Question: Design considerations for the bumper B on the train car of mass M require use of a nonlinear spring having the load-deflection characteristics shown in

Design considerations for the bumper B on the train car of mass M require use of a nonlinear spring having the load-deflection characteristics shown in the graph. Select the proper value of K so that the maximum deflection of the spring is limited to a distance d when the car, traveling at speed v, strikes the rigid stop. Neglect the mass of the car wheels. (10 MARKS)

GIVEN

M = 4.58 Mg

D = 0.55M

V = 4 m/s

F = kx4

b) Two equal-length springs having stiffness ka and kb are nested together in order to form a shock absorber. If a block of mass M is dropped from the at-rest position h above the top of the springs, determine their deformation when the block momentarily stops. (10 MARKS)

GIVEN

Ka = 375 N/m

Kb = 255 N/m

M = 2.8 kg

H = 0.662 m

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