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Home » Strength of Materials » Beam Deflections » Area-Moment Method | Beam Deflections » Deflection of Cantilever Beams | Area-Moment Method

Solution to Problem 641 | Deflection of Cantilever Beams

Problem 641
For the cantilever beam shown in Fig. P-641, what will cause zero deflection at A?
 

Unknown point force P and counterclockwise moment in cantilever beam

 

Solution 641

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641-moment-diagram-by-parts.jpg

 

$\dfrac{1}{EI}(Area_{AC}) \, \bar{X}_A = 0$

$\dfrac{1}{EI} [ \, \frac{1}{2}(4)(4P)(\frac{8}{3}) - 2(400)(3)\, ] = 0$

$P = 112.5 \, \text{ N}$           answer

 
Tags: 
concentrated load
moment load
cantilever beam
Beam Deflection
end deflection
point load
‹ Solution to Problem 640 | Deflection of Cantilever Beams up Solution to Problem 642 | Deflection of Cantilever Beams ›
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Strength of Materials

  • Simple Stresses
  • Strain
  • Torsion
  • Shear and Moment in Beams
  • Stresses in Beams
  • Beam Deflections
    • Double Integration Method | Beam Deflections
    • Moment Diagram by Parts
    • Area-Moment Method | Beam Deflections
      • Deflection of Cantilever Beams | Area-Moment Method
        • Solution to Problem 636 | Deflection of Cantilever Beams
        • Solution to Problem 637 | Deflection of Cantilever Beams
        • Solution to Problem 638 | Deflection of Cantilever Beams
        • Solution to Problem 639 | Deflection of Cantilever Beams
        • Solution to Problem 640 | Deflection of Cantilever Beams
        • Solution to Problem 641 | Deflection of Cantilever Beams
        • Solution to Problem 642 | Deflection of Cantilever Beams
        • Solution to Problem 643 | Deflection of Cantilever Beams
        • Solution to Problem 644 | Deflection of Cantilever Beams
        • Solution to Problem 645 | Deflection of Cantilever Beams
        • Solution to Problem 646 | Deflection of Cantilever Beams
        • Solution to Problem 647 | Deflection of Cantilever Beams
        • Solution to Problem 648 | Deflection of Cantilever Beams
      • Deflections in Simply Supported Beams | Area-Moment Method
    • Midspan Deflection | Deflections in Simply Supported Beams
    • Method of Superposition | Beam Deflection
    • Conjugate Beam Method | Beam Deflection
    • Strain Energy Method (Castigliano’s Theorem) | Beam Deflection
  • Restrained Beams
  • Continuous Beams
  • Combined Stresses
  • Reinforced Beams
  • Properties of Wide Flange Sections

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