1. The document provides formulas for calculating slope, deflection, and maximum deflection for various beam types under different loading conditions. It gives the equations for cantilever beams with concentrated loads, uniformly distributed loads, and varying loads. It also provides the equations for simply supported beams with these different load types and with couple moments applied. The equations relate the beam properties like length, load location, and intensity to the resulting slope and deflection values.
1) Moment of inertia is the rotational analog of mass for linear motion and appears in the relationships for rotational dynamics.
2) The moment of inertia must be specified with respect to a chosen axis of rotation and is calculated by summing the products of small elements of mass and their distances from the axis.
3) The perpendicular axis theorem states that for a planar object, the moment of inertia about an axis perpendicular to the plane is the sum of the moments of inertia about two perpendicular axes in the plane.
Folds are bends or curvatures that develop in rocks due to stresses. They can take many shapes depending on factors like force magnitude and direction. Folds develop slowly over geological time as rocks adjust to changing stress fields. They are classified based on whether the strata bend up (anticlines) or down (synclines). Additional classifications consider the position of the axial plane and relative dipping of the limbs. Complex fold types include overturned, recumbent, and box folds. Folds form over a range of scales from small individual structures to large regional folding.
Mohr's circle is a graphical representation of the transformation of stresses on planes at a point in a material. It relates normal and shear stresses on inclined planes to the principal stresses. The circle is centered at the average stress and has a radius equal to the difference between the maximum and minimum principal stresses. Mohr's circle allows determination of stresses on any inclined plane from knowledge of the principal stresses and provides insight into failure conditions of materials.
There are several types of defects that can arise in solids, including point defects like vacancies and interstitials, line defects like dislocations, and area defects like grain boundaries. The number and type of defects can be controlled through processing parameters and affect the material properties. While some defects are undesirable, others can play important roles like enabling plastic deformation through dislocation motion. Advanced microscopy techniques allow direct imaging of these defect structures at atomic scales.
The document provides an overview of fluid kinematics and dynamics concepts over 12 hours. It discusses types of fluid flow such as steady, unsteady, uniform, laminar, turbulent and more. It also covers fluid motion analysis using Lagrangian and Eulerian methods. Key concepts covered include velocity, acceleration, streamlines, pathlines, continuity equation, and momentum equation. Circulation and vorticity are also defined. The document aims to equip readers with fundamental understanding of fluid motion characteristics and governing equations.
FEATool Multiphysics Matlab FEM and CFD Toolbox - v1.6 Quickstart GuideFEATool Multiphysics
FEATool Multiphysics v1.6 Quickstart Guide
FEATool Multiphysics is a fully integrated and easy to use Matlab Multiphysics PDE and FEM Finite Element Analysis simulation toolbox, featuring built-in support for heat transfer, computational fluid dynamics CFD, chemical and reaction engineering, and structural mechanics modeling and simulation.
Visit https://www.featool.com for more information.
1. The document provides formulas for calculating slope, deflection, and maximum deflection for various beam types under different loading conditions. It gives the equations for cantilever beams with concentrated loads, uniformly distributed loads, and varying loads. It also provides the equations for simply supported beams with these different load types and with couple moments applied. The equations relate the beam properties like length, load location, and intensity to the resulting slope and deflection values.
1) Moment of inertia is the rotational analog of mass for linear motion and appears in the relationships for rotational dynamics.
2) The moment of inertia must be specified with respect to a chosen axis of rotation and is calculated by summing the products of small elements of mass and their distances from the axis.
3) The perpendicular axis theorem states that for a planar object, the moment of inertia about an axis perpendicular to the plane is the sum of the moments of inertia about two perpendicular axes in the plane.
Folds are bends or curvatures that develop in rocks due to stresses. They can take many shapes depending on factors like force magnitude and direction. Folds develop slowly over geological time as rocks adjust to changing stress fields. They are classified based on whether the strata bend up (anticlines) or down (synclines). Additional classifications consider the position of the axial plane and relative dipping of the limbs. Complex fold types include overturned, recumbent, and box folds. Folds form over a range of scales from small individual structures to large regional folding.
Mohr's circle is a graphical representation of the transformation of stresses on planes at a point in a material. It relates normal and shear stresses on inclined planes to the principal stresses. The circle is centered at the average stress and has a radius equal to the difference between the maximum and minimum principal stresses. Mohr's circle allows determination of stresses on any inclined plane from knowledge of the principal stresses and provides insight into failure conditions of materials.
