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Simple beam, reaction force and bending moment, one point load

ÀÛ¼ºÀÚ Uploader : a.c.e. ÀÛ¼ºÀÏ Upload Date: 2017-11-19º¯°æÀÏ Update Date: 2017-11-19Á¶È¸¼ö View : 463

Type1 Type2
As shown in the figure, when the load P acts on the simple beam, the reaction force and the bending moment can be calculated as follows. No Image
¢¹ input data
  - L : Length of simple beam (m)
  - P : Point load (N)
  - a : Distance from left (A) support point (m), (a¡ÂL)
  - x : Distance from left (A) support point where the bending moment is calculated (m), (x¡ÂL)


1. Reaction force at left support point (A)
    ¢² Moment at right support point (B) = 0, VA*L = P*(L-a)


  ¢² Vertical force = 0, P-VA-VB = 0


2. Bending moment at x

  (1) 0 < x <= a


  (2) a < x <= L


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