1. The problem is to understand and draw the shear force and bending moment diagrams for a beam under given loads. 2. The shear force at a section of a beam is the algebraic sum of all vertical forces acting to the left or right of the section. 3. The bending moment at a section is the algebraic sum of moments about that section of all forces acting to the left or right. 4. Important rules: - Shear force changes value at points of applied loads. - Bending moment changes slope at points of shear force. - At a free end, bending moment is zero. 5. To construct the diagrams: - Calculate reactions at supports using equilibrium equations. - Move along the beam, summing vertical forces to find shear force at key points. - Calculate bending moments by summing moments about points. 6. Plot shear force values along the beam length to get the shear force diagram. 7. Plot bending moment values along the beam length to get the bending moment diagram. This process helps visualize internal forces and moments, crucial for structural analysis and design.