The document discusses the concepts of shear and bending moment in beams. It describes how to determine the reaction forces at supports using free body diagrams and equilibrium equations. It then explains how to calculate the internal shear and bending moment at different points along a beam by cutting sections and applying equilibrium. Finally, it provides a step-by-step process for constructing shear and bending moment diagrams, including determining slopes and the locations of maximum values.

9. 4’ 4’ 4’ 8’ 8’ 2k/ft 3k 4k A B V(k)

10. 4’ 4’ 4’ 8’ 8’ 2k/ft 3k 4k A B M (k-ft)

17. 4’ 4’ 4’ 8’ 8’ 2k/ft 3k 4k A B

22. Positive, constant slope Negative, constant slope (+) 0 (-) M

24. Positive, decreasing slope Negative, decreasing slope (+) 0 (-) M

25. 4’ 4’ 4’ 8’ 8’ 2k/ft 3k 4k A B