Structural mechanics; comprising the strength and resistance of materials and elements of structural design (1905)
Greene, Charles E. (Charles Ezra), 1842-1903, Greene, Albert Emerson. [from old catalog] · New York, J. Wiley & sons; [etc., etc.] · leaf 222
ring and the pressure,p, acting on the outside of the ring sets up a compression of pr.This total tension* may also be expressed by /: tdr. As p and r are variables, there is obtained by differentiating the equation pr= I tdr, or pin —d(pr) =tdr,pdr+rdp+tdr=o. (1) Another equation can be deduced… … Tig. 85 208 STRUCTURAL MECHANICS. will be p+E, § 10, and of one dr thick will be pdr-^-E. Thetotal diminution of thickness between rx and r, from what it was at first, will therefore be \L ***• But the annular fibre or ring whose radius is r and length27tr has been elongated t-^-E per inch of…
