By Michael Clifford, Kathy Simmons, Philip Shipway
An advent to Mechanical Engineering is a necessary textual content for all first-year undergraduate scholars in addition to these learning for beginning levels and HNDs. The textual content supplies an intensive grounding within the following center engineering themes: thermodynamics, fluid mechanics, strong mechanics, dynamics, electricals and electronics, and fabrics technology. in addition to mechanical engineers, the textual content might be hugely appropriate to civil, car, aeronautical/aerospace and normal engineering students.
The textual content is written via an skilled workforce of first-year academics on the the world over popular collage of Nottingham.
The fabric during this ebook has complete pupil and lecturer aid on an accompanying web site at
* labored examples of exam-style questions
* multiple-choice self-assessment
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Additional resources for An introduction to mechanical engineering. / Part 1
41(a) and (b). 41(a), is modelled with a vertical reaction force which constrains vertical movement but allows free rotation of the beam at the support. 41(b), is modelled with a vertical reaction force and a reaction moment which constrain vertical movement and rotation respectively at the support. This type of support is also referred to as encastré. A beam may be subjected to several different types of loading, either separately or combined. 42. 42 Types of beam loading: (a) point load, (b) uniformly distributed load (UDL) and (c) point moment A point load has units of newtons (N) and acts vertically at a point along the beam span.
Thus, xy acts on the x-plane in the y-direction. 42 Solid mechanics The sign convention for shear stresses is governed by the sense of rotation that the shear stress is trying to impart on the element. Thus: A positive shear stress is trying to rotate the element anticlockwise. xy is therefore positive on both the right-hand and left-hand edges. A negative shear stress is trying to rotate the element clockwise. yx is therefore negative on both the top and bottom edges. In general, the shear stresses and complementary shear stresses are equal in magnitude but opposite in sign.
The simple supports can be represented as vertical reaction forces and, because of symmetry, each must have a W magnitude equal to ᎏᎏ. 2 By sectioning the beam part way in from the right-hand end and drawing the free body diagrams of each half of the beam, we can deduce that, in order to satisfy equilibrium, an internal force and moment must exist at the cross-section. 43 Shear force and bending moment in a simply-supported beam with central point load Looking more closely at the right-hand part of the beam: W A shear force (SF) must exist on the internal face to balance the vertical reaction force, ᎏᎏ.
An introduction to mechanical engineering. / Part 1 by Michael Clifford, Kathy Simmons, Philip Shipway