Question

The length of the assembly decreases by 0.006 in. when an axial a- force is applied by means of rigid end plates. Determine

(a) the magnitude of applied force,
(b) the corresponding stress in the steel core.

Answer 1

(a) The magnitude of the applied force is (0.0001524k) Newton

(b) Corresponding stress in the steel core = (0.0001524k/area) Newton per meter square

Step-by-step explanation:

(a) From Hookes law of elasticity,

Force applied = force constant (k) × compression

compression = 0.006 in = 0.006 × 0.0254 = 0.0001524 meter

Force applied = k × 0.0001524 = (0.0001524k) Newton

(b) Stress = Force applied (Newton)/area of steel core (meter square) = (0.0001524k/area) Newton per meter square