1. Simple Beam

Chapter 1) The concept of simple beam analysis

• Concept and characteristics of simple beam
• Reaction force, axial force, shear force, moment of simple beam
• Deflection angle and curvature of simple beam

Chapter 2) Example

• Description of the example

Chapter 3) Comparison with results

• midas Civil modeling and analysis
• Comparison of displacement
• Comparison of member forces

A simple beam is a member composed of a roller on one side and a hinge on the other side, and is the most basic member in structural mechanics.

in order to prevent a structure from moving in the two-dimensional space of the X-Z plane, it is necessary to restrict movement in three directions :
Movement in the X and Z directions, and rotation around the Y axis.

Since this state is the same as saying that the sum of forces in each direction becomes zero (0), it can be expressed by the following equation 

When the reaction force is obtained in this way, the section force generated at an arbitrary position (cross section) inside the member is calculated.

In a section located at an arbitrary distance x in the axial direction of a member, the section force is expressed in three ways
: axial force (𝑁(𝑥)), shear force (𝑉(𝑥)), and moment (𝑀(𝑥))

When an external force (including a reaction force) acts on a member, deformation occurs, and the deformation is generally expressed as deflection angle (𝜽_𝒚) and deflection (𝝎).

The deflection angle at a point 𝜒 refers to the angle formed by the member axis before deformation and the member axis after deformation at that point, and the member axis after deformation means the tangent (differential) at that point.

In order to indicate that the 𝑦 axis is the axis of rotation of the section according to the right-hand rule, the subscript 𝑦 is used for the deflection angle, moment, and curvature.