There are several types of defects that can arise in solids, including point defects like vacancies and interstitials, line defects like dislocations, and area defects like grain boundaries. The number and type of defects can be controlled through processing parameters and affect the material properties. While some defects are undesirable, others can play important roles like enabling plastic deformation through dislocation motion. Advanced microscopy techniques allow direct imaging of these defect structures at atomic scales.
The document provides an overview of fluid kinematics and dynamics concepts over 12 hours. It discusses types of fluid flow such as steady, unsteady, uniform, laminar, turbulent and more. It also covers fluid motion analysis using Lagrangian and Eulerian methods. Key concepts covered include velocity, acceleration, streamlines, pathlines, continuity equation, and momentum equation. Circulation and vorticity are also defined. The document aims to equip readers with fundamental understanding of fluid motion characteristics and governing equations.
FEATool Multiphysics Matlab FEM and CFD Toolbox - v1.6 Quickstart GuideFEATool Multiphysics
FEATool Multiphysics v1.6 Quickstart Guide
FEATool Multiphysics is a fully integrated and easy to use Matlab Multiphysics PDE and FEM Finite Element Analysis simulation toolbox, featuring built-in support for heat transfer, computational fluid dynamics CFD, chemical and reaction engineering, and structural mechanics modeling and simulation.
Visit https://www.featool.com for more information.
The document discusses various methods for analyzing beam deflection and deformation under loading, including:
1) Deriving the differential equation for the elastic curve of a beam and applying boundary conditions to determine the curve and maximum deflection.
2) Using the method of superposition to analyze beams subjected to multiple loadings by combining the effects of individual loads.
3) Applying moment-area theorems which relate the bending moment diagram to slope and deflection, allowing deflection calculations for beams with various support conditions.
The document summarizes a seminar on subduction and abduction zones. It defines subduction as the process where one tectonic plate moves under another at a convergent boundary. Abduction is the overthrusting of oceanic crust onto continental crust at these boundaries. The document describes different types of abduction mechanisms including upwedging in subduction zones, compressional telescoping onto continental margins, and abduction occurring during continental collisions when oceanic crust is trapped between converging continents.
The document is a chapter from an engineering mechanics textbook covering statics. It provides 11 example problems involving drawing free body diagrams to represent physical systems. The problems include spheres, beams, cranes, rods, and other objects, and require identifying the relevant forces and calculating reactions. Solutions are provided for each problem, with diagrams and step-by-step working. The chapter demonstrates how to set up and solve static equilibrium problems using free body diagrams.
Rekonstruksi bidang batas melibatkan pencarian garis potong antara bidang batas batuan dengan permukaan topografi. Bidang batas yang umumnya direkonstruksi adalah bidang atap atau lantai lapisan batubara atau kontak antara dua formasi batuan. Rekonstruksi dilakukan dengan menggunakan hukum "V" untuk menentukan jarak antar kontur lapisan berdasarkan interval kontur dan sudut kemiringan lapisan.
1) Bernoulli's equation states that the total energy of a fluid particle remains constant as it flows through a pipe or channel. This includes the particle's potential energy, kinetic energy, and pressure energy.
2) The document provides an example calculation using Bernoulli's equation to determine the total head of water flowing through a pipe.
3) Bernoulli's equation is derived from Euler's equation for fluid motion and the conservation of energy, based on assumptions of inviscid, incompressible, steady flow along a streamline.
This document contains notes from a prestressed concrete design course. It defines key terms related to moment of inertia including:
1) Moment of inertia is a body's tendency to resist angular acceleration, calculated as the sum of the products of mass and distance from the axis of rotation.
2) Torque or moment is the tendency of a force to rotate an object about an axis.
3) Angular acceleration is the rate of change of angular velocity.
It then discusses different types of moments of inertia including area moment of inertia, which measures a beam's ability to resist bending, and polar moment of inertia, which measures ability to resist torsion. Formulas for calculating each are provided.
