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현재 위치

Reaction force when uniform load is applied to continuous beam

작성자 Uploader : orion 작성일 Upload Date: 2019-11-13변경일 Update Date: 2019-12-30조회수 View : 471

Type1 Type2

그림과 When the uniform load w (kN / m) acts on the continuous beam as shown in the figure, the reaction forces RA, RB and RC at the points A, B, and C can be obtained as follows.

Since only vertical forces act, only vertical reactions occur.

Considering that the deflection δ1 at the point B due to the uniform distribution load and the deformation δ2 due to the reaction force RB are the same,

δ1 = 5 * w * (2 * L) ^ 4 / (384 * E * I) = 5 * w * L ^ 4 / (24 * E * I)

δ2 = RB * (2 * L) ^ 3 / (48 * E * I) = RB * L ^ 3 / (6 * E * I)

RB * L ^ 3 / (6 * E * I) = 5 * w * L ^ 4 / (24 * E * I)

RB = 5 * w * L / 4

RA = RC and RA + RB + RC = w * 2 * L,

2RA = w * 2 * L-5 * w * L / 4

RA = 3 * w * L / 8

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현재 위치

Reaction force when uniform load is applied to continuous beam

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