[

which has the same form as eqn. (9.36), except in this case

Assuming Hookean behaviour, the longitudinal bending strain is obtained using eqn. (9.81), as

which has the same form as eqn. (9.33). Taking the virtual longitudinal strain to be given in a form similar to the real strain, i.e. £ = [B]{i/} (9.83)

Substituting the real stress from eqn. (9.81) and the virtual strain from eqn. (9.83) into the equation of the principle of virtual work, (9.10), gives

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