A polyethylene tube (length L) has a cap which when installed compresses a spring (with undeformed length L1 > L) by amount δ = (L1 L). Ignore deformations of the cap and base. Use the force at the base of the spring as the redundant. Use numerical properties in the boxes given.
(a) What is the resulting force in the spring, Fk?
(b) What is the resulting force in the tube, Ft?
(c) What is the final length of the tube, Lf?
(d) What temperature change ΔT inside the tube will result in zero force in the spring?

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Cap (assume rigid) Tube Spring (k, Li> L) Modulus of elasticity Polyethylene tube (E, 100 ksi) Coefficients of thermal expansion Properties and dimensions do = 6 in. t,g-in. L!= 12.125 in. > 12in. k=1.5 kip p in