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An ASTM A36 W10 x 45 structural steel wide-flange section is used as an axially loaded column. The proportional limit is 34 ksi and the modulus of elasticity is 30(10)³ ksi. (a) Find the allowable axial compressive load using the Euler formula and a factor of safety of 2.0 The length of the column is 26 ft. The column is fixed at the bottom and pinned at the top. (b) Find the allowable axial compressive for the same column if the end conditions are fixed / fixed (fixed at each end). (c) Determine the minimum length of the column at which the Euler formula will still be valid if the column is fixed at the bottom and pinned at the top.

An ASTM A36 W10 x 45 structural steel wide-flange section is used as an axially loaded column. The proportional limit is 34 ksi and the modulus of elasticity is 30(10)³ ksi. (a) Find the allowable axial compressive load using the Euler formula and a factor of safety of 2.0 The length of the column is 26 ft. The column is fixed at the bottom and pinned at the top. (b) Find the allowable axial compressive for the same column if the end conditions are fixed / fixed (fixed at each end). (c) Determine the minimum length of the column at which the Euler formula will still be valid if the column is fixed at the bottom and pinned at the top.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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An ASTM A36 W10 x 45 structural steel wide-flange section is used as an axially loaded column. The proportional limit is 34 ksi and the modulus of elasticity is 30(10)³ ksi. (a) Find the allowable axial compressive load using the Euler formula and a factor of safety of 2.0 The length of the column is 26 ft. The column is fixed at the bottom and pinned at the top. (b) Find the allowable axial compressive for the same column if the end conditions are fixed / fixed (fixed at each end). (c) Determine the minimum length of the column at which the Euler formula will still be valid if the column is fixed at the bottom and pinned at the top. Idealized end Theoretical K conditions value Pinned Fixed Fixed / Pinned Fixed / Free 2.0 using the theoretical K value W10 x 45 properties A = 13.3 in.2 r = 4.32 in. ry = 2.01 in. Recommended K value for Design and Analysis 1.0 0.65 0.80 2.10 No. of times stronger than pinned-end column* 4
Transcribed Image Text:An ASTM A36 W10 x 45 structural steel wide-flange section is used as an axially loaded column. The proportional limit is 34 ksi and the modulus of elasticity is 30(10)³ ksi. (a) Find the allowable axial compressive load using the Euler formula and a factor of safety of 2.0 The length of the column is 26 ft. The column is fixed at the bottom and pinned at the top. (b) Find the allowable axial compressive for the same column if the end conditions are fixed / fixed (fixed at each end). (c) Determine the minimum length of the column at which the Euler formula will still be valid if the column is fixed at the bottom and pinned at the top. Idealized end Theoretical K conditions value Pinned Fixed Fixed / Pinned Fixed / Free 2.0 using the theoretical K value W10 x 45 properties A = 13.3 in.2 r = 4.32 in. ry = 2.01 in. Recommended K value for Design and Analysis 1.0 0.65 0.80 2.10 No. of times stronger than pinned-end column* 4
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