874_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

874_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 11Ch11.qxd 9/27/08 868 3:39 PM Page 868 CHAPTER 11 Columns Solution 11.4-8 Pipe column (with fixed base) E 210 GPa L d2 100 mm I p4 (d 64 2 d1 (3) UPPER END IS PINNED (BUT NO HORIZONTAL RESTRAINT) 4.0 m 90 mm 4 d 1) 1688 * 103 mm4 (1) UPPER END IS PINNED (WITH NO HORIZONTAL DISPLACEMENT) Pcr 2.046p2EI L2 447 kN Pcr p2EI 4L2 54.7 kN ; ; (4) UPPER END IS GUIDED (NO ROTATION; NO HORIZONTAL RESTRAINT) (2) UPPER END IS FIXED (WITH NO HORIZONTAL DISPLACEMENT) Pcr 4p2EI L2 875 kN ; The lower half of the column is in the same condition as Case (3) above. Pcr Problem 11.4-9 Determine the critical load Pcr and the equation of the buckled shape for an ideal column with ends fixed against rotation (see figure) by solving the differential equation of the deflection curve. (See also Fig. 11-17.) p2EI p2EI 4(L/2)2 L2 ; 219 kN P B L A ...
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