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7/16/2021 PCTE GROUP OF INSTITUTES 1
7/16/2021 PCTE GROUP OF INSTITUTES 2
• SANDEEP KUMAR
• B.TECH – MECHANICAL ENGINEERING
• 4th SEM
• CLASS ROLL NO. - 20ME012
• SUBJECT – SOM-II
• PRESENTATION ON TOPIC- CURVED BEAMS/CRANE HOOK
• SUBMITTED TO – Dr. S.K GANDHI
7/16/2021 PCTE GROUP OF INSTITUTES 3
• Intro
• Beams
• Curved beams
• Types
• Examples
• Applications
• PROBLEM RELATED TO CRANE HOOK
CONTENTS
BEAMS
7/16/2021 PCTE GROUP OF INSTITUTES
A beam is a structural element that primarily resists loads applied
laterally to the beam's axis. Its mode of deflection is primarily by
bending. The loads applied to the beam result in reaction forces at
the beam's support points.
7/16/2021 PCTE GROUP OF INSTITUTES 5
CURVED BEAMS
7/16/2021 6
If a beam is originally curved before applying any bending moment,
then it can be considered curved beam. It's neutral axis no more
coincides with centroidal line. It’s neutral axis is curved without any
applied load or deformation instead of being straight.
CURVED BEAMS
7/16/2021 PCTE GROUP OF INSTITUTES 7
CURVED BEAMS EXAMPLES
Chain link Crane Hook
Ring
Curved Beams
7/16/2021 PCTE GROUP OF INSTITUTES 8
TYPES OF CURVED
BEAMS
On the basis of cross section curved beams can be of many types.
For ex.
Square, Rectangular, Circular, Triangular, I-section, H-section, T-
section, Trapezoidal etc.
7/16/2021 PCTE GROUP OF INSTITUTES 9
TYPES OF CURVED BEAMS
7/16/2021 PCTE GROUP OF INSTITUTES 10
APPLICATION OF
CURVED BEAMS
A particular case in which this occurs is that where the axis of the
beam is curved. Important practical applications include chain links,
crane hooks, pipe bends and curved segments of machine tool
frames.
7/16/2021 PCTE GROUP OF INSTITUTES 11
Circular cross-section
Curved beam
• Circular type of beam/bar used in making
of Hooks and Rings. These Hooks & Rings
are used in various industries &
machinery
7/16/2021 PCTE GROUP OF INSTITUTES 12
• Rectangular, Square,L, I-section & T-section
curved beams are used mainly in Bridge making,
making of Electric towers, Mobile towers,
Building Houses. Also used in many machinery.
Square, Rectangular, I,L,T-
section Curved beam
7/16/2021 PCTE GROUP OF INSTITUTES 13
TRAPEZOIDAL CURVED
BEAMS
• Curved bars of especially
Trapezoidal section are used to
make Hooks of heavy duty to lift up
heavy loads. Crane Hooks are made
up of Trapezoidal section.
7/16/2021 PCTE GROUP OF INSTITUTES 14
MATERIAL OF CURVED
BEAMS/BARS/HOOKS
Curved Beams/Bars/Hooks are used to resist heavy loads in
Structure like bridge, machines, cranes etc. Material used for
making these type of beams/hooks are Carbon steel, Alloy Steel,
HSLA(High Speed Low Alloy), Gray Cast Iron, Chromium Steel.
Assumptions
• Homogeneous and isotropic material
• Linear elastic response
• Uniform cross-sections
• Symmetric with axis of symmetry
perpendicular to applied moment M
• Cross-sections remain plane
• Cross-section distortion in its plane
neglected
M M
Ignore !
15
7/16/2021 PCTE GROUP OF INSTITUTES 16
IMP. FORMULAS RELATED
CURVED BEAMS/CRANE HOOK
7/16/2021 PCTE GROUP OF INSTITUTES 17
IMP. FORMULAS RELATED
CURVED BEAMS/CRANE HOOK
7/16/2021 PCTE GROUP OF INSTITUTES 18
PROBLEM:-
7/16/2021 PCTE GROUP OF INSTITUTES 19
SOLUTION:-
7/16/2021 PCTE GROUP OF INSTITUTES 20
SOLUTION:-
7/16/2021 PCTE GROUP OF INSTITUTES 21
SOLUTION:-
7/16/2021 PCTE GROUP OF INSTITUTES 22
SOM BY R.K BANSAL
tructure)#:~:text=A%20beam%20is%20a%20structural,at%20the%20beam's%20support%20points.
https://www.thestructuralmadness.com/2014/03/the-elastic-bending-effect.html?m=1
https://www.quora.com/What-is-a-curved-beam
https://graphicriver.net/item/vector-steel-crane-hook/28972284
http://cyberlaw.stanford.edu/blog/2012/04/chain-link-confidentiality
https://www.albinaco.com/bending-profiles/beams
References
7/16/2021 PCTE GROUP OF INSTITUTES 23

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CURVED BEAMS/CRANE HOOK CURVED BARS SOM ppt by Sandeep Kumar

  • 1. 7/16/2021 PCTE GROUP OF INSTITUTES 1
  • 2. 7/16/2021 PCTE GROUP OF INSTITUTES 2 • SANDEEP KUMAR • B.TECH – MECHANICAL ENGINEERING • 4th SEM • CLASS ROLL NO. - 20ME012 • SUBJECT – SOM-II • PRESENTATION ON TOPIC- CURVED BEAMS/CRANE HOOK • SUBMITTED TO – Dr. S.K GANDHI
  • 3. 7/16/2021 PCTE GROUP OF INSTITUTES 3 • Intro • Beams • Curved beams • Types • Examples • Applications • PROBLEM RELATED TO CRANE HOOK CONTENTS
  • 4. BEAMS 7/16/2021 PCTE GROUP OF INSTITUTES A beam is a structural element that primarily resists loads applied laterally to the beam's axis. Its mode of deflection is primarily by bending. The loads applied to the beam result in reaction forces at the beam's support points.
  • 5. 7/16/2021 PCTE GROUP OF INSTITUTES 5 CURVED BEAMS
  • 6. 7/16/2021 6 If a beam is originally curved before applying any bending moment, then it can be considered curved beam. It's neutral axis no more coincides with centroidal line. It’s neutral axis is curved without any applied load or deformation instead of being straight. CURVED BEAMS
  • 7. 7/16/2021 PCTE GROUP OF INSTITUTES 7 CURVED BEAMS EXAMPLES Chain link Crane Hook Ring Curved Beams
  • 8. 7/16/2021 PCTE GROUP OF INSTITUTES 8 TYPES OF CURVED BEAMS On the basis of cross section curved beams can be of many types. For ex. Square, Rectangular, Circular, Triangular, I-section, H-section, T- section, Trapezoidal etc.
  • 9. 7/16/2021 PCTE GROUP OF INSTITUTES 9 TYPES OF CURVED BEAMS
  • 10. 7/16/2021 PCTE GROUP OF INSTITUTES 10 APPLICATION OF CURVED BEAMS A particular case in which this occurs is that where the axis of the beam is curved. Important practical applications include chain links, crane hooks, pipe bends and curved segments of machine tool frames.
  • 11. 7/16/2021 PCTE GROUP OF INSTITUTES 11 Circular cross-section Curved beam • Circular type of beam/bar used in making of Hooks and Rings. These Hooks & Rings are used in various industries & machinery
  • 12. 7/16/2021 PCTE GROUP OF INSTITUTES 12 • Rectangular, Square,L, I-section & T-section curved beams are used mainly in Bridge making, making of Electric towers, Mobile towers, Building Houses. Also used in many machinery. Square, Rectangular, I,L,T- section Curved beam
  • 13. 7/16/2021 PCTE GROUP OF INSTITUTES 13 TRAPEZOIDAL CURVED BEAMS • Curved bars of especially Trapezoidal section are used to make Hooks of heavy duty to lift up heavy loads. Crane Hooks are made up of Trapezoidal section.
  • 14. 7/16/2021 PCTE GROUP OF INSTITUTES 14 MATERIAL OF CURVED BEAMS/BARS/HOOKS Curved Beams/Bars/Hooks are used to resist heavy loads in Structure like bridge, machines, cranes etc. Material used for making these type of beams/hooks are Carbon steel, Alloy Steel, HSLA(High Speed Low Alloy), Gray Cast Iron, Chromium Steel.
  • 15. Assumptions • Homogeneous and isotropic material • Linear elastic response • Uniform cross-sections • Symmetric with axis of symmetry perpendicular to applied moment M • Cross-sections remain plane • Cross-section distortion in its plane neglected M M Ignore ! 15
  • 16. 7/16/2021 PCTE GROUP OF INSTITUTES 16 IMP. FORMULAS RELATED CURVED BEAMS/CRANE HOOK
  • 17. 7/16/2021 PCTE GROUP OF INSTITUTES 17 IMP. FORMULAS RELATED CURVED BEAMS/CRANE HOOK
  • 18. 7/16/2021 PCTE GROUP OF INSTITUTES 18 PROBLEM:-
  • 19. 7/16/2021 PCTE GROUP OF INSTITUTES 19 SOLUTION:-
  • 20. 7/16/2021 PCTE GROUP OF INSTITUTES 20 SOLUTION:-
  • 21. 7/16/2021 PCTE GROUP OF INSTITUTES 21 SOLUTION:-
  • 22. 7/16/2021 PCTE GROUP OF INSTITUTES 22 SOM BY R.K BANSAL tructure)#:~:text=A%20beam%20is%20a%20structural,at%20the%20beam's%20support%20points. https://www.thestructuralmadness.com/2014/03/the-elastic-bending-effect.html?m=1 https://www.quora.com/What-is-a-curved-beam https://graphicriver.net/item/vector-steel-crane-hook/28972284 http://cyberlaw.stanford.edu/blog/2012/04/chain-link-confidentiality https://www.albinaco.com/bending-profiles/beams References
  • 23. 7/16/2021 PCTE GROUP OF INSTITUTES 23