By V.I. Feodosiev, Sergey A. Voronov, Sergey V. Yaresko

This ebook is a suite of difficulties for complex scholars within the quarter of power of fabrics. It attracts the reader´s cognizance additionally to difficulties which are frequently missed and solutions questions which are a ways past a coaching direction and require extra primary realizing. All difficulties are supplied with special strategies to permit the reader to both find out about the problem-solving procedure or simply to ascertain his/her personal manner of answer. The study and academic paintings of V.I. Feodosiev was once performed within the Bauman Moscow kingdom technical college the place he held the direction on energy of fabrics for fifty years. Deep perception into engineering difficulties, clearness of techniques and magnificence of options followed by way of pedagogical expertise are the most beneficial properties of his style.

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Extra resources for Advanced stress and stability analysis: worked examples

Example text

Can this force cause the rod’ buckling under su¢cient pressure value? Fig. 107 Fig. 108 Fig. 109 118. A straight wooden rod of constant cross-section is immersed by its lower end into water. The rod is clamped at the water level (Fig. 108). Can this rod buckle under action of Archimede’s buoyant force in case of su¢ciently large length l? 119. A rod is e¤ected by lateral pressure (Fig. 109). The upper end of the rod is taken out of the vessel through the gasket. If the pressure grows, the rod must elongate (Poisson’s ratio is not equal to zero).

The set of the previous task is slightly changed. Now let us consider the behavior of a rod with circular cross-section installed in a tube. Clearance remains the same: ¢. The question is what stresses will arise in the rod if it is compressed by the force greater than the …rst critical load that is greater than ¼ 2 E J=l2 ? Bending rigidity is EJ . 127. Determine the critical force for a column with two ends clamped. The column has di¤erent bending rigidities (EJ 1 and E J2 ) depending on the sign of the bending moment.

130 Fig. 131 140. Let us imagine a rod with narrow rectangular cross-section clamped at its lower end (Fig. 131). If load P is central then its critical value is known to be equal to ¼ 2E J=(4l 2 ): What will be the change in this result if the point of load application is displaced along axis z by the value a from the cross-section centroid? 54 4. Stability Part I. Problems 141. A column with plane ends is compressed between two slabs (Fig. 132a). Two main equilibrium de‡ection curves are possible under buckling: the …rst one shown in Fig.

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