Calculation for stress-strain carves, Mechanical Engineering

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Calculation for Stress-strain carves:

 

528_Stress-strain carves for ductile materials.png

After reaching point D, if bar is strained further, a local reduction in cross section occurs in gauge length (that is, formation of neck). At this neck stress increases with decrease in area at constant load, till failure take place. Point F is called as 'rupture point. Note that all the stresses are based on original area of cross section in drawing curve of the given figure.
1. Yield strength =  1217_Calculation for Stress-strain carves.png      where (original area )  456_Calculation for Stress-strain carves1.png 

2. Ultimate strength =  1702_Calculation for Stress-strain carves2.png 
3. % Elongation = 64_Calculation for Stress-strain carves3.png

where LF   = Final length of specimen

L0 = Original length of specimen
 4. % Reduction in area =1137_Calculation for Stress-strain carves4.png

where AF  = Final area of cross section

A0  = Original area of cross section

5.  Young's modulus of elasticity, E 2141_Calculation for Stress-strain carves5.png

From the figure clastic limit is up to point B.


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