(a) Explanation The eccentricity of the load in the column is e = 0.25 in . . The horizontal deflection at end C is y m = 0.50 in . . The size of the square aluminium bar is a = 1.75 in . . The modulus of elasticity of the aluminium bar is E = 10.1 × 10 6 psi . The length of the bar is L = 2.5 ft . Determine the moment of inertia of square aluminum bar ( I ) using the equation. I = a 4 12 Here, the size of the square section is a . Substitute 1.75 in. for a . I = 1.75 4 12 = 0.78158 in . 4 The effective length of the column ( L e ) is twice the length of the column ( L ). L e = 2 L = 5 ft Determine the critical load ( P cr ) using the equation. P c r = π 2 E I ( L e ) 2 Here, the modulus of elasticity is E . Substitute 10.1 × 10 6 psi for E , 0.78158 in . 4 for I , and 5 ft for L e . P cr = π 2 × 10.1 × 10 6 × 0.78158 ( 5 ft × 12 in (b) To determine Find the maximum stress in the column.

7th Edition

ISBN: 9780073398235

Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David F. Mazurek

Publisher: McGraw-Hill Education

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Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

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Chapter 10.2, Problem 35P

(a)

To determine

Find the axial load P applied at the point D.

(b)

To determine

Find the maximum stress in the column.

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Chapter 10.2, Problem 34P

Chapter 10.2, Problem 36P

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Find the axial load P applied at the point D .

Solution Summary: The author determines the moment of inertia of square aluminum bar ( I ) using the equation.