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현재 위치

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

작성자 Uploader : milinae 작성일 Upload Date: 2023-07-15변경일 Update Date: 2023-07-16조회수 View : 186

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As shown the figure, when the concentrated load P (kN) 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.

1. Reaction forces

The moment at the support A is 0, so a*P = L*RB

RB = (a/L)*P

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

RA = P-RB = (1-a/L)*P

2. Shear force, ↑↓ : (+), ↓↑ : (-)

For 0 ≤ x ≤ a : Vx = RA

For a ≤ x ≤ L : Vx = -RB

3. Bending Moment

For 0 ≤ x ≤ a : Mx = RA*x

For a ≤ x ≤ L : Mx = RB*(L-x)

Maximum bending moment is occurred at the point applied P.

Mmax = RA*a

□ input data

1. RA and RB

2. Shear force

For 0 ≤ x ≤ a

For a ≤ x ≤ L

3. Bending Moment

For 0 ≤ x ≤ a

For a ≤ x ≤ L

Maximum bending moment

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1st Step for All

현재 위치

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

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