Problem 7.4. Inclination

Consider an initial inclination, Θ = 1/200 on the column given in the previous problem. Give the top deflection of the inclined column. Bending stiffness of the steel profile is: EI = 1.46×107 kNcm2.

Solve Problem

Solve

Top deflection [cm]=

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Steps

Step by step

Step 1.  Model the inclination with replacement load. Draw and give the value of the replacement load.

Check replacement load

See Figure 7.28.

H=Nθ=100200=0.5 kN

Step 2.  Calculate the top displacement from the replacement load.

Check top displacement

Table 3.5.
e=HL33EI=0.5×26033×1.46×107=0.2006 cm

Results

Worked out solution

The inclination is modelled by a replacement load.

See Figure 7.28.

H=Nθ=100200=0.5 kN

Top displacement from the replacement load is

Table 3.5.
e=HL33EI=0.5×26033×1.46×107=0.2006 cm