*Introduction
*Controls For Setting Out
*Horizontal control
*Vertical control
*SETTING OUT A BUILDING
*The equipment required for the job
*Method(1):-By using a Circumscribing Rectangle
*Method(2):- By using centre-line-rectangle
* Setting out of culverts
*SETTING OUT A TUNNEL
This document discusses the concept of centroid and provides formulas to calculate the centroid of different geometric shapes. It defines centroid as the point within an object where the downward force of gravity appears to act. The centroid allows an object to remain balanced when placed on a pivot at the centroid point. Formulas are given for finding the centroid of triangles, rectangles, circles, semicircles, right circular cones, and composite figures. Real-life applications of centroid calculation in construction and engineering are also mentioned.
The document discusses finite element analysis (FEA) and its applications. It provides an overview of FEA, including the basic theory and principles. It explains that FEA is a numerical method for solving engineering problems by dividing a complex system into smaller pieces called finite elements. The document lists various element types and common applications of FEA, such as thermal, modal, buckling, and non-linear analyses. It also provides resources on FEA tutorials and examples involving different problem types.
Learn Online Courses of Subject Engineering Mechanics of First Year Engineering. Clear the Concepts of Engineering Mechanics Through Video Lectures and PDF Notes. Visit us: https://ekeeda.com/streamdetails/subject/Engineering-Mechanics
Mohr's circle is a graphical representation of the transformation between normal and shear stresses on planes at various angles to the original plane of reference in two-dimensional stress fields. It allows determination of principal stresses and maximum shear stress. The document discusses the theory behind Mohr's circle, how to construct it, and provides an example problem calculating principal stresses and maximum shear stress given normal and shear stresses on a reference plane.
Fluid Mechanics in SI Units 2nd Edition hibbeler 2021.pdfsandipanpaul16
This document provides information about accessing the companion website for the textbook "Fluid Mechanics, Second Edition in SI Units" by R. C. Hibbeler, including:
- A one-time password to access video solutions on the companion website.
- Instructions for registering an account on the companion website using the provided access code.
- Contact information for instructors to obtain an access code for the companion website materials.
1) The document discusses the stability and buckling behavior of columns under axial loading. It introduces Euler's formula for determining the critical buckling load of pin-ended beams and describes how this analysis can be extended to columns.
2) Sample problems demonstrate how to design columns for centric and eccentric axial loads using these analytical methods and by considering stress limits. Design approaches vary based on the column's slenderness ratio.
3) The effects of eccentric loading are evaluated using a secant formula approach, where the eccentric load is modeled as a centric load plus a bending moment. Stress limits and interaction equations are provided.
Dokumen tersebut membahas tentang sistem kristal triklin. Sistem ini memiliki tiga sumbu simetri yang tidak sama panjangnya dan tidak saling tegak lurus. Sistem ini terbagi menjadi dua kelas, yaitu pedial dan pinakoidal, yang hanya memiliki satu elemen simetri berupa pusat. Contoh mineral dengan sistem kristal ini adalah felspar albit.
I. The document discusses four types of damping: viscous, hysteretic, dry friction, and electromagnetic.
II. It provides equations to calculate the amplitude and phase angle of the steady-state response of a damped harmonic oscillator subjected to harmonic excitation.
III. Rotational systems exhibit analogous behavior to rectilinear systems, with analogous variables and responses that follow equivalent equations.
Presentation on Equilibrium and Equilibrium equation 2DToufiq Rifath
This document provides an overview of equilibrium and equilibrium equations in two dimensions (2D). It defines equilibrium as a state of balanced opposing forces, and describes static and dynamic equilibrium. It outlines the key equations of equilibrium for 2D systems - that the sum of the horizontal forces equals zero, the sum of the vertical forces equals zero, and the sum of the moments about any point equals zero. An example problem is shown to demonstrate applying these equations to a 2D frame with multiple forces to solve for unknown reaction forces.
This document discusses bending, shear and moment diagrams, and bending deformation of beams. It provides examples of constructing shear and moment diagrams for different types of beams under various loading conditions. The key relationships discussed are:
1) The relationship between load and shear is the change in shear equals the area under the load diagram.
2) The relationship between shear and bending moment is the change in moment equals the area under the shear diagram.
3) Bending of a beam leads to elongation of fibers on the outside of the bend and compression of fibers on the inside. The maximum strain occurs at the surface farthest from the neutral axis.
