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Steps for Shear and Bending Moment Diagrams in Statics

This resource outlines the essential steps for creating shear force (V) and bending moment (BM) diagrams in statics. The process includes drawing a free body diagram (FBD), obtaining reactions at supports, and analyzing internal forces and moments at a cut section. Key calculations ensure equilibrium by checking vertical and horizontal force sums. Additionally, it identifies the location of maximum moments where shear force is zero. Clear guidance is provided along with practical examples from engineering activities to enhance understanding of these critical concepts in statics.

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Steps for Shear and Bending Moment Diagrams in Statics

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  1. Class #26 Beams Shear and Bending Moment Diagrams Statics Spring 2006 Dr. Pickett

  2. Steps for V and BM diagrams 1.Draw FBD 2.Obtain reactions: SM (@left support) to obtain vertical reaction at right; SM (@Right support) to obtain vertical reaction at left; Check SFy = 0 Check ∑Fx = 0 3. Cut a section ; Obtain internal P,V,M at cut section ; SM, SFy, SFx 4. Record, draw internal P, V, M on both sides of cut sections ; - magnitude - units - direction on both sides of cut

  3. Using Engineering Activities To Teach Math & Science

  4. 7.62

  5. 7.62 contd Max Moment occurs at the location where shear is zero 3 ft

  6. 7.62 contd 3 ft

  7. Steps for V and BM diagrams 1.Draw FBD 2.Obtain reactions: SM (@left support) to obtain vertical reaction at right; SM (@Right support) to obtain vertical reaction at left; Check SFy = 0 Check ∑Fx = 0 3. Cut a section ; Obtain internal P,V,M at cut section ; SM, SFy, SFx 4. Record, draw internal P, V, M on both sides of cut sections ; - magnitude - units - direction on both sides of cut

  8. 7.70 • Moments at A and C have been experimentally measured as: • Find P and Q

  9. 7.70 Contd

  10. Vc = V0 + ΔV A-C = 1000 N + (-200 N) = 800 N VD = VC + ΔV C-D = 800 N + (2000 N) = 600 N MC = M0 + ΔM A-C = -395 Nm + (180 Nm) = -215 Nm MD = MC + ΔM C-D = -215 Nm + (+140 Nm) = -75 Nm MB = MD +ΔM D-B = -75 Nm + (+75 Nm) = 0

  11. Using Engineering Activities To Teach Math & Science

  12. Steps for V and BM diagrams 1.Draw FBD 2.Obtain reactions: SM (@left support) to obtain vertical reaction at right; SM (@Right support) to obtain vertical reaction at left; Check SFy = 0 Check ∑Fx = 0 3. Cut a section ; Obtain internal P,V,M at cut section ; SM, SFy, SFx 4. Record, draw internal P, V, M on both sides of cut sections ; - magnitude - units - direction on both sides of cut

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