2.1 Chapter 2 BENDING OFBEAMSThe following sections discuss singularity functions and sign convention commonly used in bending of beams 2.1 SINGULARITY FUNCTIONS Singularity Functions can be used to describe the load intensity w(x), shear force F xy and bending moment M xz distributions along a beam. These functions are as shown below: x a x a x a x a n n 0 where n 0 (n = 0, 1, 2 ....) Integration of a singularity function takes the form: x a dx x a n n n 1 1 Examples for the use of beams:Supporting floors of buildings, bridgesAutomotive axles, leaf springsAirplane wings, brackets.
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