The document discusses various methods for analyzing beam deflection and deformation under loading, including:
1) Deriving the differential equation for the elastic curve of a beam and applying boundary conditions to determine the curve and maximum deflection.
2) Using the method of superposition to analyze beams subjected to multiple loadings by combining the effects of individual loads.
3) Applying moment-area theorems which relate the bending moment diagram to slope and deflection, allowing deflection calculations for beams with various support conditions.
The document summarizes a seminar on subduction and abduction zones. It defines subduction as the process where one tectonic plate moves under another at a convergent boundary. Abduction is the overthrusting of oceanic crust onto continental crust at these boundaries. The document describes different types of abduction mechanisms including upwedging in subduction zones, compressional telescoping onto continental margins, and abduction occurring during continental collisions when oceanic crust is trapped between converging continents.
The document is a chapter from an engineering mechanics textbook covering statics. It provides 11 example problems involving drawing free body diagrams to represent physical systems. The problems include spheres, beams, cranes, rods, and other objects, and require identifying the relevant forces and calculating reactions. Solutions are provided for each problem, with diagrams and step-by-step working. The chapter demonstrates how to set up and solve static equilibrium problems using free body diagrams.
Rekonstruksi bidang batas melibatkan pencarian garis potong antara bidang batas batuan dengan permukaan topografi. Bidang batas yang umumnya direkonstruksi adalah bidang atap atau lantai lapisan batubara atau kontak antara dua formasi batuan. Rekonstruksi dilakukan dengan menggunakan hukum "V" untuk menentukan jarak antar kontur lapisan berdasarkan interval kontur dan sudut kemiringan lapisan.
1) Bernoulli's equation states that the total energy of a fluid particle remains constant as it flows through a pipe or channel. This includes the particle's potential energy, kinetic energy, and pressure energy.
2) The document provides an example calculation using Bernoulli's equation to determine the total head of water flowing through a pipe.
3) Bernoulli's equation is derived from Euler's equation for fluid motion and the conservation of energy, based on assumptions of inviscid, incompressible, steady flow along a streamline.
This document contains notes from a prestressed concrete design course. It defines key terms related to moment of inertia including:
1) Moment of inertia is a body's tendency to resist angular acceleration, calculated as the sum of the products of mass and distance from the axis of rotation.
2) Torque or moment is the tendency of a force to rotate an object about an axis.
3) Angular acceleration is the rate of change of angular velocity.
It then discusses different types of moments of inertia including area moment of inertia, which measures a beam's ability to resist bending, and polar moment of inertia, which measures ability to resist torsion. Formulas for calculating each are provided.
*Introduction
*Controls For Setting Out
*Horizontal control
*Vertical control
*SETTING OUT A BUILDING
*The equipment required for the job
*Method(1):-By using a Circumscribing Rectangle
*Method(2):- By using centre-line-rectangle
* Setting out of culverts
*SETTING OUT A TUNNEL
This document discusses the concept of centroid and provides formulas to calculate the centroid of different geometric shapes. It defines centroid as the point within an object where the downward force of gravity appears to act. The centroid allows an object to remain balanced when placed on a pivot at the centroid point. Formulas are given for finding the centroid of triangles, rectangles, circles, semicircles, right circular cones, and composite figures. Real-life applications of centroid calculation in construction and engineering are also mentioned.
The document discusses finite element analysis (FEA) and its applications. It provides an overview of FEA, including the basic theory and principles. It explains that FEA is a numerical method for solving engineering problems by dividing a complex system into smaller pieces called finite elements. The document lists various element types and common applications of FEA, such as thermal, modal, buckling, and non-linear analyses. It also provides resources on FEA tutorials and examples involving different problem types.
Learn Online Courses of Subject Engineering Mechanics of First Year Engineering. Clear the Concepts of Engineering Mechanics Through Video Lectures and PDF Notes. Visit us: https://ekeeda.com/streamdetails/subject/Engineering-Mechanics
Mohr's circle is a graphical representation of the transformation between normal and shear stresses on planes at various angles to the original plane of reference in two-dimensional stress fields. It allows determination of principal stresses and maximum shear stress. The document discusses the theory behind Mohr's circle, how to construct it, and provides an example problem calculating principal stresses and maximum shear stress given normal and shear stresses on a reference plane.
