In the shown square truss ABCD of side a, diagonal AC is an inextensible string and other members are rigid. Find the maximum F for static equilibrium (two decimal kN).
The string can carry tension but not compression. Joint B equilibrium with 100 kN directed right makes BC a 100 kN compressive member. At C its horizontal action is therefore 100 kN right, while applied F has leftward component F cos60°. With AC at 45°, $100-F/2-T/\sqrt2=0$. Nonnegative string tension requires F ≤ 200 kN. Hence the limiting value is **200.00 kN**.
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