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Fig. Pl-2 Fig. P1-3 At its lower end the column is completely fixed. At the upper end the column is prevented from rotating, but free to translate laterally. (P., = R³E1{L²) 1.3 Find the critical load of the one-degree-of-freedom model of a column shown in Fig. PI-3. The model consists of two rigid bars pin connected to each other and to the supports. A linear rotational spring of stiffness C = M/0, where M is the moment at the spring and 0 is the angle between the two bars, also connects the two bars to each other. (Per 2C|L) %3D

Fig. Pl-2 Fig. P1-3 At its lower end the column is completely fixed. At the upper end the column is prevented from rotating, but free to translate laterally. (P., = R³E1{L²) 1.3 Find the critical load of the one-degree-of-freedom model of a column shown in Fig. PI-3. The model consists of two rigid bars pin connected to each other and to the supports. A linear rotational spring of stiffness C = M/0, where M is the moment at the spring and 0 is the angle between the two bars, also connects the two bars to each other. (Per 2C|L) %3D

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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PrinciplesofStru. -> SIOWN IN Fig. ri-z and use it to determine the critical load of the column. Fig. P1-2 Fig. P1-3 At its lower end the column is completely fixed. At the upper end the column is prevented from rotating, but free to translate laterally. (Pe, = R El/L?) 1.3 Find the critical load of the one-degree-of-freedom model of a column shown in Fig. PI-3. The model consists of two rigid bars pin connected to each other and to the supports. A linear rotational spring of stiffness C = M/0, where M is the moment at the spring and 0 is the angle between the two bars, also connects the two bars to each other. (Per = 2C|L) 1.4 Using the model in Fig. P1-3, obtain and plot relationships for load versus lateral deflection when (a) the lateral deflections are large, (b) the load is applied eccentrically, (c) the model has an initial lateral deflection do. Which fundamental characteristics of an actual column are demonstrated by these models? 1.5 the critical load of the column on three supports shown in Fig. PI-4. 15L Fig. PI-4 (Hint: Write separate equations for each span and make use of the conditions of continuity at the center support.) 1.6 Using the tabulated stainless-steel stress-strain data, construct a column design spdf.com
Transcribed Image Text:PrinciplesofStru. -> SIOWN IN Fig. ri-z and use it to determine the critical load of the column. Fig. P1-2 Fig. P1-3 At its lower end the column is completely fixed. At the upper end the column is prevented from rotating, but free to translate laterally. (Pe, = R El/L?) 1.3 Find the critical load of the one-degree-of-freedom model of a column shown in Fig. PI-3. The model consists of two rigid bars pin connected to each other and to the supports. A linear rotational spring of stiffness C = M/0, where M is the moment at the spring and 0 is the angle between the two bars, also connects the two bars to each other. (Per = 2C|L) 1.4 Using the model in Fig. P1-3, obtain and plot relationships for load versus lateral deflection when (a) the lateral deflections are large, (b) the load is applied eccentrically, (c) the model has an initial lateral deflection do. Which fundamental characteristics of an actual column are demonstrated by these models? 1.5 the critical load of the column on three supports shown in Fig. PI-4. 15L Fig. PI-4 (Hint: Write separate equations for each span and make use of the conditions of continuity at the center support.) 1.6 Using the tabulated stainless-steel stress-strain data, construct a column design spdf.com
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