Strength of Materials a Comprehensive Presentation of Scientific Methods of Loc

Cover Strength of Materials a Comprehensive Presentation of Scientific Methods of Loc
Strength of Materials a Comprehensive Presentation of Scientific Methods of Loc
Edward R Edward Rose Maurer
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If the fibre stresses are within the elastic limit, then the two straight lines on the side of a beam referred to in Art. 57 will still be straight after the beam is bent; hence the elongations and short- enings of the fibres vary directly as their distance from the neutral axis. Since the stresses (if within the elastic limit) and deforma- tions in a given material are proportional, the unit-fibre stress varies as the distance from the neutral axis.
Let Fig. 36# represent a portion of a bent b
...eam, 36 b its cross - section, nn the neutral line, and NN the neutral axis. The way in which the unit-fibre stress on the section varies can be rep- resented graphically as follows: Lay off ac, by some scale, to represent the unit-fibre stress in the top fibre, and join c and n, extendiwg the line to the lower side of the beam ; also make be* equal to be" and draw no'. Then the arrows represent the unit-fibre stresses, for their lengths vary as their distances from the neutral axis.
58 STRENGTH OF MATERIALS 61.


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