The Main Menu اPrevious اPrevious Next Using the successive auxiliary projection, construct the development of the given regular oblique tetragonal prism.

Slides:



Advertisements
Similar presentations
Let’s make engineering more easy
Advertisements

THE ELLIPSE. The Ellipse Figure 1 is ellipse. Distance AB and CD are major and minor axes respectively. Half of the major axis struck as a radius from.
Mathematics.
1 OBJECTIVES : 4.1 CIRCLES (a) Determine the equation of a circle. (b) Determine the centre and radius of a circle by completing the square (c) Find the.
SOLIDS Group A Group B Cylinder Cone Prisms Pyramids
Development of Surfaces.
By: Andrew Shatz & Michael Baker Chapter 15. Chapter 15 section 1 Key Terms: Skew Lines, Oblique Two lines are skew iff they are not parallel and do not.
Lecture 7: The Metric problems. The Main Menu اPrevious اPrevious Next The metric problems 1- Introduction 2- The first problem 3- The second problem.
Example of auxiliary view
Lecture 5: The Auxiliary projection Dr. Samah Mohamed Mabrouk
Analytic Geometry in Three Dimensions
11 Analytic Geometry in Three Dimensions
Lecture 8: The circle & the sphere. The Sphere 1- The orthogonal projection of the sphere 2- Representation of the sphere in Monge’s projection 3- Examples.
PROJECTIONS OF PLANES In this topic various plane figures are the objects. What will be given in the problem? 1.Description of the plane figure. 2.It’s.
1 Reminder-Instructions for equipment  Tutorial 4 onwards you will bring the following  Approximately 21.5 x 15 in. drawing sheets  Cello tape for fixing.
Chapter 2 Using Drawing Tools & Applied Geometry.
Circle Properties Part I. A circle is a set of all points in a plane that are the same distance from a fixed point in a plane The set of points form the.
Problem: A vertical cone, base diameter 75 mm and axis 100 mm long,
Mathematics. Ellipse Session - 1 Session Objectives.
Section Plane Through Apex Section Plane Through Generators Section Plane Parallel to end generator. Section Plane Parallel to Axis. Triangle Ellipse Parabola.
1.SECTIONS OF SOLIDS. 2.DEVELOPMENT. 3.INTERSECTIONS. ENGINEERING APPLICATIONS OF THE PRINCIPLES OF PROJECTIONS OF SOLIDES. STUDY CAREFULLY THE ILLUSTRATIONS.
Engineering Graphics Anna Edusat course on “Engineering Graphics ” Lecture – 4 Projections of Lines Dr. Vela Murali,Ph.D., Head and Professor i/c - Engineering.
SOLIDS To understand and remember various solids in this subject properly, those are classified & arranged in to two major groups. Group A Solids having.
Projection of Planes Plane figures or surfaces have only two dimensions, viz. length & breadth. They do not have thickness. A plane figure, extended if.
SOLIDS To understand and remember various solids in this subject properly, those are classified & arranged in to two major groups. Group A Solids having.
SECTIONS OF SOLIDS. ENGINEERING APPLICATIONS OF THE PRINCIPLES OF PROJECTIONS OF SOLIDS.
Divide into meridian sections – Gore development
Projection of Solid Guided By Prepared by Prof. Utsav Kamadiya
Learning Outcomes 1. Develop and interpret the projection of regular solids like Cone, Pyramid, Prism and Cylinder.
Projection of Plane Prepared by Kasundra Chirag Sarvaiya Kishan Joshi Sarad Jivani Divyesh Guided By Prof. Ankur Tank Mechanical Engg. Dept. Darshan Institute.
PAP: Perpendicular to HP and 45o to VP.
Projections of Straight Lines Engineering Graphics TA 101.
The Main Menu اPrevious اPrevious Next Represent a point A. Given that: 1) A is at equal distances from and 2) The distance of A from the origin 0 is.
Definitions and Symbols © 2008 Mr. Brewer. A flat surface that never ends.
Draw the oblique view 20 H 40 R20  15  H1 L1.
Exercise r2 q” Q2” Q1’ 1x2 r1 Q2’ Q1” q’
Lesson 8 Menu 1.Use the figure to find x. 2.Use the figure to find x. 3.Use the figure to find x.
Lecture 2: The straight line By Dr. Samah Mohamed Mabrouk By Dr. Samah Mohamed Mabrouk
1.3 The Cartesian Coordinate System
Lecture 3: Revision By Dr. Samah Mohamed Mabrouk By Dr. Samah Mohamed Mabrouk
PRESENTATION ON INTERSECTION OF SOLIDS by Mr.Venkata Narayana Mr.A.S.Pavan Kumar Department of Mechanical Engineering SNIST.
Construction of the true size of a plane figure Plane figures in the horizontal/vertical/profile projecting planes 1. Determine the true size of a triangle.
Perimeter, Circumference, and Area
PROJECTIONS OF PLANES Plane surface (plane/lamina/plate)
13.1 The Distance and Midpoint Formulas. Review of Graphs.
What will be given in the problem?
Mathematics. Session Hyperbola Session - 1 Introduction If S is the focus, ZZ´ is the directrix and P is any point on the hyperbola, then by definition.
ENGINEERING GRAPHICS By R.Nathan Assistant Professor Department of Mechanical Engineering C.R.ENGINEERING COLLEGE Alagarkovil, Madurai I - SEMESTER.
Design and Communication Graphics
PROJECTION OF PLANES Hareesha NG Don Bosco Institute of Technology Bangalore-74.
(1) Prism: It is a polyhedra having two equal and similar faces called its ends or bases, parallel to each other and joined by other faces which are rectangles.
Sections of Solids ME 111 Engineering Drawing. Sectional Views The internal hidden details of the object are shown in orthographic views by dashed lines.
Engineering Graphics Lecture Notes
Visit for more Learning Resources
PROJECTIONS OF POINTS.
6.2 Equations of Circles +9+4 Completing the square when a=1
Mechanical Engineering Drawing MECH 211/M
UNIT – III Syllabus (a) Projection of planes: Introduction, types of planes, projection of planes, projection of planes perpendicular to both the reference.
Dr.R. GANESAMOORTHY.B.E.,M.E.,Ph.d. Professor –Mechanical Engineering Saveetha Engineering College TandalamChennai. 9/12/20181Dr.RGM/Prof -Mech/UNIT 1.
£"'>£"'>.I.I ' ·.· · ·..I.
Determining the horizontal and vertical trace of the line
SECTIONS OF SOLIDS Chapter 15
What will be given in the problem?
Chapter 9 Conic Sections.
Review Circles: 1. Find the center and radius of the circle.
Test Dates Thursday, January 4 Chapter 6 Team Test
What will be given in the problem?
PROJECTIONS OF LINES, PLANES AND AUXILIARY PROJECTIONS
Special Segments in a Circle
Projections of Solids Mohammed Umair Hamid
Presentation transcript:

