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(1) 注:如果叉臂的长度为L, 截面尺度为d×d, 则悬臂式杆件在叉臂末端引起的角度变形将正比于L3/d2。如果杆件长度增加一倍, 则截面尺度d应该增大到23/2倍, 对于赤道式装置来说, 两侧叉臂的两个方向的线尺度都应相应增大, 所以叉臂的总质量应该是原质量的2×23/2×23/2=24倍。以上的推导同样可以推广到中空的矩形截面以及更一般的中空截面。对于地平式承受弯矩的部件, 往往只需要在一个方向增加刚度, 因此支承构件的质量和尺度的变化是支承件长度变化的2.5次方。这是因为2×23/2=25/2。