Hi, I am having trouble understanding this scenario and any help would be very appreciated. :) I have three bars of 6061 aluminium alloy and I want to two graphs showing all of their performances. The three bars have the data as follows;  Bar 1: Cross Sectional Area = 10 mm2 Length = 40 cm Bar 2: Cross Sectional Area = 20 mm2 Length = 40 cm Bar 3: Cross Sectional Area = 10 mm2 Length = 70 cm (a) how would I make a graph showing the three bars' structural performance in tension? (b) how would I make a graph showing the three bars' performance in tension till their yield? Any help would really be appreciated thank you!

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Hi, I am having trouble understanding this scenario and any help would be very appreciated. :)

I have three bars of 6061 aluminium alloy and I want to two graphs showing all of their performances. The three bars have the data as follows; 

Bar 1:

      • Cross Sectional Area = 10 mm2
      • Length = 40 cm

Bar 2:

      • Cross Sectional Area = 20 mm2
      • Length = 40 cm

Bar 3:

      • Cross Sectional Area = 10 mm2
      • Length = 70 cm

(a) how would I make a graph showing the three bars' structural performance in tension?

(b) how would I make a graph showing the three bars' performance in tension till their yield?

Any help would really be appreciated thank you!

 

Expert Solution
Step 1

This scenario can be addressed with a simple approach. You can either
1) Use already available data which contains the loads and corresponding deflections to plot the graph.
or
2) Conduct a tension test on the three bars in the tensile testing machine or Universal testing machine and obtain the loads and corresponding deflections till the material yields to plot the graph.

The data can be plotted in the following table

1 2 3 4 5
SL NO. Load (P) in kN Deformation (mm) Stress (P/A) Strain Change in lengthGauge length
1 5      
2 10      
3 15      
4 20      
5 25      
6 30      
7 35      
8 40      

Gauge length = 5 x Diameter of the bar
When the bar is fixed in the machine and load is applied, the deflection in the bar when it gets elongated is displayed in the machine. For noting the deflection the load values are fixed as shown in the above table. When the load on the bar reached the value mentioned in the table, the corresponding deflection should be noted against the load. This procedure should continue till the load increase stops and a sudden temporary decrease in load is observed, the point at which the load suddenly decreases temporarily is the yield point. This table can be prepared for three bars separately.

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