Freshwater is being retained by a vertical gate (CB) fixed at the top (C). The g

Question

Freshwater is being retained by a vertical gate (CB) fixed at the top (C). The gate has a 10 cm with into the paper. There is a frictionless contact at point A. A steel torsional spring, with a spring constant of 75 N-m/rad is attached to B and can 'hold' the section AB vertical depending on the "water" force applied perpendicular to the plate AB. Ignore the weight of the gate. FIND: the initial prewinding (Theta sub-zero) of the spring such that the gate will begin to open when d = 50 cm. NOTE: Consider the torsional spring as an applied moment at B.

Explanation / Answer

sum of moments about point B = 0

point of application of pressure due to water = 0.3-d/3

so gd*d*0.1(0.3-d/3)=75

d=0.5

=0.4355 rad

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