Final answer:
The equations of the shear and bending-moment curves for a beam can be determined using static equilibrium and the free-body diagram. The maximum absolute value of the bending moment in the beam can be found by analyzing the points where the bending moment changes sign.
Step-by-step explanation:
The equations of the shear and bending-moment curves for a beam are determined using the principles of static equilibrium and the free-body diagram of the beam. For the shear curve, the equation can be obtained by evaluating the sum of the vertical forces acting on the beam at each section. For the bending-moment curve, the equation can be obtained by evaluating the sum of the moments about a chosen point on the beam at each section.
To find the maximum absolute value of the bending moment in the beam, we can analyze the points where the bending moment changes sign. The maximum bending moment occurs at these points, and its absolute value can be determined by evaluating the bending moment equation at those points.