Question

17.3 A solid circular steel column having a d-150 mm diameter is subjected to a centric compressive load Fat the free end. Determine the critical load if the length of the column is (a) 2.0 m, (b) 1.2 m, and (c) 0.5 m. Use op-280 MPa, 0,=350 MPa, E-210 GPa, a-461 MPa, and b=2,568 MPa.

Answer 1

# Giren data, A solid circular steel column Diameter (d) = 150 mm. 2015 m. Condition for the given column is one end fined and another end free. So from Eulens critical load formula we get Para 12 EI Lez Where tez z effective rength. Here as per the condition of given column effective length hearl I= moment of Inertia = (24) % (0.15). 2.485x10.5m4. giren Ez 210 Gipa a 210 x 109 W/m2 mula we get so from for ☺ when Length of the column laam Per a 12 EI 12 ET 024210 x 109 x 25485 z Lez (21]2 A 10-5 Por = 3219096.47 H (2x272 Parz 3219.096 KW @ 1-2m (6) When 212 m Per a 126 12 x 210x10 9 X 2.485 410-5 7 (22) 2 Por 2 8941.75 KN (2012) @ Laliam (C) When 120.5m. Pere 12 x 210 x 109 x 2.485 x 26-15 D) 2B1 (202 2 Per a 51504.53 KH. @ L 0.5m.