Civil Engineering - Strength of Materials - Discussion
Discussion Forum : Strength of Materials - Section 1 (Q.No. 8)
8.
The deflection due to couple M at the free end of a cantilever length L is
Discussion:
11 comments Page 1 of 2.
Vetan said:
6 years ago
Slope is ML/EI.
Deflection is ML2/2EI.
Deflection is ML2/2EI.
(3)
MOUNIKA REDDY said:
1 decade ago
EI(d^2y/dx^2) = M.
(d^2y/dx^2) = M/EI.
dy/dx = (M/EI)*X+C1.
y = (M/2EI)X^2+C1X+C2.
AT X=0, Y=0 SO C2=0.
AT X=0, DY/DX=0 MEANS SLOPE ZERO, SO C1=0.
Y = (M/2EI)X^2 AT X = L.
Y = (M/2EI)L^2.
(d^2y/dx^2) = M/EI.
dy/dx = (M/EI)*X+C1.
y = (M/2EI)X^2+C1X+C2.
AT X=0, Y=0 SO C2=0.
AT X=0, DY/DX=0 MEANS SLOPE ZERO, SO C1=0.
Y = (M/2EI)X^2 AT X = L.
Y = (M/2EI)L^2.
(1)
L S said:
1 decade ago
IT is ML^3/3EI = Deflection.
ML^2/2EI is Slope.
ML^2/2EI is Slope.
K.v.u karthik said:
1 decade ago
We have already learnt this in strength of materials subject in second year that too its a basic one simple for cantilever beam. Slope is ML^2/2EI.
Thank you.
Thank you.
Karan said:
10 years ago
Question is not talking about load, it is asking about moment. That's why option C is correct.
Ved said:
10 years ago
By conjugate beam method finding BM for conjugate Beam is equivalent to deflection of desired beam so C is answer.
Lucky said:
8 years ago
The moment equation is m.
Integrate it w.r.t length, we will get slope eq ML.
Again integrate it will get we will get deflection equation ML^2.
So ml^2/EI.
Integrate it w.r.t length, we will get slope eq ML.
Again integrate it will get we will get deflection equation ML^2.
So ml^2/EI.
Gaurav said:
7 years ago
Option A is the correct answer.
Uma Shankar said:
6 years ago
Option C is the right answer.
Mrutyunjaya said:
3 years ago
For the cantilever beam.
Slope : Ml^2/2EI
Deflection : Ml^3/3EI
The option C is not correct answer.
Slope : Ml^2/2EI
Deflection : Ml^3/3EI
The option C is not correct answer.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers