By V.I. Feodosiev, Sergey A. Voronov, Sergey V. Yaresko
This booklet is a set of difficulties for complicated scholars within the zone of energy 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 targeted options to permit the reader to both know about the problem-solving procedure or simply to examine his/her personal approach of resolution. The examine and academic paintings of V.I. Feodosiev used to be performed within the Bauman Moscow nation technical collage the place he held the direction on power of fabrics for fifty years. Deep perception into engineering difficulties, clearness of techniques and magnificence of strategies followed via pedagogical expertise are the most gains of his kind.
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Extra resources for Advanced Stress and Stability Analysis: Worked Examples (Foundations of Engineering Mechanics)
Assume that buckling occurs in the plane of the rod system. 115. A plane square articulated frame consisting of rigid rods is sti¤ened by two elastic diagonal rods of length 2l connected with each other (Fig. 104). Fig. 104 Diagonal rods have a rectangular cross-section with measures b and h p (b >> h) : If the frame is loaded by force P 2 as shown in Fig. 104 then one diagonal is stretched and another is compressed by forces P . What value of force P will cause the rods’ buckling out of the frame plane?
Fig. 101 Fig. 102 Fig. 103 112. The pin-ended column (Fig. 102) is heated uniformly. Let’s …nd the normal compressive force supposing that the supports are absolutely incompliant. It evidently has the value N = ®tE F: Under force N = ¼ 2 E J=l 2 the straight-line mode of the column’s equilibrium becomes unstable and the column will buckle under further heating. Then the critical temperature will ¼ 2J : be tcr = ®F l2 However, there is the following doubt concerning this result. While we consider the problem of buckling for a column compressed by load P we suppose that force P does not change during buckling and is independent on column bending.
The upper hole of a thin long tube is slipped over a solid stationary plug without friction. The lower end of the tube is clamped in a solid foundation. Pressure p is fed into the tube (Fig. 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.
Advanced Stress and Stability Analysis: Worked Examples (Foundations of Engineering Mechanics) by V.I. Feodosiev, Sergey A. Voronov, Sergey V. Yaresko