Chapter 18, Problem 18.1P

Calculate the Euler buckling load for an axially loaded, pin-connected $\text{W14 }\times \text{ 22}$ structural steel wide-flange column. The column length is 12 ft, as shown.

To determine

The Euler buckling load for the given member.

Answer to Problem 18.1P

  $P_e=100kips$

Explanation of Solution

Given:

  $\text{W}14\times 22$ Structural steel wide flange column

Column length is $12$ ft

For structural steel modulus of elasticity is $E=30000ksi$

Calculation:

For the wide flange section $\text{W}14\times 22$

Least moment of inertia of the cross section is $I_y=7.0i{n}^4$

The Euler’s buckling for axially loaded member can be

  $\text{Pe = }\frac{{\text{π}}^2\text{EI}}{{\text{L}}^{\text{2}}}$

  $\text{= }\frac{{\text{π}}^2\times \text{30000}\times \text{7}}{{\text{(12}\times \text{12)}}^{\text{2}}}=99.95\text{kips}$

Conclusion:

Therefore, the Euler’s buckling for axially loaded member is, $P_e=100kips$ .