Define streu 4 strain wwth dimnxien fornula

1.	Define streu 4 strain wwth dimnxien fornula
Answer» Stress is defined as force applied on area. Mathematically,Stress = Force / Area Dimensional Formula of Force= M1L1T-2[Check how Dimensional Formula of force is derived]Dimensional Formula of Area= M0L2T0[Check how Dimensional Formula of area is derived] Putting these values in above equation we get,Dimensional Formula of Stress = (M1L1T-2)/(M0L2T0) Dimensional Formula of Stress = M1L-1T-2SI unit of Stress is Nm-2 Strain is defined as change in dimension over original dimension. Now we know dimension has the units of L thus this means it has no dimensional formula and has no units. Strain= Change in dimension/Original dimensionThusDimensional Formula of Strain= (M0L1T0)/(M0L1T0) Dimensional Formula of Strain= M0L0T0 Now we know dimension has the units of L thus same units cancel each other leaving numeric value only. So Strain has no SI unit.

Answer»

Stress is defined as force applied on area.

Mathematically,Stress = Force / Area

Dimensional Formula of Force= M1L1T-2[Check how Dimensional Formula of force is derived]Dimensional Formula of Area= M0L2T0[Check how Dimensional Formula of area is derived]

Putting these values in above equation we get,Dimensional Formula of Stress = (M1L1T-2)/(M0L2T0)

Dimensional Formula of Stress = M1L-1T-2SI unit of Stress is Nm-2

Strain is defined as change in dimension over original dimension. Now we know dimension has the units of L thus this means it has no dimensional formula and has no units.

Strain= Change in dimension/Original dimensionThusDimensional Formula of Strain= (M0L1T0)/(M0L1T0)

Dimensional Formula of Strain= M0L0T0

Now we know dimension has the units of L thus same units cancel each other leaving numeric value only. So Strain has no SI unit.

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