理论力学中剪力_弯矩_载荷集度之间的微分关系.pdfVIP

: J urnal f X inyang N rm alUniversity 23 3 2010 7 Natural Science Ed iti n V l. 23 N . 3 Jul. 20 10 DOI: 10. 3969/ j. issn. 2010. 03. 014 * 韩瑞功 ( , 262700) : 剪力的一阶导数等于梁上的载荷集度(载荷向下时为负值), 弯矩的一阶导数等于剪力. 承载剪力 与弯矩的大小就 构件( 梁) 的载荷集度. 载荷集度剪力和弯矩间的微分关系告诉我们: 剪力图中某点处的斜 率等于作用在梁上对应点处的载荷集度, 弯矩图中某点处的斜率等于梁在对应截面上的剪力; 而弯矩图中某 一 段曲线的凸凹性由该段上分布载荷的方向所决定. : 剪力; 弯矩; 载荷 : O4 1 : A : 2010) TheDifferentialRelationship among Shearing Force, BendingMoment andLoad Collection in the TheoreticalMechanics * HA Ruigong (W eifang Un iversity f Science T echn l gy, Sh uguang 262700, Ch ina) Abstract:The first derivative f shearing f rce is equal t the l ad c llecti n f the beam ( l ad ing d wnw ard stands f r negative value), The first derivative f bending m ment is equal t the shearing f rce. The l ad bearing shearing f rce and the bend ing m m ent m ake up the l ad c llecti n f the beam. The d ifferential relati ns f the l ad c llecti n, the shearing f rce and the bending m m ent tell us, the sl pe f ne p int in the shear diagram is equal t the l ad c l lecti n w hich functi ns n the c rresp ndent p int f the beam. The sl pe f ne p int in the bending m m ent d iagram is equal t the shearing f rce in the c rresp nding secti n f the beam. But the c nvex ityc ncavity f a certain curve in the m m ent d iagram is determ ined by the d istributed l ad directi n f th is curve. Key words: shearing f rce; bend ing m ment; l ad 0 1 , ,