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Maximum allowable concentrated load; by the allowable tensile stress of circular cross section simple beam

ÀÛ¼ºÀÚ Uploader : milinae ÀÛ¼ºÀÏ Upload Date: 2019-09-20º¯°æÀÏ Update Date: 2019-10-06Á¶È¸¼ö View : 667

As shown in the figure, when the concentrated load acts on the center of a circular steel bar having length L (cm) and diameter D (cm), the maximum allowable concentrated load P (kgf) is can be obtained as follows. The allowable stress of the steel bar is ¥ò (kgf /cm^2).

Maximum moment : M = P*L/4
Second moment of inertia : I = (¥ð/64)*D^4

¥ò= (M/I)*(D/2) = (P*L/4)*(D/2) / ((¥ð/64)*D^4) = 8*P*L/(¥ð*D^3)

P = ¥ð*¥ò*D^3 / (8*L)

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P = ¥ð*¥ò*D^3 / (8*L)
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