. Hold the ball in your

The forced harmonic oscillations have same displacement amplitude at frequencies ω 1 = 400 Hz and ω 2 = 800 Hz. Evaluate the resonance frequency at which the displacement is maxi