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Beam Analysis for SFD and BMD - Mechanical Engineering Guide

Learn about Shear Force Diagram (SFD) and Bending Moment Diagram (BMD) for beam analysis. Understand calculations, stress values, and examples in this comprehensive guide prepared by Prof. Amit Umbrajkaar.

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Beam Analysis for SFD and BMD - Mechanical Engineering Guide

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  1. Strength of Material Unit II: Beam Analysis for SFD and BMD Prepared by Prof. Amit Umbrajkaar Asst. Professor , Dept. of Mechanical Engineering DYPIEMR, Akurdi

  2. Unit 2: Beam Analysis for SFD and BMD • SFD and BMD used for analysis of Beam. • SFD- Variation of the shear force along the length. • BMD- Variation of the bending moment along the length. • Value of Shear Force use to calculate shear stress • Value of Bending moment use to calculate Bending Stress

  3. Types of Load

  4. Types of Support

  5. Variation of Shear Force and Bending Moment

  6. Example Find SFD and BMD for following loaded Beam

  7. Steps for SFD: Reaction is total load on span RA =3+1*2+2.5 = 7.5 kN Shear Force To find shear force start from left side Shear force at A (Just left) = 0 N Shear force at A (Just right) = 7.5 kN Shear force at B (Just left) = 7.5 kN Shear force at B(Just right) = 7.5-3= 4.5 kN Shear force at C =4.5 kN Shear force at D = 4.5- 1*2= 2.5 kN Shear force at E (Just left) = 2.5 kN Shear force at E (Just right) = 2.5-2.5= 0 kN

  8. Steps for BMD: Bending Moment To find bending moment for cantilever beam, start from free end Bending Moment at free end = 0 Nm Bending Moment at E= 0 kN-m Bending Moment at D= -2.5*0.5=-1.25 kN-m Bending Moment at C= -2.5*2.5-1*2*1=-8.25 kN-m Bending Moment at B= -2 kN-m Bending Moment at A= -2 kN-m

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