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  3. 구조공학 Structural

Simple beam, distributed load, reaction force, shear force, bending moment

작성자 Uploader : milinae 작성일 Upload Date: 2023-07-15변경일 Update Date: 2023-07-16조회수 View : 341

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As shown the figure, when the distributed load w (kN/m) between L1 and L2 is applied on a simple beam with a length of L (m), reaction force RA and RB (kN) at the supports A and B, shear force and bending moment can be calculated as follows. No Image
□ input data

※ x : distance from A (L1 ≤ x ≤ L2)


1. concentrated force P equivalent to w and location of point of application LP.




2. Reaction forces RA and RB

The moment at the support B is 0, so P*(L-LP) = L*RA


The sum of forces for vertical direction is 0, therefore,


3. Shear force : ↑↓ (+), ↓↑ (-)

For AC section : VAC = RA
For EB section : VEB = -RB
For CE section, at point x location (L1 ≤ x ≤ L2)


The location where Vx = 0 from A


4. Bending Moment

- at the point C


- at the point D


- at the point E


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