If the stiffness of the cantilever beam increases in a given input (force), how do you expect the change of the strain gauge output? Describe the reason with mathematical relationship.
1) Stiffness = force / displacement
This relation shows that stiffness is directly proportional to force.
2) stress = force/ area
This relation shows that stress is directly proportional to force.
3). Hooks law -
Stress = K x Strain ( K is young’s modulus of elasticity)
It shows when in elastic limits stress is directly proportional to strain.
So to conclude,
As per your question stiffness is increasing, so the force will increase , force is increasing then stress is increasing and hence the strain will increase.
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