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230 Distance from truss member to truss joint

Problem 230
For the truss shown in Fig. P-230, compute the perpendicular distance from E and from G to the line BD. Hint: Imagine a force F directed along BD and compute its moment in terms of its components about E and about G. Then equate these results to the definition of moment M = Fd to compute the required perpendicular distances.
 

Symmetrical Truss

 

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50 - 52 Nearest distance from a given point to a given curve

Problem 50
Find the shortest distance from the point (4, 2) to the ellipse x2 + 3y2 = 12.
 

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48 - 49 Shortest distance from a point to a curve by maxima and minima

Problem 48
Find the shortest distance from the point (5, 0) to the curve 2y2 = x3.
 

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