SlideShare uma empresa Scribd logo
1 de 21
Shafkat Islam
ID: 10.01.03.061
Year: 4th Semester: 2nd

Department of Civil
Engineering
Ahsanullah University of
Science & Technology
Course No : CE 416
Course Title : Prestress
Concrete Design
Sessional
Course Teacher:
Munshi Galib Muktadir
Moment Of
Inertia
α
What is Torque or Moment?
Torque, moment or moment of force, is the tendency of a
force to rotate an object about an axis.

What is Angular acceleration?
Angular acceleration is the rate of change of angular
velocity and is usually denoted by the Greek letter alpha
(α).
Moment of Inertia
(Geometrical property of an area)
The moment of inertia of plane area or second moment
of inertia is a geometrical property of an area which
reflects how its points are distributed with regard to an
arbitrary axis.
Area Moment of Inertia
The Area Moment Of Inertia of a beams cross-sectional
area measures the beams ability to resist bending. The
larger the Moment of Inertia the less the beam will
bend.
The moment of inertia is a geometrical property of a
beam and depends on a reference axis. The smallest
Moment of Inertia about any axis passes through the
centroid.
Polar Moment Of Inertia
Moment of Inertia about the z axis
The Polar Area Moment Of Inertia of a beams
cross-sectional area measures the beams ability
to resist torsion. The larger the Polar Moment of
Inertia the less the beam will twist.
Thank You
for
Yours
Patience

Mais conteúdo relacionado

Mais procurados

Diploma i em u iv centre of gravity & moment of inertia
Diploma i em u   iv centre of gravity & moment of inertiaDiploma i em u   iv centre of gravity & moment of inertia
Diploma i em u iv centre of gravity & moment of inertiaRai University
 
Stress & Strain PPT.ppt
Stress & Strain PPT.pptStress & Strain PPT.ppt
Stress & Strain PPT.pptBodhiSeal1
 
Mechanics ppt 1
Mechanics ppt 1Mechanics ppt 1
Mechanics ppt 1IB School
 
Introduction to mechanics
Introduction to mechanicsIntroduction to mechanics
Introduction to mechanicsKhanSaif2
 
Free body diagrams
Free body diagramsFree body diagrams
Free body diagramsTekZeno
 
Force,moment of a force and couple
Force,moment of a force and coupleForce,moment of a force and couple
Force,moment of a force and coupleRajeshPV12
 
Projectile motion of a particle
Projectile motion of a particleProjectile motion of a particle
Projectile motion of a particleKhanSaif2
 
Lecture 2 principal stress and strain
Lecture 2 principal stress and strainLecture 2 principal stress and strain
Lecture 2 principal stress and strainDeepak Agarwal
 
Moment of inertia concepts in Rotational Mechanics
Moment of inertia concepts in Rotational MechanicsMoment of inertia concepts in Rotational Mechanics
Moment of inertia concepts in Rotational Mechanicsphysicscatalyst
 
work energy theorem and kinetic energy
work energy theorem and kinetic energywork energy theorem and kinetic energy
work energy theorem and kinetic energyKharen Adelan
 
Lect9 Moment of Inertia
Lect9 Moment of InertiaLect9 Moment of Inertia
Lect9 Moment of InertiaJahara Cañas
 

Mais procurados (20)

Moments
MomentsMoments
Moments
 
Rotational motion
Rotational motionRotational motion
Rotational motion
 
Moment of inertia
Moment of inertia Moment of inertia
Moment of inertia
 
Circular motion
Circular motionCircular motion
Circular motion
 
Center of mass
Center of massCenter of mass
Center of mass
 
Physics mechanics
Physics mechanicsPhysics mechanics
Physics mechanics
 
Diploma i em u iv centre of gravity & moment of inertia
Diploma i em u   iv centre of gravity & moment of inertiaDiploma i em u   iv centre of gravity & moment of inertia
Diploma i em u iv centre of gravity & moment of inertia
 
Unit 5 rigid body dynamics
Unit 5 rigid body dynamicsUnit 5 rigid body dynamics
Unit 5 rigid body dynamics
 
