{"id":264791,"date":"2026-07-15T02:26:46","date_gmt":"2026-07-14T23:26:46","guid":{"rendered":"https:\/\/1kitap1.com\/en\/introduction-to-mechanical-engineering-p2-2e-michael-clifford\/"},"modified":"2026-07-15T02:26:46","modified_gmt":"2026-07-14T23:26:46","slug":"introduction-to-mechanical-engineering-p2-2e-michael-clifford","status":"publish","type":"post","link":"https:\/\/1kitap1.com\/en\/introduction-to-mechanical-engineering-p2-2e-michael-clifford\/","title":{"rendered":"Introduction To Mechanical Engineering P2 2E – Michael Clifford"},"content":{"rendered":"
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However, there is also a resultant moment about the y-\u00adaxis, which is as follows: \u03c3 = \u2212 = \u2212 = \u2212 \u222b \u222b . . . . y xy xdA c y xdA c I where xy xydA = \u222b is the Product Moment of Area [note the \u2212ve sign arising because a positive stress results in a \u2013ve moment about the y-\u00adaxis] Thus, in general, a moment has to be applied about the y-\u00adaxis as well as the x-\u00adaxis to produce bending about the x-\u00adaxis only.<\/p>\n

A +ve moment is required about the y-\u00adaxis to counterbalance the \u2013ve moment set up by the stresses arising from Mx. This is not the case if Ixy is zero, that is, for sections which are symmetric about the y-\u00adaxis. To ensure bending about the x-\u00adaxis only, a resultant moment y = + must be applied at angle, \u03b8, given by tan tan y xy \u03b8 \u2212 \u2212 \u2212 \uf8eb \uf8f6 \uf8eb \uf8f6 = = \uf8ec \uf8f7 \uf8ec \uf8f7 \uf8ed \uf8f8 \uf8ed \uf8f8 The resultant moment is only applied to the x-\u00adaxis when Ixy = 0.<\/p>\n

Figure 3.97 illustrates the effect for the z-\u00adsection. If a bending moment is applied about the x-\u00adaxis only, then the stresses in the flanges will create a resulting moment about the y-\u00adaxis. Consequently, bending will take place about both the x-\u00ad and y-\u00adaxes. This is a consequence of Ixy not being zero for this asymmetric section. To avoid this moment coupling effect, it is usually convenient to solve bending problems by considering bending about the principal axes of a section for which the product moment of area is zero.<\/p>\n

Mx y Tensile Stresses Compressive Stresses FIGURE 3.97 Z-section. 274\b Introduction to Mechanical Engineering 3.9.2.1 \u0007Solving Asymmetrical Bending Problems Consider the arbitrary asymmetric section shown in Figure 3.98(a). O is the centroid and O-\u00adp and O-\u00adq are the principal axes of the section. The principal axes are inclined at angle \u03b8 to the x-\u00ady axes.<\/p>\n

The components of an applied moment M, that is Mx and My, act about the O-\u00adx and O-\u00ady axes, respectively.<\/p>\n

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Introduction to Mechanical Engineering: Part 2 is the essential text for all second-\u00adyear undergrad- uate students as well as those studying foundation degrees and Higher National Diplomas. Written by an experienced team of lecturers at the internationally renowned University of Nottingham, the text provides thorough coverage of the following core engineering topics, fully updated for the Second Edition: \u2022 Fluid dynamics \u2022 Thermodynamics \u2022 Solid mechanics \u2022 Electromechanical drive systems \u2022 Feedback and control theory \u2022 Structural vibration As well as mechanical engineers, the text will be highly relevant to automotive, aeronautical\/aero- space and general engineering students.<\/p>\n

All units include questions, with Units 4 and 5 including enhanced, detailed solutions online as a bonus feature. Introduction to Mechanical Engineering Introduction to Mechanical Engineering Part 2 Second Edition Edited by Michael Clifford Designed cover image: www.shutterstock.com Second edition published 2025 by CRC Press 2385 NW Executive Center Drive, Suite 320, Boca Raton FL 33431 and by CRC Press 4 Park Square, Milton Park, Abingdon, Oxon, OX14 4RN CRC Press is an imprint of Taylor & Francis Group, LLC \u00a9 2025 selection and editorial matter, Michael Clifford; individual chapters, the contributors First edition published by CRC Press 2010 Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the validity of all materials or the consequences of their use.<\/p>\n

The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint.<\/p>\n

Every effort has been made to contact copyright-holders. Please advise the publisher of any errors or omissions, and these will be corrected in subsequent editions. Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, reproduced, transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, micro- filming, and recording, or in any information storage or retrieval system, without written permission from the publishers.<\/p>\n<\/blockquote>\n

This is a short excerpt from the opening of “” by Unknown, quoted for review and introduction purposes. All rights belong to the copyright holders.<\/em><\/p>\n

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