A) The spring AB has a stiffness of k=800 N/m and an unstretched length of 200 m

Question

A) The spring AB has a stiffness of k=800 N/m and an unstretched length of 200 mm. Determine the force in cables BC and BD when the spring is held in the final stretched position shown.

B) Instead of the linear spring with a constant k = 800 N/m, a non-linear spring is used in the setup. Tests were run to determine the following nonlinear relationship between the spring force and the stretch of the spring: Using the nonlinear spring data provided (with some approximation due to the small graph), determine the force in cables BC and BD when the spring is held in its final stretched position if the unstretched length was 200 mm.

Explanation / Answer

a)let tension T1 in BC
T2 in BD
T1x1/2=T2x3/5

800x0.3=T1x1/2+T2x4/5

solving above two equations we find

T2=171.43N

T1=145.46N

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