Stress & Strain PPT.ppt
Stress & Strain PPT.pptStress & Strain PPT.ppt
Stress & Strain PPT.ppt
 
Mechanics ppt 1
Mechanics ppt 1Mechanics ppt 1
Mechanics ppt 1
 
Equilibrium
EquilibriumEquilibrium
Equilibrium
 
Torque
TorqueTorque
Torque
 
Introduction to mechanics
Introduction to mechanicsIntroduction to mechanics
Introduction to mechanics
 
Free body diagrams
Free body diagramsFree body diagrams
Free body diagrams
 
Force,moment of a force and couple
Force,moment of a force and coupleForce,moment of a force and couple
Force,moment of a force and couple
 
Projectile motion of a particle
Projectile motion of a particleProjectile motion of a particle
Projectile motion of a particle
 
Lecture 2 principal stress and strain
Lecture 2 principal stress and strainLecture 2 principal stress and strain
Lecture 2 principal stress and strain
 
Moment of inertia concepts in Rotational Mechanics
Moment of inertia concepts in Rotational MechanicsMoment of inertia concepts in Rotational Mechanics
Moment of inertia concepts in Rotational Mechanics
 
work energy theorem and kinetic energy
work energy theorem and kinetic energywork energy theorem and kinetic energy
work energy theorem and kinetic energy
 
Lect9 Moment of Inertia
Lect9 Moment of InertiaLect9 Moment of Inertia
Lect9 Moment of Inertia
 

Destaque

Destaque (20)

MOMENT OF INERIA
MOMENT OF INERIAMOMENT OF INERIA
MOMENT OF INERIA
 
Properties of surfaces-Centre of gravity and Moment of Inertia
Properties of surfaces-Centre of gravity and Moment of InertiaProperties of surfaces-Centre of gravity and Moment of Inertia
Properties of surfaces-Centre of gravity and Moment of Inertia
 
Centroids in a planar lamina FINAL
Centroids in a planar lamina FINALCentroids in a planar lamina FINAL
Centroids in a planar lamina FINAL
 
Mi2
Mi2Mi2
Mi2
 
centroid
centroidcentroid
centroid
 
Strength of materials by s k mondal
Strength of materials by s k mondalStrength of materials by s k mondal
Strength of materials by s k mondal
 
centroid & moment of inertia
centroid & moment of inertiacentroid & moment of inertia
centroid & moment of inertia
 
Tema 5 estructuras bilingüe
Tema 5 estructuras bilingüeTema 5 estructuras bilingüe
Tema 5 estructuras bilingüe
 
Moment of Inertia - 10.01.03.061
Moment of Inertia - 10.01.03.061Moment of Inertia - 10.01.03.061
Moment of Inertia - 10.01.03.061
 
Bending stress
Bending stressBending stress
Bending stress
 
engineering mechanic chapter 1 - basic concepts in statics
engineering mechanic chapter 1 - basic concepts in staticsengineering mechanic chapter 1 - basic concepts in statics
engineering mechanic chapter 1 - basic concepts in statics
 
SOM-BASIC CONCEPTS
SOM-BASIC CONCEPTSSOM-BASIC CONCEPTS
SOM-BASIC CONCEPTS
 
What is pendrive????
What is pendrive????What is pendrive????
What is pendrive????
 
Helicopter moment of inertia
Helicopter moment of inertiaHelicopter moment of inertia
Helicopter moment of inertia
 
Materiales1
Materiales1Materiales1
Materiales1
 
6161103 10.9 mass moment of inertia
6161103 10.9 mass moment of inertia6161103 10.9 mass moment of inertia
6161103 10.9 mass moment of inertia
 
Unit 3 Compound stresses
Unit 3  Compound stressesUnit 3  Compound stresses
Unit 3 Compound stresses
 
Shear Force And Bending Moment Diagram For Frames
Shear Force And Bending Moment Diagram For FramesShear Force And Bending Moment Diagram For Frames
Shear Force And Bending Moment Diagram For Frames
 
Centroids
CentroidsCentroids
Centroids
 
Estructuras 1 eso curso1314sc
Estructuras 1 eso curso1314scEstructuras 1 eso curso1314sc
Estructuras 1 eso curso1314sc
 

