Beam Reaction Calculator

Beam Length: 6 m, Load: 10,000 N, Position: 2 m from A Step 1: Rb = 10000 × 2 / 6 = 3333.33 N Step 2: Ra = 10000 − 3333.33 = 6666.67 N Step 3: Max Moment = 6666.67 × 2 = 13333.33 N·m

Beam reactions are the foundational forces exerted by a structure's supports to counteract the applied external loads, ensuring the entire structure remains in a state of static equilibrium. For any stable engineering structure, the sum of all upward forces must precisely balance the sum of all downward forces, and the sum of all rotational moments about any arbitrary point must be zero. These fundamental principles of statics are indispensable for accurately determining beam reactions. In the context of a simply supported beam, which typically rests freely on two supports, often a pin at one end and a roller at the other, these reactions are exclusively vertical forces. When a concentrated point load is applied, the magnitude of the reaction at each support is directly influenced by the load's position along the beam. Engineers and designers calculate these reactions as the crucial initial step in analyzing a beam's internal forces, such as shear force and bending moment, which are vital for selecting appropriate materials and dimensions to guarantee the beam's structural integrity and prevent failure.