- #1

Femme_physics

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## Homework Statement

A graded steel cylinder AISI 1030 is connected to a wall and loaded with axial forces.

http://img542.imageshack.us/img542/3959/fbd1.jpg

Given:

F = 30 [kN]

d1 = 35mm

d2 = 20mm

Elastic Model: E = 2x10

^{5}MPa

Safely coeffecient: 2

Yield strength limit: 440 MPa

Required:

1) Describe the course of the internal forces along the beam and the course of the efforts.

2) Check beam for strength

3) Calculate the total distortion of the beam

## Homework Equations

Presumably

http://img831.imageshack.us/img831/533/neededformulas.jpg

## The Attempt at a Solution

**Since I don't see a 3D drawing or references should I treat this problem like a 2D problem?**

1) I presume they're asking for a free body diagram here:

http://img694.imageshack.us/img694/9629/freebodydiag.jpg

2)

If I treat it like 2D:

Before I can use the formula: Sigma = F/A

I need to find A. So,

A = 1 x 0.020 + 2 x 0.035 = 0.09m

^{2}

sigma = F/A

sigma = 30+30(2.5)/0.09

sigma = 1166 N/mm

^{2}

3) http://img511.imageshack.us/img511/3645/deltal.jpg

Is that correct?

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