材料力学整理 1

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The diagram of the axial force is shown in the right figure .

轴力图如右图

Example1-2 Length of the rod shown in the figure is L. Distributed force q = kx is acted on it, direction of the force is shown in the figure. Try to plot the diagram of axial force of the the rod.

[例1-2] 图示杆长为L ,受分布力 q = kx 作用,方向如图,试画出杆的轴力图。

Solution :The free end of the rod is the origin of the coordinate and coordinate x to the right is positive. Take the segment of length x on the left of point x, its internal force is

解:x 坐标向右为正,坐标原点在自由端。取左侧x 段为对象,内力N(x)为:

q L q(x)

K L x O

N x O -– 22kL

N(x) x q(x)

2021d )(kx x kx x N x -=⎰-=2max 21)(kL x N -=

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