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

This e-book is a set of difficulties for complicated scholars within the quarter of energy of fabrics. It attracts the reader?s realization additionally to difficulties which are frequently neglected and solutions questions which are some distance past a coaching path and require extra basic realizing. All difficulties are supplied with specified recommendations to permit the reader to both know about the problem-solving approach or simply to examine his/her personal approach of resolution. The learn and academic paintings of V.I. Feodosiev used to be conducted within the Bauman Moscow country technical college the place he held the path on power of fabrics for fifty years. Deep perception into engineering difficulties, clearness of thoughts and magnificence of strategies observed through pedagogical expertise are the most beneficial properties of his variety.

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**Additional info for Advanced Stress and Stability Analysis: Worked Examples (Foundations of Engineering Mechanics)**

**Example text**

It is evident that if column ends are not very wide then the second mode buckling will take place under load lower than for the …rst case. In particular, if the width of the column ends vanishes, the ¼ 2 EJ :Determine the minimal critical load for the critical load will be P cr = (2l)2 case when each end width is equal to 2e. Fig. 132 142. A weightless beam clamped at its right end (Fig. 133) lies freely on a rigid base. The beam is loaded by force P applied at the free-end cross-section centroid and directed at angle ± to the rigid base.

112). Can this tube buckle under su¢ciently high pressure? 123. A liquid of speci…c weight ° runs through the tube pinned at both ends (Fig. 113). Fig. 113 Show that under some value of liquid velocity v the tube looses its stability like Euler’s column. 46 4. Stability Part I. Problems 124. Let us consider the following problem. A rod having roundings of radius R at its ends (Fig. 114) is compressed without friction between two solid slabs. It is necessary to determine the critical load. Fig. e.

123). Fig. 123 Fig. 124 Under de‡ection of rod from its vertical position the left half of the rope lays tightly upon the lateral surface of the rod and causes contact pressure. The rope at the right side of the rod freely takes a vertical position. Calculate the critical load. 134. A ring is subjected to an external uniformly distributed load (Fig. 124). Will any di¤erence be observed in values of the critical load: a) if it is caused by pressure which is permanently normal to the arc of the ring; b) if it is caused by radial forces directed permanently to the center?