By E. W. Parkes
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Extra resources for Braced Frameworks. An Introduction to the Theory of Structures
8m**| FIG. 35 not discuss the derivation of an influence line further; the reader is, however, advised to check the diagram of Fig. 33 for himself. We illustrate the use of an influence line by considering the force in member AB of the truss shown in Fig. 33 when the truss is crossed by the train of loads shown in Fig. 35, which cannot be turned round. Since the influence line is linear between panel points, we need only consider values of P AB when a load crosses a panel point: between these values the variation of P AB with position of the train of loads will be linear.
Some interesting examples of three-dimensional frameworks will be found in Asplund (1966). 5. Conditions for Statical Determinacy In all our work in Chapter 2 so far, we have assumed that the structures with which we were concerned were statically determinate. We must now investigate formally the conditions that this shall be so. 6, no structure is truly statically determinate, since this would imply no deformation under load, but many structures can be regarded as being statically determinate with sufficient accuracy for engineering purposes.
1. Successive resolution at thejoints. In the previous two sections we have considered the equilibrium of an individual bar and the equilibrium of a joint connecting a number of bars. We can now go on to consider the forces in the members of a complete structure. 4 we shall tacitly assume that the structures with which we are concerned are statically determinate. The kind of solutions that we shall discuss, however, are equally useful when considering statically IOkN 10 (a) (b) FIG. 21 indeterminate structures: the only difference is that in the latter case we shall be concerned with algebraic solutions rather than numerical ones.