Structural and stress analysis by T.H.G. Megson

By T.H.G. Megson

Structural research is the nook stone of civil engineering and all scholars needs to receive an intensive realizing of the thoughts on hand to examine and expect pressure in any constitution. this article offers the scholar with a complete advent to every kind of structural and rigidity research. ranging from a proof of the fundamental ideas of statics, basic and shear strength and bending moments and torsion. It is going directly to study the several buildings during which attention of those is paramount, from easy pin joints to suspension cables. The homes of fabrics are defined and all elements of beam concept are tested in complete. ultimately the writer discusses the foremost zone of instability in buildings. nearly no previous wisdom of constructions is thought and scholars requiring an available and accomplished perception into tension research will locate no larger e-book on hand. *Ofers a finished evaluation of structural research *Invaluable to undergraduate civil engineers *Numerous labored examples and difficulties

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13(a) the load intensity at B, theoretically, is infinite, as is the gradient of the shear force diagram at B (Fig. 13(d)). In practice the shear force diagram would have a finite gradient at this section as illustrated in Fig. 14. Now integrating Eq. 2) in which C ,is a constant of integration which may be determined in a particular case from the loading boundary conditions. If, for example, w ( z ) is a uniformly distributed load of intensity w , that is it is not a function of z , Eq. 2) becomes s= -wz+c, which is the equation of a straight line of gradient - w as demonstrated for the cantilever beam of Fig.

A better approach is to examine Eq. (iii) as follows. Clearly when z = 0, MA, = 0 as would be expected at the simple support at A. Also at B, where z = 2 m, MAB= -2 kN so that although the support at B is a simple support and allows rotation of the beam, there is a moment at B; this is produced by the loads on the cantilever overhang BC. Rewriting Eq. (iii) in the form MAB = z( 1 - z) (iv 1 we see immediately that M A B = 0 at z = 0 (as demonstrated above) and that MAB= 0 at z = 1 m, the point D in Fig.

16(f). Note that, although the beam is subjected to a sagging bending moment over the length AD, the actual deflection is upwards; clearly this could not have been deduced from the bending moment diagram. 9 Simply supported beam carrying a point moment. From a consideration of the overall equilibrium of the beam (Fig. 17(a)) the support reactions are RA = Mn/L acting vertically upward and R, = Mn/L acting vertically downward. Note that RA and R , are independent of the point of application of Mn.

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