Simple Practical Methods of Calculating Strains On Girders Arches And Trusses

Cover Simple Practical Methods of Calculating Strains On Girders Arches And Trusses
Simple Practical Methods of Calculating Strains On Girders Arches And Trusses
E W Edward William Young
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In estimating the transverse strain upon the pier at c, find the surplus horizontal thrust at c arising from the loaded span, consider the whole pier as a lever fastened at its two extremities and acted upon by a transverse ffiy. 57.
THE ARCH.
force at c, the breaking tendency can then easily be find the value of the surplus horizontal force, resolve the thrusts of the two adjacent arches into their horizontal and vertical elements, consider the vertical effect of the thrusts as acting downward
...s through the point c (see fig. 57), the neutral axis of the pier at the springing, add to this the weight of that part of the pier above c, the point of rupture, and call the whole weight W. Again, call the weight of the lower part of the pier acting through its centre of gravity o, P.
Choose a point in the base of the pier as a fulcrum or turning point.
Let x be the leverage of P, y the leverage of TF, and z the distance from base of pier to point of rupture.
Then is the resistance which the dead weight offers to rupture.


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