Último

FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdfFICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdfPondicherry University
 
Observing-Correct-Grammar-in-Making-Definitions.pptx
Observing-Correct-Grammar-in-Making-Definitions.pptxObserving-Correct-Grammar-in-Making-Definitions.pptx
Observing-Correct-Grammar-in-Making-Definitions.pptxAdelaideRefugio
 
Rich Dad Poor Dad ( PDFDrive.com )--.pdf
Rich Dad Poor Dad ( PDFDrive.com )--.pdfRich Dad Poor Dad ( PDFDrive.com )--.pdf
Rich Dad Poor Dad ( PDFDrive.com )--.pdfJerry Chew
 
Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships
Spring gala 2024 photo slideshow - Celebrating School-Community PartnershipsSpring gala 2024 photo slideshow - Celebrating School-Community Partnerships
Spring gala 2024 photo slideshow - Celebrating School-Community Partnershipsexpandedwebsite
 
How to Manage Website in Odoo 17 Studio App.pptx
How to Manage Website in Odoo 17 Studio App.pptxHow to Manage Website in Odoo 17 Studio App.pptx
How to Manage Website in Odoo 17 Studio App.pptxCeline George
 
MuleSoft Integration with AWS Textract | Calling AWS Textract API |AWS - Clou...
MuleSoft Integration with AWS Textract | Calling AWS Textract API |AWS - Clou...MuleSoft Integration with AWS Textract | Calling AWS Textract API |AWS - Clou...
MuleSoft Integration with AWS Textract | Calling AWS Textract API |AWS - Clou...MysoreMuleSoftMeetup
 
male presentation...pdf.................
male presentation...pdf.................male presentation...pdf.................
male presentation...pdf.................MirzaAbrarBaig5
 
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...Nguyen Thanh Tu Collection
 
UChicago CMSC 23320 - The Best Commit Messages of 2024
UChicago CMSC 23320 - The Best Commit Messages of 2024UChicago CMSC 23320 - The Best Commit Messages of 2024
UChicago CMSC 23320 - The Best Commit Messages of 2024Borja Sotomayor
 
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽中 央社
 
SURVEY I created for uni project research
SURVEY I created for uni project researchSURVEY I created for uni project research
SURVEY I created for uni project researchCaitlinCummins3
 
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...Nguyen Thanh Tu Collection
 
COMMUNICATING NEGATIVE NEWS - APPROACHES .pptx
COMMUNICATING NEGATIVE NEWS - APPROACHES .pptxCOMMUNICATING NEGATIVE NEWS - APPROACHES .pptx
COMMUNICATING NEGATIVE NEWS - APPROACHES .pptxannathomasp01
 
Andreas Schleicher presents at the launch of What does child empowerment mean...
Andreas Schleicher presents at the launch of What does child empowerment mean...Andreas Schleicher presents at the launch of What does child empowerment mean...
Andreas Schleicher presents at the launch of What does child empowerment mean...EduSkills OECD
 
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptx
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptxAnalyzing and resolving a communication crisis in Dhaka textiles LTD.pptx
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptxLimon Prince
 
8 Tips for Effective Working Capital Management
8 Tips for Effective Working Capital Management8 Tips for Effective Working Capital Management
8 Tips for Effective Working Capital ManagementMBA Assignment Experts
 
diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....Ritu480198
 

Último (20)

FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdfFICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
 
Observing-Correct-Grammar-in-Making-Definitions.pptx
Observing-Correct-Grammar-in-Making-Definitions.pptxObserving-Correct-Grammar-in-Making-Definitions.pptx
Observing-Correct-Grammar-in-Making-Definitions.pptx
 
Rich Dad Poor Dad ( PDFDrive.com )--.pdf
Rich Dad Poor Dad ( PDFDrive.com )--.pdfRich Dad Poor Dad ( PDFDrive.com )--.pdf
Rich Dad Poor Dad ( PDFDrive.com )--.pdf
 
Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships
Spring gala 2024 photo slideshow - Celebrating School-Community PartnershipsSpring gala 2024 photo slideshow - Celebrating School-Community Partnerships
Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships
 
VAMOS CUIDAR DO NOSSO PLANETA! .
VAMOS CUIDAR DO NOSSO PLANETA!                    .VAMOS CUIDAR DO NOSSO PLANETA!                    .
VAMOS CUIDAR DO NOSSO PLANETA! .
 