Fluid Mechanics in SI Units 2nd Edition hibbeler 2021.pdfsandipanpaul16
This document provides information about accessing the companion website for the textbook "Fluid Mechanics, Second Edition in SI Units" by R. C. Hibbeler, including:
- A one-time password to access video solutions on the companion website.
- Instructions for registering an account on the companion website using the provided access code.
- Contact information for instructors to obtain an access code for the companion website materials.
1) The document discusses the stability and buckling behavior of columns under axial loading. It introduces Euler's formula for determining the critical buckling load of pin-ended beams and describes how this analysis can be extended to columns.
2) Sample problems demonstrate how to design columns for centric and eccentric axial loads using these analytical methods and by considering stress limits. Design approaches vary based on the column's slenderness ratio.
3) The effects of eccentric loading are evaluated using a secant formula approach, where the eccentric load is modeled as a centric load plus a bending moment. Stress limits and interaction equations are provided.
Dokumen tersebut membahas tentang sistem kristal triklin. Sistem ini memiliki tiga sumbu simetri yang tidak sama panjangnya dan tidak saling tegak lurus. Sistem ini terbagi menjadi dua kelas, yaitu pedial dan pinakoidal, yang hanya memiliki satu elemen simetri berupa pusat. Contoh mineral dengan sistem kristal ini adalah felspar albit.
I. The document discusses four types of damping: viscous, hysteretic, dry friction, and electromagnetic.
II. It provides equations to calculate the amplitude and phase angle of the steady-state response of a damped harmonic oscillator subjected to harmonic excitation.
III. Rotational systems exhibit analogous behavior to rectilinear systems, with analogous variables and responses that follow equivalent equations.
Presentation on Equilibrium and Equilibrium equation 2DToufiq Rifath
This document provides an overview of equilibrium and equilibrium equations in two dimensions (2D). It defines equilibrium as a state of balanced opposing forces, and describes static and dynamic equilibrium. It outlines the key equations of equilibrium for 2D systems - that the sum of the horizontal forces equals zero, the sum of the vertical forces equals zero, and the sum of the moments about any point equals zero. An example problem is shown to demonstrate applying these equations to a 2D frame with multiple forces to solve for unknown reaction forces.
This document discusses bending, shear and moment diagrams, and bending deformation of beams. It provides examples of constructing shear and moment diagrams for different types of beams under various loading conditions. The key relationships discussed are:
1) The relationship between load and shear is the change in shear equals the area under the load diagram.
2) The relationship between shear and bending moment is the change in moment equals the area under the shear diagram.
3) Bending of a beam leads to elongation of fibers on the outside of the bend and compression of fibers on the inside. The maximum strain occurs at the surface farthest from the neutral axis.
This document discusses seismic hazard analysis and provides examples from Turkey. It covers:
1. Seismic hazard analysis of Erzincan and surrounding areas in Turkey.
2. The North Anatolian Fault Zone and how aftershocks influence seismic activity.
3. Creating seismic hazard maps and estimating the maximum possible earthquake magnitude (Mmax).
The document is presented by Ali Osman Öncel and focuses on introducing seismic hazard analysis and concepts like active fault mapping, earthquake frequency over time, recurrence intervals, and acceleration maps. Examples are provided from Turkey's seismicity and the region around Erzincan.
80.YIL DEPREM PANELİ POSTER BİLDİRİ İLE KATILMAK İSTEYEN DEPREM KONUSUNDA BİTİRME PROJESİ, YÜKSEK LİSANS VE DOKTORA YAPAN KATILIMCILARA AÇIKTIR. POSTER BİLDİRİ BAŞLIKLARI DÜZENLEME KURULU SEKRETERİ İŞLETME YÜKSEK MÜHENDİSİ BİNNUR GÜRÜL'E GÖNDERİLEBİLİR.
EMAİL: binnurgurul@yahoo.com
2. DOĞAL AFETLER VE KORUNMA
YOLLARI
Deprem
Erozyon
Sel baskınları
Toprak kayması
Çığ
3. DEPREM NEDİR?
Dünyanın yer kabuğunda çeşitli nedenlerle kısa süreli olarak görülen
sarsıntılara deprem denir.
Depremin en şiddetli olarak duyulduğu yere deprem merkezi denir.
Sarsıntının etkili olduğu yerlere deprem alanı denir.
