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Cantilever Beams

  • Thread starter johnboy14
  • Start date
  • #1
22
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Homework Statement



A cantilever beam carriers an end load of 20kN and has an EI value of 40 KNm^2. If the beam is 0.25m long, use intergration to determine

the slope at the free end of the beam?



Homework Equations



I know from a handout I have that the fudamental equation to use is

d^2y/dx^2 = M/EI

when I substitute this I get EI X d^2y/dx^2 = WU(l - x)

This is where I am stuck? Any help much appricated
 

Answers and Replies

  • #2
radou
Homework Helper
3,115
6
Hint: the slope means 'first derivative', i.e. the rotation of the cross section of the beam.
 
  • #3
22
0
Not with you? I think you have to intergrate it but Not sure how many times though.
 
  • #4
Pyrrhus
Homework Helper
2,178
1
Do you know what the y means in that differential equation? open up your mechanics of materials book and look it up, then you'll understand what radou said.
 

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