Question

Problem 36 The column is made of material that has an elastic modulus of 3500 ksi and an ultimate strength of 4 ksi. What is the maximum axial compressive load the column can resist. a) 4.97 kips b) 15.62 kips c) 17.85 kips d) 200.00 kips e) 7496.40 kips 10 in 20 A

Answer 1

Solution Page : 1 Given clatas, Elastie modulus, E= 3500 ksi ultimate strength, a = 4ksi Length of column, d = 20 ft width of column, b = 10 In depth of column, el 5 ln . Loaded area. A = wichth a depth 10x5 50 In? Since there is no eccentricity on column, the load is acting on Centroielal axis le 6 = P P Load А → strength o → Arrea .P= 5 x A 4x 50 p = 200 kips

for buckling Page: 2 the critical buckling load of Euler Buckling load Poo -> 2. Per T? EI 2 Le for One end fixed and other and free Column effective length factor, k = 2 kod .. effective length, Le- so = 2067 2 x 20 x 12 loches 480 Inches. I => Moment of Ipertra bd3 12 3 10x5 12 104.167 164 2 Per = T x 3500 x 104.167 2 480 15.617 ~ 15.62 kips P = 200 kips Per = 15.62 kips. le

Page :3 ... The mascimum axial compresspue load the column can resist , P = 200 kips. . The answer is option d ied) 200.00 kips.