Engineering Fundamentals: An Introduction to Engineering, 4th ed.c

10.50.Consider the series springs shown in accompanying fig-

ure. Realizing that the total deflection of the springs

are the sum of the deflections of the individual springs,

and the force in each spring equals the applied force,

show that for the springs in series, the equivalent spring

constant Keis

Ke

1

1

K 1



1

K 2



1

K 3

298 Chapter 10 Force and Force-Related Parameters

Objective: To design a structural (chain) link from the

materials listed below that will support as much load as

possible. The link must have at least a 2-in. diameter

hole at its center to accommodate two pieces of rope.

The pieces of ropes are used as connecting links to cre-

ate a chain. Each piece of rope is passed through two

adjacent designs (links) and its ends are tied. This pro-

cedure is repeated until you create a chain made of dif-

ferent link designs. The chain will then be pulled apart

in a tug of war until a link fails. The surviving links will

then be reconnected as described above and the tug of

war is repeated until a winner is declared. Thirty min-

utes will be allowed for preparation.

Provided Materials: 4 rubber bands; 20 in. of adhesive

tape; 40 in. of string; 2 sheets of paper (8

1

⁄ 2 " 11"

each); 4 drinking straws.

Impromptu Design V

F

K 1 K 2 K 3

F

Ke =?

Problem 10.49

F

K 1

K 2

K 3

F

Ke =?

Problem 10.50

62080_10_ch10_p251-302.qxd 5/22/10 12:32 AM Page 298

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