Deflection of a beam A horizontal beam l feet long is supported at one end and unsupported...

Deflection of a beam A horizontal beam l feet long is supported at one end and unsupported at the other end (see the figure). If the beam is subjected to a uniform load and if y denotes the deflection of the beam at a position x feet from the supported end, then it can be shown that

where c is a positive constant that depends on the weight of the load and the physical properties of the beam.

(a) If the beam is 10 feet long and the deflection at the unsupported end of the beam is 2 feet, find c.

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(b) Show that the deflection is 1 foot somewhere between x = 6.1 and x = 6.2.

EXERCISE