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Class #26

Class #26. Beams Shear and Bending Moment Diagrams Statics Spring 2006 Dr. Pickett. Steps for V and BM diagrams. 1.Draw FBD 2.Obtain reactions: S M (@left support) to obtain vertical reaction at right; S M (@Right support) to obtain vertical reaction at left; Check S Fy = 0

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Class #26

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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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