deflecion barra

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defleccion en barra mathcad

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Deflection in a Beam

b 10 cm

d 15 cm

I =―112

b d3 ⎛⎝2.813 10 5⎞⎠ m4

E 200 GPa

W 100 NL 15 m

a 11 m

Force

RA =――――W ((L a))

L26.667 N RB =――

W aL

73.333 N

Shear

V ((x)) RA (( >x a)) W

Moment

M ((x)) +RA x (( >x a)) W ((a x))

Deflection

y ((x)) ――――W ((L a)) x

6 E I L⎛⎝L2 ((L a))

2x2 ⎞⎠ (( >x a)) ⎛

⎜⎝―――

W6 E I

((x a))3 ⎞

⎟⎠

x , ‥0 m .1 m L

-60-50-40-30-20-10

01020

-80-70

30

3 4.5 6 7.5 9 10.5 12 13.50 1.5 15

V ((x)) ((N))

x ((m))

60

90

120

150

180

210

240

270

0

30

300

3 4.5 6 7.5 9 10.5 12 13.50 1.5 15

x ((m))

M ((x)) ((J))

-7.4 10⁻⁴

-6.5 10⁻⁴

-5.6 10⁻⁴

-4.7 10⁻⁴

-3.8 10⁻⁴

-2.9 10⁻⁴

-2 10⁻⁴

-1.1 10⁻⁴

-2 10⁻⁵

-9.2 10⁻⁴

-8.3 10⁻⁴

7 10⁻⁵

3 4.5 6 7.5 9 10.5 12 13.50 1.5 15

8.446

x ((m))

y ((x)) ((m))

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