An improvement on the derivation of  relationships between loads, shear forces, and bending moments in beams

MENG Yi-Ping; Wang Xiaojun

doi:10.6052/1000-0879-lxysj2010-023

MENG Yi-Ping, Wang Xiaojun. An improvement on the derivation of relationships between loads, shear forces, and bending moments in beams[J]. MECHANICS IN ENGINEERING, 2011, 33(2): 84-85. DOI: 10.6052/1000-0879-lxysj2010-023

Citation:

MENG Yi-Ping, Wang Xiaojun. An improvement on the derivation of relationships between loads, shear forces, and bending moments in beams[J]. MECHANICS IN ENGINEERING, 2011, 33(2): 84-85. DOI: 10.6052/1000-0879-lxysj2010-023

Citation:

MENG Yi-Ping, Wang Xiaojun. An improvement on the derivation of relationships between loads, shear forces, and bending moments in beams[J]. MECHANICS IN ENGINEERING, 2011, 33(2): 84-85. DOI: 10.6052/1000-0879-lxysj2010-023

An improvement on the derivation of relationships between loads, shear forces, and bending moments in beams

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The derivation of the relationships between loads, shear forces, and bending moments in beams in current textbooks was not exact. Based on the definition of differential and the L'Hospital rule (or the mean value theorem of integrals), the complete demonstration of above-mentioned relationships was presented in this paper.

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An improvement on the derivation of relationships between loads, shear forces, and bending moments in beams

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