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(<,) S. Timoshenko, Theory of Plates and Shells, 2nd edn., McGraw-Hill, New York, 1959.

(<,) S. Timoshenko, Theory of Plates and Shells, 2nd edn., McGraw-Hill, New York, 1959.

The maximum bending moments, per unit length, also occur at the centre of the plate and are given by

the factors ß\ and ß2 being given in Table 7.4 for an assumed value of Poisson's ratio v equal to 0.3.

It will be observed that for length ratios d/b in excess of 3 the values of the factors a, ß\, and ß2 remain practically constant as also will the corresponding maximum deflections and bending moments.

7.16. Rectangular plates with clamped edges carrying uniformly distributed loads

Here again the maximum deflection takes place at the centre of the plate, the value being given by an equation of similar form to eqn. (7.51) for the simply-supported edge case but with different values of a, qbA

The bending moment equations are also similar in form, the numerical maximum occurring at the middle of the longer side and given by

Mmax = pqb2

Typical values for a and fi are given in Table 7.4. In this case values are practically constant for d/b > 2.

Table 7.4. Constants for uniformly loaded rectangular plates with clamped edges.'"'.

d/b

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