Physics

 

A length of rolled steel channel is fixed rigidly at one end and is free at the other end

and is subjected to an axial load. It has a flange width of 59mm (A) and a depth of 42 mm (B).

Both the web and flange have a thickness of 6mm (C). The modulus of elasticity is 205 GPa and the yield stress is 226 MPa.

P _L_

B m m
of”.
a re 4 r c

Determine the horizontal distance to the neutral axis from point P (left is positive, answer in mm).
Determine the vertical distance to the neutral axis from point P (up is positive, answer in mm).
Determine the 2nd moment of area around the horizontal neutral axis (answer in mA4).

Determine the 2nd moment of area around the vertical neutral axis (answer in mA4).

Determine the load, under perfect conditions, that buckling and yielding occur simultaneously (answer in kN).
Determine the channel length, under perfect conditions, given that the load is 433kN (answer in mm).
Select the 6 correct answers from the list below:

Select one or more:

a. 213.1632

b. 2.13633783206107E-07

c. 1.6022533740458E-O7

d. 1.86929560305343E-07

e. -23.2671755725191

f. -29.5

g. -47.2

h. 0.0000004073575

i. -35.4

j. 315.949607912779