Question

14.23- TOPIC: COLUMNS together, as shown in figure below. The applied load is P -80 kips. a) If the length is L- 10 ft, what are the maximum stress and the maximum deflection? Consider this: A wooden box column (E- 1800 ksi) is constructed by joining four pieces of lumber b) If the allowable stress is 3 ksi, what is the maximum permissible length L to the nearest inch? Present a clearly written step-by-step solution 4 in 4 in 8 in 0.667 inHA- I. 8 in

Answer 1

Cross - section of number I_xx = 320 in^4 Area = 48 in^2 Max stress = local/area = 80/48 kips = 1.67 kis At the end A support is roller no moment will be generated therefore load will transfer at it is \r\n Allowable stress p_cr = pi^2 EI/L^2_eff l^2eff = pi^2 EI/P_cr = pi^2 * 1800 times 320/3 leff = 1376.58 in.