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Structural Engineering and Mechanics Volume 7, Number 1, January 1999 , pages 95-110 DOI: https://doi.org/10.12989/sem.1999.7.1.095 |
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Effective moment of inertia for rectangular elastoplastic beams |
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Faller RK, Rosson BT
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| Abstract | ||
| An effective moment of inertia is developed for a rectangular, prismatic elastoplastic beam with elastic, linear-hardening material behavior. The particular solution for a beam with elastic, perfectly plastic material behavior is also presented with applications for beam bending in closed-form. Equations are presented for the direct application of the virtual work method for elastoplastic beams with concentrated and distributed loads. Comparisons are made between the virtual work method deflections and the deflections obtained by using an average effective moment of inertia over two lengths of the beam in the elastoplastic region. | ||
| Key Words | ||
| elastoplastic beams, effective moment of inertia, deflections, elastic, linear-hardening, elastic, perfectly plastic, virtual work | ||
| Address | ||
| Faller RK, Univ Nebraska, Dept Civil Engn, W348 Nebraska Hall, Lincoln, NE 68588 USA Univ Nebraska, Dept Civil Engn, Lincoln, NE 68588 USA | ||