Mechanics of MaterialsThis text provides a clear, comprehensive presentation of both the theory and applications of mechanics of materials. The text examines the physical behaviour of materials under load, then proceeds to model this behaviour to development theory. The contents of each chapter are organized into welldefined units that allow instructors great flexibility in course emphasis. writing style, cohesive organization, and exercises, examples, and free body diagrams to help prepare tomorrow's engineers. The book contains over 1,700 homework problems depicting realistic situations students are likely to encounter as engineers. These illustrated problems are designed to stimulate student interest and enable them to reduce problems from a physical description to a model or symbolic representation to which the theoretical principles may be applied. The problems balance FPS and SI units and are arranged in an increasing order of difficulty so students can evaluate their understanding of the material. 
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Page 783
parallel x and x' axes is defined as dr Since the moment of inertia of dA about the
x axis is dlx = (y' + dy)2dA, then for the entire area, tx=\ (/ + dy)2dA = I y'2dA + 2dy\
y'dA + dy2\ dA □>A J A J A J A The first term on the right represents the ...
parallel x and x' axes is defined as dr Since the moment of inertia of dA about the
x axis is dlx = (y' + dy)2dA, then for the entire area, tx=\ (/ + dy)2dA = I y'2dA + 2dy\
y'dA + dy2\ dA □>A J A J A J A The first term on the right represents the ...
Page 786
A10 (ry=Av<M A. 3 Product of Inertia for an Area In general, the moment of
inertia for an area is different for every axis about which it is computed. In some
applications of mechanical or structural design it is necessary to know the
orientation ...
A10 (ry=Av<M A. 3 Product of Inertia for an Area In general, the moment of
inertia for an area is different for every axis about which it is computed. In some
applications of mechanical or structural design it is necessary to know the
orientation ...
Page 791
Procedure for Analysis The main purpose for using Mohr's circle here is to have a
convenient means of transforming Ix, Iy, and Ixy into the principal moments of
inertia. The following procedure provides a method for doing this. Compute lx, Iyi
...
Procedure for Analysis The main purpose for using Mohr's circle here is to have a
convenient means of transforming Ix, Iy, and Ixy into the principal moments of
inertia. The following procedure provides a method for doing this. Compute lx, Iyi
...
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allowable shear stress aluminum angle of twist Applying Eq assumed average normal stress average shear stress axes axial force axial load beam's buckling caused centroid column compressive stress computed constant cross section crosssectional area deflection deformation Determine the maximum distributed load Draw the shear elastic curve element EXAMPLE factor of safety freebody diagram Hooke's law inertia internal loadings kip/ft length linearelastic loading shown located material maximum bending stress maximum inplane shear maximum shear stress modulus of elasticity Mohr's circle neutral axis normal strain plastic positive principal stresses radius reactions sectional area segment shaft shear center shear force shear strain shown in Fig SOLUTION Solve Prob statically indeterminate steel strain energy stress acting stress components stress developed stress distribution stressstrain diagram Tanow tensile tensile stress thickness tion torque torsional tube vertical yield zero