The Main Menu اPrevious اPrevious Next Using the successive auxiliary projection, construct the development of the given regular oblique tetragonal prism ABCD A*B*C*D* whose base ABCD is a square B1B1 B* 2 D* 2 A* 2 C* 2 x 12 B* 1 A* 1 D* 1 C* 1 C1C1 D1D1 A1A1 C2C2 B2B2 D2D2 A2A2

The Main Menu اPrevious اPrevious Next B1B1 C2C2 A2A2 D2D2 B* 2 D* 2 A* 2 C* 2 B* 1 A* 1 D* 1 C* 1 C1C1 D1D1 A 1 B2B2 x 12 x 13 C3C3 A3A3 D3D3 B3B3 C* 3 A* 3 B* 3 D* 3 x 35 C 5 = C* 5 A 5 = A* 5 B 5 = B* 5 D 5 = D* 5 // * *

The Main Menu اPrevious اPrevious A* 3 B* 3 D* 3 // C* 3 x 35 C 5 = C* 5 A 5 = A* 5 B 5 = B* 5 D 5 = D* 5 * * // x 13 C3C3 A3A3 D3D3 B3B3 B* B C* C D* D // * * A* A B*.. A* A

THE CIRCLE The orthogonal projection of a circle : A B C D C D A B rr r S s S

A AB A B C C D D S S AB is a dimeterdimeterdimeterdimeter diameter diameter Parallel Parallel tothe Plane of Projection.. CD is a diam. normal normal to AB. AB.

