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Problem No.:2 Cantilever T-Section Beam With Point Load at Free End

A cantilever beam with a point load applied at the free end is analyzed. Analytical and numerical solutions are provided. The analytical solution calculates a deflection of 0.120663 m at the free end under a 10,000 N point load applied at the end of a 4 m beam made of steel. The numerical solution uses finite elements to model the beam, applying different mesh sizes, and calculates deflections ranging from 0.119788529416 to 0.148503759551 m.

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129 views1 page

Problem No.:2 Cantilever T-Section Beam With Point Load at Free End

A cantilever beam with a point load applied at the free end is analyzed. Analytical and numerical solutions are provided. The analytical solution calculates a deflection of 0.120663 m at the free end under a 10,000 N point load applied at the end of a 4 m beam made of steel. The numerical solution uses finite elements to model the beam, applying different mesh sizes, and calculates deflections ranging from 0.119788529416 to 0.148503759551 m.

Uploaded by

durgaraokamireddy
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as ODT, PDF, TXT or read online on Scribd
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Problem No.

:2 Cantilever T-section beam with point load at free end


Find the deflection of the cantilever beam at free end, 10,000 N is applied at free end. Take E=200
GPa, density=7800 kg/m3, Poisson's ratio is 0.25. length, L=4 m

Solution: 20

Analytical solution:
3
wl
Deflection, δ=
3 EI
W= 10000 N, l= 4 m, E=200 GPa, I= 884e-8 m4 120

Therefore, deflection at free end = 0.120663 m

Numerical Solution: 20
Type of the analysis: StrcStLn (Structural static linear)
120

S.No Element Type Total elements(total nodes) Node no. Deflection at free end(m)
1 Hex(B27/w18) 544(5355) 5353 0.119788529416E+00
2 Hex(B8/w6) 1400(1903) 1901 0.147003653566E+00
3 Wedge(w18) 2800(13125) 12123 0.148503759551E+00

Fig.1 Cross section of the beam

Fig.3 load condition


Fig.2 Fixed boundary condition

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