\e de l x dx


Thus we have equations for the stresses in terms of the slope 9 and rate of change of slope d9/dx. We shall now proceed to evaluate the bending moments in the two planes in similar form and hence to the procedure for determination of 9 and d9/dx from a knowledge of the applied loading.

12. Bending moments

Consider the small section of plate shown in Fig. 7.3, which is of unit length. Defining the moments M as moments per unit length and applying the simple bending theory,

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