Lat. Am. j. solids struct. vol.11 número8

f _X 0

i

g X i 1,...,n_g 0

j

h X j n_g,...,n_h

f _X X x x₁, ,...,₂ x_n T

0

j

g _X

g

n 0

j

, _j

F X f X P X k

,k_j P X

g

n

j j j

j

k k max g

2

1

, 0,

P X X

j

k

a

p 0,1

n

0 t

Le vy u t 1 3

/ 100

L L

a

p

a

p

a

p

a

p

a

p

* /

a a a

p p rand p gn

exp 1 /gn gn

a

1 d x

2

D x N x₃

x ₃ 2 _{2 1}2

f x x x

x

3 2 3

1 4

1

1 0

71785

x x g

x

2 2 1 2

2 3 4 2

1 2 1 1

4 1

1 0, 5108

12566

x x x

g

x

x x x

1

3 ₂

2 3 140.45

1 x 0,

g

x x

x

2 1

4 _1.5 1 0,

x x

g x

1

0.05 x 2, 0.25 x₂ 1.3, 2.0 x₃ 15.0

x₁

x₂

x₃

g₁ x

g₂ x

g₃ x

g x 4 x f C P 1

h x l x₂

3

t x b x₄

f x 1.10471x x_{1 2}2 0.04811x x_{3 4} 14 x₂

max x x 1 0 g max x x 2 0 g x

3 1 4 0

x 2

4 0.1047 1 0.04811 3 4 14 2 5.0 0

g x x x x

x

5 0.125 1 0

g x max x x 6 0 g x x

7 C 0

g P P

x R

2 ₂ 2

2 2 x 1 2 2 P x x MR J 2 2 x

M P L

2 2

2 1 3

4 2

x x x

R 2 4 3 6PL x x x 3 2 3 4 4PL Ex x x

x x x

J x x

2 2

2 1 3

1 2 2 2

12 2 C

E x x x E

P

L G

L 2 6

3 4 3

2

4.013 / 36

1

2 4

x

lb

6000

P L 14 in _max 0.25in E 30 106 psi psi

6 12 10

G _max 13600psi _max 30000 psi

1

x₁

x₂

x₃

x₄

g₁ x

g₂ x

g₃ x

g₄ x

g₅ x

g₆ x

g₇ x

x

f

1

s

T x

2

h

T x R x₃

4

L x

1

x x₂ 0.625in

f( )x 0.6224x x x_{1 3 4} 1.7781x x_{2 3}2 3.1661x x_{1 4}2 19.84x x_{1 3}2

x

1( ) 1 0.0193 3 0

g x x

x

2( ) 2 0.00954 3 0

g x x

x 2 3

3 3 4 3

4

( ) 1296000 0 3

g x x x

g₄( )x x₄ 240 0

1

0 x 99 0 x₂ 99 10 x₃ 200 4

10 x 200

x₁

x₂

x₃

x₄

g x

1

g₂ x

g x

3

g₄ x

x

f

5( ) 1.1 1 0,

g x x

x

6( ) 0.6 2 0

x₁ x₂ x₃ x₄ g x 1

g₂ x

g x

3

g₄ x

g x

5

g₆ x

x

f

1

b x m x₂ z x₃

1 4

l x l₂ x₅ d₁ x₆

2 7

d x

x _{1 2}2 2_{3 3}

( ) 0.7850 3.3333 14.9334 43.0934

f x x x x

x x₁ 2₆ x₇2 x₆3 x₇3 x x_{4 6}3 x x_{5 7}2

1.508 7.477 0.7854

x

1 ₂

1 2 3 27

1 0 g

x x x

x

2 2 2

1 2 3 397.5

1 0 g

x x x

x g

x x x

3 4

3 ₄

2 3 6 1.93 1 0 x x 3 5 4 4

2 3 7 1.93

1 0

x g

x x x

g

x

2 ₆

4 2 3

5 ₃

6

745 / 16.9 10

1 0 110

x

x x x

g

x

2 ₆

5 2 3

6 3

7

745 / 157.5 10

1 0 85

x

x 2 3

7 ₄₀ 1 0

x x g x 2 8 1 5 1 0 x g x x 1 9 2 1 0 12 x g x x g x 6 10 4 1.5 1.9 1 0 x 7 11 5 1.1 1.9 1 0. x g x x 1

2.6 x 3.6 0.7 x₂ 0.8 17 x₃ 28 4

x₁

x₂

x₃

x₄

x₅

x₆

x₇

g₁ x

g₂ x

g x

3

g₄ x

g₅ x

g₆ x

g₇ x

g₈ x

g x

9 g₁₀ x

g₁₁ x

x