Mechanics of Engineering: Comprising Statics And Dynamics of Solids; the ...
Mechanics of Engineering: Comprising Statics And Dynamics of Solids; the ...
Irving P Irving Porter Church
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Of course, in treating the stresses and deflection of the rigid body concerned, P and P' are left out of account, as being imaginary and serving only a temporary purpose. Application of Foregoing Principles to a Boof Trust- ing. 355. W x and W t are wind pressures, P x and P % are loads, while the remaining external forces, viz., the re* 406 MECHANICS OF ENGINEERING. actions, or supporting forces, V , V a and H n9 may be found by preceding §§. (We here suppose that the right abut- ment furnishe...s all the horizontal resistance ; none at the left). Lay off the forces (known) W 19 W* P„ and P 2 in the usual way, to form a portion of the closed force polygon. To close the polygon it is evident we need only draw a horizontal through 5 and limit it by a vertical through L This determines H u but it remains to determine n' the point of division between V Q and V n . Select a convenient pole if and draw rays from it to 1, 2, etc. Assume a con- venient point a in the line of V in the space diagram, and through it draw a line I to X \ to meet the line of W x in some point b ; then a line II to X 2 to meet the line of W % in some point c ; then through c B to X 3 to meet the line of P x in some point d ; then through d I to X 4 to meet the line of P 2 in some point e, (e is identical with d, since Pi and P s are in the same line) ; then ef 1 to X 5 to meet H n in some point/; then fg | to Ofi to meet V n in some point g.
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