By V.I. Feodosiev, Sergey A. Voronov, Sergey V. Yaresko
This e-book is a suite of difficulties for complicated scholars within the region of power of fabrics. It attracts the reader´s cognizance additionally to difficulties which are frequently neglected and solutions questions which are some distance past a coaching direction and require extra basic knowing. All difficulties are supplied with exact ideas to allow the reader to both find out about the problem-solving approach or simply to ascertain his/her personal approach of resolution. The examine and academic paintings of V.I. Feodosiev used to be conducted within the Bauman Moscow kingdom technical collage the place he held the path on energy of fabrics for fifty years. Deep perception into engineering difficulties, clearness of ideas and style of recommendations followed via pedagogical expertise are the most positive aspects of his style.
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Additional info for Advanced stress and stability analysis: worked examples
Interpret the result obtained above. Pcr = 125. A long elastic rod with pinned ends is inserted with clearance ¢ into a rigid channel (Fig. 116). e. greater than ¼ 2 E J=l2 ? Assume that only in-plane bending is possible. Bending rigidity is E J: Fig. 116 48 4. Stability Part I. Problems 126. 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 ?
118 Part I. Problems 49 Fig. 119 Fig. 120 Fig. 121 131. The following problem can be set in conjunction with the previous question. Determine the critical load for a column of length l in dependence on distance a from the column’s free end to the block (Fig. 121). 50 4. Stability Part I. Problems 132. Two rods of equal rigidity but of di¤erent length are compressed by longitudinal force P (Fig. 122). Fig. 122 What distance from the clamp point does one have to place a pin in order to get equal buckling safety factors for both rods?
69 The spring dimensions are shown in Fig. 69. 74. e. Z M x ds = 0: S 75. Show that area the restricted by the contour of a non-stretched plane ring frame under bending by a system of plane loads in case of small displacements remains unchanged that is equal to ¼R2 (Fig. 70). Fig. 70 30 2. Cross-Section Geometry Characteristics: Bending Part I. Problems 76. Two sheets of the same thickness h and width b are glued together so they overlap (Fig. 71). The sheets are bent in the plane of drawing. Determine the law of load transfer from sheet to sheet considering that the glue layer is elastic.