![]() In the second and third, we will apply the principle to the continuum and to beams. In the first, we will investigate the principle in its simplest form as it applies to a single degree of freedom. In this section, the principle of virtual work will be presented for three applications. However, as will be shown in the following sections, the statement itself can be derived solely from mathematical, rather than physical explanations. The statement of the principle of virtual work usually involves the phrase “virtual displacement field,” which is designed to engage the intuition by attempting to give a physical explanation to a mathematical statement. The principle of virtual work is widely used to solve a variety of continuum and solid mechanics problems.
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