Explanation of Plane Frame under Load

A plane frame is a structural element that consists of straight components joined by rigid connections to form a polygonal shape. The frame is loaded with external forces, and the resulting internal forces and deformations are analyzed. In this particular case, the frame is loaded as shown in the figure, and the rotations and sway are indicated by the symbols θB, θC, and Δ, respectively.

Types of Loads

The frame is subjected to different types of loads, including point loads, distributed loads, and moments. These loads are applied at specific locations along the frame, and they cause internal forces and moments to develop within the structure.

Internal Forces and Deformations

The internal forces and deformations in the frame can be determined using the principles of statics and mechanics of materials. The external loads and support conditions are used to establish the equations of equilibrium and compatibility, which are then solved for the unknown internal forces and deformations.

Rotations and Sway

The rotations and sway of the frame are important parameters that affect the stability and behavior of the structure. The rotations θB and θC represent the angular displacements of the joints B and C, respectively. The sway Δ represents the lateral displacement of the frame at the top. These parameters are calculated by analyzing the internal forces and deformations in the frame.

Analysis of Plane Frame

The analysis of a plane frame involves several steps, including the determination of support reactions, calculation of internal forces and moments, and evaluation of the deformations and rotations. The analysis can be performed using manual methods or computer software, depending on the complexity of the structure and the accuracy required.

Conclusion

In conclusion, the analysis of a plane frame under load involves the determination of internal forces, moments, and deformations, as well as the evaluation of rotations and sway. The analysis is an important step in the design and construction of structural elements, as it ensures that the structure will be stable and able to withstand the external loads.