The mast of a derrick made of steel is shown in Fig. 8.21. All joints are pin-connected, and the connection details are so made that the mast is loaded axially. Using Euler's formula with a factor of safety of 2.5, determine the permissible vertical force P. Assume that buckling can only occur in the plane of the structure. Given that modulus of elasticity of steel is 200 GPa. Answer: 59.7 kN X 4.6 m y! Section a-a 1(xx) = (yy) = 80 × 104 mm Wire O A Figure 8.21 30° 30? b P B Wire Section b-b |(xx) = 100 x 10 mmª I(yy) = 240 x 10¹ mm*

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The mast of a derrick made of steel is shown in Fig. 8.21. All joints are pin-connected,
and the connection details are so ma

X
4.6 m
y!
Section a-a
1(xx) = (yy) = 80 × 104 mm
Wire
O
A
Figure 8.21
30°
30?
b
P
B
Wire
Section b-b
|(xx) = 100 x 10 mmª
I(

The mast of a derrick made of steel is shown in Fig. 8.21. All joints are pin-connected, and the connection details are so made that the mast is loaded axially. Using Euler's formula with a factor of safety of 2.5, determine the permissible vertical force P. Assume that buckling can only occur in the plane of the structure. Given that modulus of elasticity of steel is 200 GPa. Answer: 59.7 kN X 4.6 m y! Section a-a 1(xx) = (yy) = 80 × 104 mm Wire O A Figure 8.21 30° 30? b P B Wire Section b-b |(xx) = 100 x 10 mmª I(yy) = 240 x 10¹ mm*

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