Strength And Elasticity of Structural Members

Cover Strength And Elasticity of Structural Members
Strength And Elasticity of Structural Members
Richard John Woods
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204.
Fig. 205.
The curve of slope (Fig. 204) is got from the bending moment curve.
The maximum slope at the end represented by the ordinate A"D" is the area of the triangle A' CD' multiplied by -^ m 4 • ll_ 2Ef WP i6Er The slope at the centre is zero.
To find the deflection curve (Fig. 205). The deflection at the ends = 0, and the maximum deflection at the centre is represented by the area of the semi-parabola A"C'D'\ Ui 2 WP I _1^ ^3 16 "" ^"^ Ef 1 WP 48 EI' (2) Find the deflection of a unifor
...m beam supported at the ends and loaded symmetrically with two equal loads (Fig. 206).
Fig. 207 is the bending moment curve, and Fig. 208 the curve of slopes. The slope at the centre is zero. The greatest slope is at the ends, and is equal to the area of the bending moment diagram between the end and centre multiplied by -™.
as represented by the ordinate A'E'.
VIIl] DEFLECTION OF BEAMS 191 The maximum deflection is at the centre, and is equal to the area A'OD'E' of the slope diagram multiplied by ^j r2 TTa* Tir jA^^«*n 1 B or, since W w w I' * Fig.


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