A pin jointed truss problem is a type of structural analysis problem that involves determining the internal forces and reactions within a truss structure that is made up of interconnected bars or members connected at their ends by pins or hinges.
The assumptions made in a pin jointed truss problem include: all joints are perfectly pinned, meaning they can only rotate and not translate; the members are weightless and have no bending stiffness; and the truss is loaded only at the joints.
A pin jointed truss problem is typically solved using the method of joints or the method of sections. The method of joints involves analyzing the equilibrium of forces at each joint to determine the internal forces in each member. The method of sections involves cutting the truss into sections and analyzing the equilibrium of forces in each section to determine the internal forces in the members.
Pin jointed truss problems are commonly used in structural engineering to analyze and design truss structures such as bridges, roofs, and cranes. They are also used in mechanical engineering to analyze and design simple structures such as frames and trusses in machines and mechanisms.
Pin jointed truss problems have limitations in their applicability, as they assume idealized conditions that may not hold true in real-world structures. They also cannot account for the effects of deformations, such as bending, on the members of the truss. Additionally, they do not consider the effects of external factors such as wind and earthquakes, which can significantly affect the behavior of truss structures.