REMARK b a M a find find find find To find the length of the semi minor axis if the major axis and a point M on the ellipse are given {{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{ x r r r S=A B = Example 1 Example 1 Represent a circle lying in a plane perpendicular with V.P. if its centre and its radius are given. S S

EXA MPLE 2 Represent a circle lying in a plane perpendicular with S.P. ( i.e. parallel to the x-axis ) if its centre and its radius are given. Represent a circle lying in a plane perpendicular with S.P. ( i.e. parallel to the x-axis ) if its centre and its radius are given. S S r S x r

S S S S S r r r r x O

EXAMPLE 3 Construct a circle lying in a plane (-7,8,6),its centre s (1,4,?) and its rsdius is of length 3.5 cms. v h s s x S S

POSITION PROBLEMS 1. INCIDENCE A point lying on a straight line. A point lying in a plane. A straight line lying ln a plane. M mM M M M M m The position problems deal with : CHAPTER 8

2.Parallelism : 2.Parallelism : A straight liine is parallel to another straight line, a straight line is parallel to a plane, a plane is parallel to a given plane. m 3. Intersection The point of intersection of a straight line and a plane. The straight line of intersection of two different planes m // //

m m r M R R = m r = r = FIRST PROBLEM : Parallelism of a straight line and a plane THEOREM: A straight line m is parallel to a given plane iff m is parallel to a straight line lying in the given plane. In figure the straight line k is lying in the plane In figure the straight line k is lying in the plane The straight line m is parallel to the straight line k

v h k m m m x k SECOND PROBLEM : Parallelism of two planes THEOREM : a b b a A plane is said to be parallel to another plane iff the plane contains two intersecting straight lines a and b, each of them is parallel to the plane.

Given a plane and a point M out side it. It is required to construct a plane passing through M and parallel to the given plane i) The plane is given by two intersecting str. Lines M M a a b b a and b a and b ii) The plane is given by two parallel str. Lines a &b

M M aba b M M M a b ba c c iii) The plane is given by its traces iii) The plane is given by its traces v h M M M M v h v h x x x x

The plane is perpendicular with The plane is perpendicular with The plane is perpendicular with The plane is parallel to x-axis v h M M v h x M M v h M M v h v v v x h h M M s v h M M x v h v h M M x M H.P. H.P. V.P.

THIRD PROBLEM: INTERSECTION OF TWO v v hh r v h v h V H r r V H r r Some special cases One of the two planes is vertical: x h h v v r =r i- PLANES

Ii- One of the two planes is perpendicular with V. P. v v v=r v=r h r iii- One of the two planes is parallel to x- axis iii- One of the two planes is parallel to x- axis x v v h h r r x

Iv- The two planes are parallel to the x- axis v v h h r r r s s X X X X x v- One of the two planes is horizontal v v v= r r r h o

Vi- One of the two planes is frontal h X r r r r v v h Vii- Two traces do not intersect We use an auxiliary frontal or horizontal plane to find one point of intersection. h h v v v vv r v v R R v H

v v h v h r r H H R R viii) Both vertical and Horizontal traces do not intersect. do not intersect. H v h v h R R S S r r v h

EXAMPLE Construct the line of intersection of a plane given by two intersecting str. Lines a&b with a plane given by two parallel str. Lines c& d. a b a b c d d c v v r r S S R R

Given a straight line m mm x i. To pass a vertical plane through the straight line m v h m m ii. To pass a plane normal to V.P. through m ii. To pass a plane normal to V.P. through m v h m m x x EXAMPLE

FOURTH PROBLEM: POINT OF INTERSECTION OF A STRAIGHT LINE m AND A PLANE i) The plane is in a special position : 1- The plane is horizontal 2. The plane is frontal m m mmmmmmmm m h x m m v v v v v R R R R

3. The plane is vertical 4. The plane is normal to V.P. m m xRR h v m m v h x