By Christopher Jenkins, Sanjeev Khanna
An Engineering better half to Mechanics of fabrics is the 1st quantity within the Momentum Press assortment the fashionable Engineering partners: A platforms method of the examine of Engineering. In Mechanics of fabrics, we observe the intuitive "systems process" to studying, the benefits of that are a number of. the scholar first will get a huge assessment of the complete topic instead of the slim piecemeal imaginative and prescient afforded via the normal "component strategy" universal to so much engineering texts. Mechanics of fabrics comes with extra beneficial properties to enhance pupil studying, together with universal complicated suggestions (C3) famous and clarii ed, indication of key recommendations, facet bar discussions, labored examples, and routines for constructing engineering instinct. The partners are meant as a supplementary source to aid either undergraduate, graduate, and post-graduate scholars higher examine and comprehend engineering strategies
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Extra info for An engineering companion to the mechanics of materials : a systems approach
However, to remain an axial structure, the axis of every crosssection, which is the line passing perpendicularly through the centroid of that cross-section, must remain co-linear. iii. Structures with constant cross-sectional area, or more generally constant second moment of area, are called prismatic structures. iv. Axial structures have one coordinate degree of freedom (CDOF): x-displacement (designated as u). We need to be cautious here about boundary conditions. In the case of tensile axial structures, we can readily allow the case of pinned-free boundary conditions.
A) The body is sectioned so we can look inside and observe the internal reaction on an infinitesimal volume element. T is the traction vector. (b) Stress components in the x-y-z coordinate system. 48 AN ENGINEERING COMPANION TO THE MECHANICS OF MATERIALS We section the body so we can look inside and observe the internal response to external loads, starting with the traction vector T. 18a. 4) We will study this in much more detail in Chapter 4, but for now we consider simple loading to further develop the concept of stress.
1b. Applying the equilibrium equations globally now: + ↑ ¦Fy = 0 : R A + RB − 10 N = 0 R A + RB = 10 N + } ¦M A = 0 : −10 N *1m + RB * 2m = 0 RB = 5N Note that the global reaction forces RA and RB are assumed to be acting in the +y-direction, opposing the applied load. This is the only choice that makes physical sense. But for static problems, the assumed direction doesn’t matter since the sign of the solution will tell you whether you got the direction correct (positive solution) or wrong (negative solution).
An engineering companion to the mechanics of materials : a systems approach by Christopher Jenkins, Sanjeev Khanna