自动门
自动门:立柱的稳定性
发布时间:2013/1/9

   自动门讯:

  F-轴向压力,N'

    A-立柱横截面积,
    M——弯矩,N-m;
    Wy-.立柱截面系数,
    满足上述强度条件才能是强度合格立柱。
    (2)稳定性校核
    1)求i和A。立柱下端应固定,因此立柱为一端固定,一端
铰支的压杆,长度系数卢=0.7。
    先求出惯性半径i
    f=    .(m)    (3.59)
式中  Iy——惯性矩,nt,Iy =112  (BH3—6^3)口
    故立柱的柔度    A一吐    (3.60)
式中  户——长度系数,p一1 5
    L-立柱长,m;
    i——惯性半径.m。
    2)用已知的数据计算A和Ap,
界状态下的柔度为

确定立柱的稳定性。

   E-弹性模量,N/mz;
    叽——材料的屈服极限(比例极限),Pa。
    当立柱的A<Ap时,不能用欧拉公式,无稳定问题。
    在已知图3. 24立柱铝合金弹性模量为E-7×loio N/n12,和屈服极限crl= 108MPa条
件下,又可知立柱截面积A、惯性矩Iy、惯性半径i和立柱长L,可求得立柱柔度A-60.
而立柱的临界状态下柔度.Ap=80。
    因为A(60)<Ap(80),因此立柱不是细长杆,无稳定性问题,其内侧边缘的最大应力
如满足公式3.’58的条件,则认为立柱是安全可靠的。
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