4. DEPREME KARŞI ALINMASI GEREKEN
ÖNLEMLER
1. Depreme engel olamayız ama depremin zararlarını en aza
indirmek için önlemler alabiliriz.
2. Binalar gevşek toprak alanlarından uzak, sert yerlere yapılmalıdır.
3. Evler tek veya iki katlı olmalıdır.
4. Büyük binalar betonarme, sağlam yapılmalıdır.
6. DEPREM ANINDA YAPILMASI
GEREKENLER
1. Deprem anında bulunduğumuz yerde sağlam eşyaların
yanında cenin şeklini alıp sarsıntının bitmesini
beklemeliyiz.
2. Sarsıntı bittiği an hemen bulunduğumuz yeri terk edip
dışarı çıkmalıyız.
7. DEPREM ANINDA YAPILMASI
GEREKENLER
3. Binaların yapımında depreme dayanıklı
kaliteli malzeme kullanılmalıdır.
4. Binaların iki kattan fazla olmamasına dikkat
edilmelidir.
5. Yapılar yapım sırasında denetlenmelidir ve
kaçak yapılaşmaya izin verilmemelidir.
8.
9. SEL BASKINLARI
Yerleşim yerlerini su
basmasıyla oluşan doğal
afete sel veya su baskını
denir.
Sel suları hızla akar ve
önüne gelen her şeyi
sürükler, can ve mal
kaybına sebep olur.
10. SEL BASKINLARINI ÖNLEME
ÇALIŞMALARI
1. Yerleşim yerleri sel
bölgelerinin dışına
çıkartılmalıdır.
2. Akarsu yatakları
temizlenmeli ve
genişletilmelidir.
11. SEL BASKINLARINI ÖNLEME
ÇALIŞMALARI
3. Akarsular barajlarla ve bentlerle kontrol
altına alınmalıdır. Çıplak alanlar
ağaçlandırılmalıdır.
4. Akış hızı fazla olan akarsuların yatağında
diklik giderici basamaklama yapılmalıdır.
12. EROZYON
Toprağın üst tabakasının
su veya rüzgarın etkisiyle
aşınıp sürüklenmesine
erozyon denir.
Erozyon bir başka şekli ile
rüzgar süpürmesidir.
13. TOPRAK KAYMASI (HEYELAN)
Kaya parçalarının ve toprak
katmanının kayarak yer
değiştirmesine toprak
kayması veya heyelan denir.
Heyelan yurdumuzda en çok
Doğu Karadeniz yöresinde
görülmektedir.
14. TOPRAK KAYMASINI ÖNLEME
ÇALIŞMALARI
1. Dik ve çıplak yerler bitki örtüsü ile
kaplanmalıdır.
2. Yolların heyelan bölgelerinden uzağa
yapılmasına çalışılmalıdır.
3. Dik yerlerin etek kısımları fazla kazılıp
oyulmamalıdır.Gerekirse destek duvarı
yapılmalıdır.
15. TOPRAK KAYMASINI ÖNLEME
ÇALIŞMALARI
4. Akar su yatakları dayanıklı
duvarla kontrol altına
alınmalıdır.
5. Yol yapımında yarmalar
fazla dik ve derin
açılmamalıdır.
6. Yerleşme yerleri toprak
kayma alanlarının dışına
çıkarılmalıdır.
16. ÇIĞ
Kışın dağdan kayarak
aşağıya doğru hareket
eden,ilerledikçe
kütlesi ve gücü artan
karın kaymasına çığ
denir.
Çığ en çok Doğu
Anadolu bölgemizde
görülür.
17. ÇIĞ AFETİNE KARŞI ALINACAK
ÖNLEMLER
1. Eğimin çok bulunduğu yerler yeterince
ağaçlandırılmalıdır.
2. Çığ olma olasılığı kuvvetli olan yerlerde
perdeleme yapılmalıdır.
3. Kış sporları çığ alanlarından uzak yerlerde
yapılmalıdır.
18. ÇIĞ AFETİNE KARŞI ALINACAK
ÖNLEMLER
4. Çığ bölgelerinden
geçerken gürültü
çıkarılmamalıdır.
5. Kara ve demir yolu
ulaşımı çığ
alanlarının
uzağında
yapılmalıdır.
6. Yerleşim yerleri çığ
alanından uzaklara
konmalıdır.
