The Elements of Graphic Statics And of General Graphic Methods

Cover The Elements of Graphic Statics And of General Graphic Methods
The Elements of Graphic Statics And of General Graphic Methods
William Ledyard Cathcart
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But, the expression, ILaz* is the moment of inertia of the section with respect to its neutral axis and may be represented THE FUNDAMENTAL THEORY OF BEAMS by 7. Substituting this and remembering that the resisting moment is equal to the bending moment M\ SI n, c Me - = M, or 5 =, c I from which the maximum tensile or compressive stress may be found when the cross-section of the beam and the positions and magnitudes of its loads are given.
The expression -, known as the modulus of the section or
... the section factor, is thus the quotient of the moment of inertia of the section divided by the distance of its most remote fibre from its neutral axis. The determination of the moments of inertia of various sections has been treated in Art. 47 ; the value of c may be found when the position of the centre of gravity (Arts. 28, 30, 44) of the section has been determined.
63. The Elastic Curve. When a beam is deflected by applied loads, the curve assumed by its neutral axis is known as the elastic curve.


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