68
DEJ ĭ U J O ı IJ

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Page 1: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
Page 2: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
Page 3: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
Page 4: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
Page 5: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
Page 6: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
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Page 8: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
Page 9: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
Page 10: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
Page 11: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
Page 12: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
Page 13: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
Page 14: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
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Page 16: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
Page 17: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
Page 18: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
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Page 22: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
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21 ‐ cos ( )

Page 24: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
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Lageplan

Kräfteplan

Maßstab der Kräfte: 1 cm = 10 kN^F1 = 20 kN

F1 = 25 kN

F2 R = 32 kN

F1

F1

F2R

Page 27: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â

Drehsinn: x dreht positiv nach y

y dreht positiv nach z

z dreht positiv nach x

MERKE: Alphabet

Page 28: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
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Lageplan

Kräftplan

R

R

F1

F1

F2

F2

Page 30: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
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F4

F1

F2F3

a1

a2

a4

a5

M = F1 ∙ a + F1 ∙ bM = F1 ∙ (a + b)M = F1 ∙ c

M = F1 ∙(c + a) – F1 ∙ aM = F1 ∙ c + F1 ∙ a – F1 ∙ aM = F1 ∙ c

M = 20 kNm

5 m

FF = 4 kN

=

F F

M = F ∙ a

a a

Page 32: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
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Lageplan

Kräftplan 1

Kräftplan 2

F3 = 4 kN F2 = 2 kN F1 = 3 kNF1

F3

F2

1 cm = 1 kN^

RG

R2

R1 = 4,6 kN

RG ~ 8,5 kN~

2,0 2,5

F1 F2 F3

Page 34: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
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F1 = 15 kNF2 = 10 kN

6 m

2m

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x

yz

x

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s k=2∙h s k

=h

s k=0,7∙h

s k=0,5∙h

h

1 2 3 4= 2 = 1 = 0,7 = 0,5

Beulsteife

Page 39: link.springer.com978-3-8348-9391-8/1.pdf · $qkdqj $qkdqj 3rwhq]hq :xu]ho /rjdulwkphq 'lh3rwhq]vfkuhlezhlvhlvwhlqh9hun u]xqjghuphkuidfkhq0xowlsolndwlrqplwghujohlfkhq=dko   Â
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1,00

0,50

3,50

0,15

0,30 1,400,85

1,33

F1

F2

F3

F4

[m]

F1 = 88,2 kNF2 = 26,25 kNF3 = 21,25 kNF4 = 48 kN

A

B

F

–1022°

?

46

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