How to Manage Website in Odoo 17 Studio App.pptx
How to Manage Website in Odoo 17 Studio App.pptxHow to Manage Website in Odoo 17 Studio App.pptx
How to Manage Website in Odoo 17 Studio App.pptx
 
MuleSoft Integration with AWS Textract | Calling AWS Textract API |AWS - Clou...
MuleSoft Integration with AWS Textract | Calling AWS Textract API |AWS - Clou...MuleSoft Integration with AWS Textract | Calling AWS Textract API |AWS - Clou...
MuleSoft Integration with AWS Textract | Calling AWS Textract API |AWS - Clou...
 
male presentation...pdf.................
male presentation...pdf.................male presentation...pdf.................
male presentation...pdf.................
 
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
 
UChicago CMSC 23320 - The Best Commit Messages of 2024
UChicago CMSC 23320 - The Best Commit Messages of 2024UChicago CMSC 23320 - The Best Commit Messages of 2024
UChicago CMSC 23320 - The Best Commit Messages of 2024
 
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
 
SURVEY I created for uni project research
SURVEY I created for uni project researchSURVEY I created for uni project research
SURVEY I created for uni project research
 
Mattingly "AI & Prompt Design: Named Entity Recognition"
Mattingly "AI & Prompt Design: Named Entity Recognition"Mattingly "AI & Prompt Design: Named Entity Recognition"
Mattingly "AI & Prompt Design: Named Entity Recognition"
 
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
 
COMMUNICATING NEGATIVE NEWS - APPROACHES .pptx
COMMUNICATING NEGATIVE NEWS - APPROACHES .pptxCOMMUNICATING NEGATIVE NEWS - APPROACHES .pptx
COMMUNICATING NEGATIVE NEWS - APPROACHES .pptx
 
Andreas Schleicher presents at the launch of What does child empowerment mean...
Andreas Schleicher presents at the launch of What does child empowerment mean...Andreas Schleicher presents at the launch of What does child empowerment mean...
Andreas Schleicher presents at the launch of What does child empowerment mean...
 
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptx
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptxAnalyzing and resolving a communication crisis in Dhaka textiles LTD.pptx
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptx
 
8 Tips for Effective Working Capital Management
8 Tips for Effective Working Capital Management8 Tips for Effective Working Capital Management
8 Tips for Effective Working Capital Management
 
diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....
 
Supporting Newcomer Multilingual Learners
Supporting Newcomer  Multilingual LearnersSupporting Newcomer  Multilingual Learners
Supporting Newcomer Multilingual Learners
 

Moment of inertia

  • 1. Shafkat Islam ID: 10.01.03.061 Year: 4th Semester: 2nd Department of Civil Engineering Ahsanullah University of Science & Technology
  • 2. Course No : CE 416 Course Title : Prestress Concrete Design Sessional Course Teacher: Munshi Galib Muktadir
  • 4.
  • 5. α
  • 6. What is Torque or Moment? Torque, moment or moment of force, is the tendency of a force to rotate an object about an axis. What is Angular acceleration? Angular acceleration is the rate of change of angular velocity and is usually denoted by the Greek letter alpha (α).
  • 7.
  • 8.
  • 9.
  • 10. Moment of Inertia (Geometrical property of an area) The moment of inertia of plane area or second moment of inertia is a geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis.
  • 11.
  • 12.
  • 13. Area Moment of Inertia The Area Moment Of Inertia of a beams cross-sectional area measures the beams ability to resist bending. The larger the Moment of Inertia the less the beam will bend. The moment of inertia is a geometrical property of a beam and depends on a reference axis. The smallest Moment of Inertia about any axis passes through the centroid.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18. Polar Moment Of Inertia Moment of Inertia about the z axis The Polar Area Moment Of Inertia of a beams cross-sectional area measures the beams ability to resist torsion. The larger the Polar Moment of Inertia the less the beam will twist.
  • 19.
  • 20.