Theory of Elastic Stability
The best available guide to the elastic stability of large structures, this book introduces the principles and theory of structural stability. It was co-authored by the father of modern engineering mechanics, Stephen Timoshenko, and James Gere, who updated the materials and worked closely with Dr. Timoshenko. Relevant to aspects of civil, mechanical, and aerospace engineering, this classic covers the essentials of static and dynamic instabilities.
Topics range from theoretical explanations of 2- and 3-D stress and strain to practical applications such as torsion, bending, thermal stress, and wave propagation through solids. Additional subjects include beam columns, curved bars and arches, buckling of rings, and experiments and design formulas. Particularly suitable for advanced undergraduate and graduate students of engineering, this volume is also an indispensable reference for professionals.
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angle applied approximate assumed axes axis bar with hinged beam becomes bending moment bending moments buckled bar calculating the critical centroid coeﬂicients column compression member compressive force compressive stress constant corresponding critical load critical stress critical value cross section cylindrical shell deﬁned deﬂection curve deformation denote determining differential equation discussed displacements eccentricity edges elastic energy method energy of bending equal to zero Euler expression factor factor of safety ﬁber ﬁgure ﬁnd ﬁrst ﬂange ﬂexural rigidity formula given by Eq gives half-waves hinged ends increase inﬁnitely initial curvature lateral buckling lateral load length longitudinal magnitude maximum middle plane middle surface modulus moment of inertia notation problem produced proportional limit rectangular plate represented rotation satisﬁed shear center shearing force shearing stress shown in Fig simply supported solution stiffeners strain energy Substituting symmetrical taking tangent Timoshenko tion torsion twist vertical