Multiple choice

Two steel truss members, AC and BC, each having cross sectional area of 100 mm2 are subjected to a horizontal force F as shown in figure, all the joints are hinged.

The maximum force F in kN that can be applied at C such that the axial stress in any of the truss members DOES NOT exceed 100 Mpa is

  1. 8.17

  2. 11.15

  3. 14.14

  4. 22.30

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$T_2 = 100 \times 100\\ 0.8965F = 100 \times 100 \\ f = \frac{100 \times 100}{0.8965} = 11154.5N \\ F = 11.15kN$