By C.T.F. Ross

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**Example text**

22. 4, given that E:2 x 1011N/m2. From reference [1], the maximum deflection of an encastr6 beam with a uniformly distributed load is given by: - 3uEI "^-'ln where, : load/unit length I : length E : Young's modulus I : second moment of area w For the present problem, 6, : central deflection in ttre 6.. 7918-3 mm Examples for Practice ch. B. The theory in this chapter does not include the additional effects of shear stresses due to torsion and bending that occur when unsymmetdcal beams are loaded through their centroids, but these theories are dealt with in some detail in Chapters 2 and 5.

592E- Determine the stresses at the comers and the maximum deflection of a cantilever of length 3 m, loaded at its free end with a concentrated load of 10kN, as shown in Fig. 3. zm ____-+| Fig. 3. Cross-s€ction of cantilever. 32MPa; neutral axis is 60' Ifa cantilever oflenglh 3 m, and with a cross-section as shown in Fig. 1, is subjected to a vertically applied downward load at its free end, of magnitude4kN, determine theposition and value ofthe maximum bending stress. 63MPa} A simply-supported beam oflength 4m, and with a cross-section as shown in Fig.

The term shear flow has been introduced in this section, where shear flow q : s11"o, s1vss5 * wall thickness : rt. In certain cases, when the shear stress varies inversely with the wall thickness, so that the shear flow 4 is constant, it may be lound convenient to carry out the calculation using q instead of z. 2 From Fig. 595 MN/m'? ' 66 Shear Stresses in Bending and Shear Deflections [ch. 2 Now from vertical equilibrium considerations, the resisting shearing force in the web = F: 30kN. 23. Shearing forces on chaDnel section.