Moduli of Elasticity of Concrete as Determined by 

 Formulae Deducted from Watertown Tests. 



For a beam supported at both ends and uni- 



formly loadiMl ............................ Jf = TFZ-i-8 



For a beam fixed at one end and loaded at the 



other with a load W ...................... M = Wl 



For a beam fixed at one end, unsupported at the 



other, and uniformly loaded ................ l/z=JVl-T-8 



For a beam fixed at one end and supported at 



the oiht-r Mini lornii'd at the center ........ M 3Jn-r-16 



For a beam fixed at both ends and loaded uni- 



formly ................................. M = in-i-12 



For a beam fixed at both ends and loaded at 



the center ............................... M Wl+8 



For a beam supported at both ends and loaded 



with M single load, \V . distant M inches from 



one end and n Inches from the other end. . . M TTmn-r-1 



Any two loads, 1^ and W 3 , m Inches apart, c to c 



U', I 'intf >i|iial to or yrcan-r than II 2 , will produce the 



maximum U'lidinu' moment when the distance from W to 



the nearest support is 



/ m W^m 



~T~ "JTFTTTFT 



and the reaction at the opposite support will be 



and the maximum moment M~*R\l 



