Skip to main content Accessibility help
Internet Explorer 11 is being discontinued by Microsoft in August 2021. If you have difficulties viewing the site on Internet Explorer 11 we recommend using a different browser such as Microsoft Edge, Google Chrome, Apple Safari or Mozilla Firefox.

Last updated 24 July 2024: Online ordering is currently unavailable due to technical issues. We apologise for any delays responding to customers while we resolve this. Alternative purchasing options are available . For further updates please visit our website: https://www.cambridge.org/news-and-insights/technical-incident 

Home
> Auxiliary Projections

Chapter 11: Auxiliary Projections

Chapter 11: Auxiliary Projections

pp. 222-240

Authors

, Dr B. R. Ambedkar National Institute of Technology, Jalandhar, India, , Guru Nanak Dev Engineering College
  • Add bookmark
  • Cite
  • Share

Extract

Introduction

Three views of an object, viz. the front view, top view and side view, are sometimes not sufficient to provide complete information regarding true shape and size of an object. Additional views are therefore projected on other planes (auxiliary planes) and are known as auxiliary views or auxiliary projections.

Types of Auxiliary Planes and Views

Auxiliary planes are of two types:

  • (a) Auxiliary Vertical Plane (AVP)

  • (b) Auxiliary Inclined Plane (AIP)

Auxiliary vertical plane (AVP):Auxiliary vertical plane (AVP) is perpendicular to the HP and inclined to the VP. The projection on an AVP is called an auxiliary front view. See Fig. 11.1.

Auxiliary inclined plane (AIP):Auxiliary inclined plane (AIP) is perpendicular to the VP and inclined to the HP. The projection on an AIP is called an auxiliary top view. See Fig. 11.2.

For showing the orthographic projections of an object, the auxiliary plane should always be rotated about the plane to which it is perpendicular.

Projections of Points

(a) Projection of a point on an auxiliary vertical plane (AVP):A point A is situated above HP and in front of the VP. AVP is a plane perpendicular to the HP and inclined to the VP. The HT of this plane is inclined to x-y and VT perpendicular to x-y line. The HP and the AVP meet at right angles in the line x1 y1. From the Figs. 11.3 (a) and 11.3 (b), the following points may be observed:

  • (i) The distance of the auxiliary front view from x1y1 is equal to the distance of the front view from x-y, which in turn is the distance of the point A from the HP.

  • (ii) The line x1 y1 is inclined to x-y at an angle ϕ, which is the angle of inclination of the AVP with the VP.

To draw the orthographic projections, see Fig. 11.3 (c).

  • (i) Draw the reference line x-y and mark the front view a’ and the top view a.

  • (ii) Draw a new reference line x1 y1, making an angle ϕ with x-y.

About the book

Access options

Review the options below to login to check your access.

Purchase options

eTextbook
US$99.99
Paperback
US$99.99

Have an access code?

To redeem an access code, please log in with your personal login.

If you believe you should have access to this content, please contact your institutional librarian or consult our FAQ page for further information about accessing our content.

Also available to purchase from these educational ebook suppliers