i have a lab report from past year need to be paraphrased
Strength of materials
MET 2120
Lab 1 & 2
Meshal Al-Khalil
· Introduction
In this lab we will learn about different stresses and strains in various materials, we will learn how to calculate different stresses, forces and deformation in different materials such as (Aluminum, and brass) we calculate these forces using a couple new formulas shown in the discussion part below.
· Calculations
· Calculations from ex. 9-3 & 9-5
|
section |
force (lbf) |
area (in^2) |
stress (lb/in^2) |
|
1 |
50000 |
3.14 |
15923.56688 |
|
2 |
10000 |
3.14 |
3184.713376 |
|
3 |
20000 |
3.14 |
6369.426752 |
|
|
|
|
|
|
section |
force (N) |
area (m^2) |
stress (N/m^2) |
|
1 |
140000 |
0.002827433 |
49514871.18 |
|
2 |
60000 |
0.001256637 |
47746482.93 |
|
3 |
20000 |
0.000314159 |
63661977.24 |
· Graphs that show how the force effects the stress
· Calculations from lab 2
|
INPUT FROM 10-2 |
||||
|
Element |
Elasticity (n/m^2) |
Area (m^2) |
Length (m) |
Force (N) |
|
1 |
7.00E+10 |
0.000314159 |
3.078760801 |
25000 |
|
OUTPUT from 10-2 |
|||
|
Element |
Normal stress |
Unit deformation |
Total deformation (m) |
|
1 |
|
|
0.0035 |
|
INPUT FROM 10-8 |
||||
|
Element |
Elasticity (n/m^2) |
Area (m^2) |
Length (m) |
Force (N) |
|
1 |
7.00E+10 |
0.000706858 |
2 |
30000 |
|
2 |
7.00E+10 |
0.000706858 |
1.5 |
20000 |
|
3 |
|
|
|
|
|
4 |
|
|
|
|
|
5 |
|
|
|
|
|
OUTPUT from 10-8 |
||||
|
Element |
Normal stress (Pa) |
Unit deformation (mm) |
Total deformation (mm) |
Stress is in |
|
1 |
42441318.16 |
1.21260909 |
|
Tension |
|
2 |
28294212.11 |
0.606304545 |
|
Tension |
|
3 |
|
|
1.818913635 |
|
|
INPUT FROM 10-9 |
|||||
|
Element |
Elasticity (Psi) |
Area (in^2) |
Length (in) |
Force (lb) |
Stress is in |
|
1 |
1.70E+07 |
2 |
36 |
30000 |
Tension |
|
2 |
1.70E+07 |
2 |
24 |
10000 |
Compression |
|
3 |
1.70E+07 |
2 |
48 |
20000 |
Tension |
|
OUTPUT from 10-9 |
|||
|
Element |
Normal stress (Psi) |
Unit deformation (in) |
Total deformation (in) |
|
1 |
15000 |
0.031764706 |
|
|
2 |
5000 |
-0.007058824 |
|
|
3 |
10000 |
0.028235294 |
|
|
|
|
|
0.052941176 |
|
INPUT FROM 10-11 |
|||||
|
Element |
Elasticity (Pa) |
Area (m^2) |
Length (m) |
Force (n) |
Stress is in |
|
1 |
2.1E+11 |
0.000706858 |
1.2 |
100000 |
Tension |
|
2 |
2.1E+11 |
0.001256637 |
1.8 |
125000 |
Compression |
|
3 |
2.1E+11 |
0.000490874 |
1.7 |
50000 |
Tension |
|
OUTPUT FROM 10-11 |
|||
|
ELEMENT |
Normal stress (PA) |
Unit deformation (mm) |
Total deformation (mm) |
|
1 |
141471060.5 |
0.80840606 |
|
|
2 |
99471839.43 |
-0.852615767 |
|
|
3 |
101859163.6 |
0.824574181 |
|
|
|
|
|
0.780364475 |
· Discussion
In this lab you can find that the highlighted boxes are what we calculated during this lab the rest are given in the example.
· In the first part of the lab we were given an example (ex.9-3 & 9-5) and we had to calculate the normal stress, we did this first by calculated the area by using (pi/4)(d)^2 then we plugged in into the normal stress equation which is σ = F/A
pi = 3.14
F = Force
D = diameter
A = area
· In the second part of the lab ex. 10-2 we had to calculate the original length of the material, we did this by manipulating the elongation formula in order to find the length
The elongation formula δ = (F)(L)/(A)(E)
δ = elongation
L = Length
E = material elasticity
We found the length by using L = (δ)(A)(E)/(F)
· In examples 10-8, 10-9 and 10-11 we had to calculate the deformation of each unit then the total deformation of our material
We first calculated the normal stress using σ = F/A
Then we calculated the deformation of each section of our material using the elongation formula, which is [δ = (F)(L)/(A)(E)]
We took the deformation from each section and added them to get the total deformation of our material.
· Conclusion
force and stress in figure 9-3
force (lbf)50000.0 10000.0 20000.0 stress (lb/in^2)
15923.56687898089 3184.713375796178 6369.426751592356
force and stress in figure 9-5
force (N)140000.0 60000.0 20000.0 stress (N/m^2)
4.95148711841452E7 4.77464829275686E7 6.36619772367581E7
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