Mechanics of engineering. Comprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc (1888)
Church, Irving P[orter], 1851- [from old catalog] · New York, J. Wiley & sons · leaf 242
t, the relative (linear) lateralcontraction (let this =m) is so connected with Et and Esthat if two of the three are known the third can be de-duced theoretically. This relation is proved as follows,by Prof. Burr. Taking an elemental cube with four of itsfaces at 45° with the axis of the piece,… … Fig. 210. 230 MECHANICS OF ENGINEERING. is supposed very small compared with 90° and is due tothe shear ps per unit of area on the face BG (or BA).From the figure we have tan(45°—_) = _.~_.=1—m—e, approx. [But, Fig. 210, tan(45°—x)=l—2x nearly, where x is asmall angle, for, taking CA=\nAty= AE, tan…
Mechanics, Applied · Engineering · Strength of materials
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