DigitalTQSoit un portique isostatique soumis à des charges verticales et horizontales. Le portique est constitué de deux poteaux de hauteur 3 m et d'une poutre de longueur 4 m. Les charges appliquées sont :
∑Fy = 0 → V_A + V_B – (q*6) – 15 = 0 → V_A + V_B – 48 – 15 = 0 → V_A + V_B = 63 kN …(1)
Before calculating, ensure the structure is isostatic. For a 2D frame, use the formula: 3 n equals cap R plus b is the number of members, is the number of support reactions, and
The analysis of an isostatic frame (portique isostatique) is a fundamental procedure in structural mechanics to determine support reactions and internal forces using only the equations of static equilibrium. 1. Verification of Static Determinacy Before calculation, you must confirm the structure is (degree of hyperstaticity For a 2D frame, the formula is: is the number of support reactions and is the number of internal hinges. Hyperstatic (requires advanced methods like the Force Method). 2. Determination of Support Reactions Fundamental Principle of Statics (PFS) to the entire structure. Horizontal Equilibrium to find horizontal reactions ( cap H sub cap A Vertical Equilibrium to find vertical reactions ( Moment Equilibrium