The slope-deflection method is a structural analysis technique used to determine the internal forces and displacements in a structure. It involves calculating the slope and rotation at each joint of a structure, and then using these values to determine the forces and moments at each member.
The slope-deflection method is different from other methods, such as the moment distribution method, because it takes into account the rotational stiffness of each member. This allows for more accurate results, especially for structures with non-prismatic members or varying cross-sections.
Inclined legs in a frame structure refer to members that are not perpendicular to the ground, but instead have an angle or slope. These members are typically used to support the weight of the structure and transfer loads to the foundation.
To apply the slope-deflection method to frames with inclined legs, the slope and rotation at each joint must be calculated for both the vertical and horizontal directions. These values are then used to determine the forces and moments at each member, taking into account the inclination of the legs.
The slope-deflection method allows for a more accurate analysis of frames with inclined legs compared to other methods. It also takes into account the rotational stiffness of each member, resulting in more precise results. Additionally, this method is relatively simple and can be easily applied to frames with varying cross-sections or non-prismatic members.
