Engineering Graphics Unit 1 Conic Sections and Cycloids

ENGINEERING GRAPHICS

(Engineering Drawing is the language of Engineers)

UNIT 1

Conic Section (Ellipse, Parabola & Hyperbola) - Cycloids, epicycloids,

hypocycloids & Involutes around circle and square – scales – diagonal – vernier

scale – Free hand sketching

Definition: Engineering graphical language for effective communication among engineers which

elaborates the details of any component, structure or circuit at its initial drawing through

drawing.

The following are the various drafting tools used in engineering graphics.

 Drawing Board

 Mini drafter or T- square

 Drawing Instrument box

 Drawing Pencils

 Eraser

 Templates

 Set squares

 Protractor

 Scale Set

 French curves

 Drawing clips

 Duster piece of cloth (or) brush

 Sand-paper (or) Emery sheet block

 Drawing sheet

Drawing board and mini drafter

Above figure shows drawing board and mini drafter. A mini drafter is a drafting instrument

which is a combination of scale, protractor and set square. It is used for drawing parallel,

perpendicular and angular at any place in the drawing sheet.

Divider and compass

Pro-circle

Set squares

Sizes of drawing sheet

The table shows the designation of drawing sheet and its size in millimeter.

Designation

Dimension, mm Trimmed size

841 x 1189

594 x 841

420 x 594

297 x 420

210 x 297

Overview

Engineering Graphics Unit 1 Conic Sections and Cycloids

Engineering Graphics Unit 1 focuses on conic sections, including ellipses, parabolas, and hyperbolas, essential for understanding geometric principles in engineering. The notes cover the construction of cycloids, epicycloids, and hypocycloids, providing practical applications for engineering students. Detailed methods for dimensioning circles, arcs, and semicircles are included, along with solved examples to reinforce learning. This resource is ideal for engineering students seeking to master graphical representation techniques and prepare for exams in engineering graphics. Key Points Covers conic sections including ellipses, parabolas, and hyperbolas essential for engineering applications. Includes methods for constructing cycloids, epicycloids, and hypocycloids with practical examp…

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FAQs

What are the key characteristics of ellipses in engineering graphics?

Ellipses are defined as the locus of points where the sum of distances from two fixed points, called foci, remains constant. In engineering graphics, ellipses are crucial for designing components that require smooth curves, such as gears and wheels. The eccentricity of an ellipse, which is less than one, determines its shape and can be calculated using the distance from the center to the foci. Understanding ellipses is essential for creating accurate representations in technical drawings.

How are cycloids constructed in engineering graphics?

Cycloids are curves traced by a point on the circumference of a circle as it rolls along a straight line. To construct a cycloid, the circle is divided into equal segments, and the path traced by the point is plotted based on the circle's rotation. This method is vital for applications in mechanical engineering, particularly in the design of cam profiles and other rotating machinery. The construction of cycloids also illustrates the relationship between circular motion and linear distance.

What is the significance of hyperbolas in engineering applications?

Hyperbolas are defined as the locus of points where the difference of distances from two fixed points, known as foci, is constant. In engineering, hyperbolas are significant in fields such as navigation and telecommunications, where they can represent signal paths and trajectories. The eccentricity of a hyperbola is greater than one, which affects its shape and properties. Understanding hyperbolas allows engineers to design systems that rely on precise geometric configurations.

What techniques are used for dimensioning circles and arcs?

Dimensioning circles and arcs involves using specific symbols and notations to indicate diameter and radius. The diameter is represented by the symbol 'Φ', while the radius is denoted by 'R'. Accurate dimensioning is crucial for ensuring that parts fit together correctly in engineering designs. Techniques include placing dimensions outside the drawing area for clarity and using consistent units throughout the technical drawings to avoid confusion.

What are the applications of parabolas in engineering designs?

Parabolas are commonly used in engineering designs, particularly in structures like bridges and satellite dishes. Their unique geometric properties allow for efficient load distribution and optimal signal reception. In engineering graphics, understanding how to construct and represent parabolas is essential for creating accurate models and drawings. The focus and directrix of a parabola play a critical role in its applications, influencing the design's performance.

Key Points

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