Deflection of Beams (Geometric Methods) Area Moment and Conjugate Beam Situation #1 El is Constant (Assume El = 1 kN-m²) 93 kN -3m-7 192kN 4 m B 14 7. Determine the slope at A 8. Determine the slope at B 9. Determine the location of the maximum deflection from A

Q: 8.52 kN A C B 3.5 m -3.5 m

A: Consider the following bending moment diagram/ EI : Bending moment at B = 0 Bending moment at C = 0…

Q: Use the conjugate-beam method tó determine the deflection and slope at point C. E=200 GPa, I=…

A: Draw the free body diagram. Taking moment at A, ∑MA=0By3-126=0By=24 kN

Q: Find the slope and deflection at B and E of the beam and loadings shown using area-moment method…

A: Given: Required: Slope and deflection at B and E

Q: Apply Virtual work method for the calculation of deflection at Point C. A is fixed support. ElI is…

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Q: 1.) What is the vertical deflection 2m from the roller? p=6,215kN Note: If the deflection is…

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Q: Q.3 Determine the slope and deflection at D for the beam shown below by the conjugate beam method.…

A: Calculating the reactions: ∑MA=0RB(6)-4(9)-8(3)=0RB=10 KN∑Fy=0RB+RA=6-4=0RA=2 KN

Q: 2 k/ft -30 ft- EI= = constant P 20.000 ksi B

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Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.