Geodesy
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In our eReader you can find the full English version of the book. Read Geodesy Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Geodesy
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To quickly assess the difficulty of the text, read a short excerpt:
5 LetP, P-bethe Fig ^ 2 points of support of the rod at the distances b, V from C, the middle point of AB. Let the equation of the rod, or of its axis rather, be expressed in rectangular coordinates #, y, the axis of x passing through the points of support, and x corresponding to the point C. Now the external forces tending to bend qB round q are its own weight and the reaction of the support at P 7, and the sum of the moments of these forces is bw, . W . .
150 MEASUKEMENT OF BASE-LINES.
Hence,... the condition of equilibrium is a& 1 2&y a b'-b It is easy to see from this that there can be no points of inflection unless b + b' >\a. That is, unless the supports are further apart than half the length, the whole bar will be convex upwards. This equation however does not refer to the portion PE of the bar ; for that portion we find - -- - ~ ~ 6a p 4 a Now since the flexure of the bar is really very small, we -, dy z, ... 1 d^y 6 a, , may omit -~^. > and putting - = -~ and //, = ^ > the above dx* & p dx* ak 2 equations become .
What to read after Geodesy?
You can find similar books in the "Read Also" column, or choose other free books by Alexander Ross Clarke to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
5 LetP, P-bethe Fig ^ 2 points of support of the rod at the distances b, V from C, the middle point of AB. Let the equation of the rod, or of its axis rather, be expressed in rectangular coordinates #, y, the axis of x passing through the points of support, and x corresponding to the point C. Now the external forces tending to bend qB round q are its own weight and the reaction of the support at P 7, and the sum of the moments of these forces is bw, . W . .
150 MEASUKEMENT OF BASE-LINES.
Hence,... the condition of equilibrium is a& 1 2&y a b'-b It is easy to see from this that there can be no points of inflection unless b + b' >\a. That is, unless the supports are further apart than half the length, the whole bar will be convex upwards. This equation however does not refer to the portion PE of the bar ; for that portion we find - -- - ~ ~ 6a p 4 a Now since the flexure of the bar is really very small, we -, dy z, ... 1 d^y 6 a, , may omit -~^. > and putting - = -~ and //, = ^ > the above dx* & p dx* ak 2 equations become .
What to read after Geodesy?
You can find similar books in the "Read Also" column, or choose other free books by Alexander Ross Clarke to read onlineMoreLess
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