Respuesta :
Answer:
Condition 2 is true.
[tex]\epsilon_{test}>\epsilon_{yield}[/tex]
we can not calculate the load with given information.
According to above values, Condition 2 is satisfied so we can not find the load with given information because material deformation lies in plastic region.
Explanation:
In order to check whether we can find the load or not we have to check the following conditions:
Condition 1:
[tex]\epsilon_{test}<\epsilon_{yield}[/tex]
If this condition is true then we can calculate the load.
Condition 2:
[tex]\epsilon_{test}>\epsilon_{yield}[/tex]
If this condition is true then we can not calculate the load with given information.
Calculating [tex]\epsilon_{test}[/tex]:
[tex]\epsilon_{test}=\frac{Elongation}{original\ length}[/tex]
[tex]\epsilon_{test}=\frac{7.6\ mm}{250\ mm}\\ \epsilon_{test}=0.0304[/tex]
Calculating [tex]\epsilon_{yield}[/tex]:
[tex]\epsilon_{yield}=\frac{Yield\ Stress}{Elastic\ modulus}\\ \epsilon_{yield}=\frac{280\ Mpa}{105*10^3\ MPa} \\\epsilon_{yield}=2.67*10^{-3}=0.00267[/tex]
Hence:
Condition 2 is true.
[tex]\epsilon_{test}>\epsilon_{yield}[/tex]
According to above values, Condition 2 is satisfied so we can not find the load with given information because material deformation lies in plastic region.