The internal force developed in member AC of the illustrated truss evaluates to_________________?
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Answer: B. 4t tension
Explanation
The correct answer identifies that member AC develops an internal tensile force of 4 metric tons. Joint equilibrium analysis demonstrates that member AC pulls inward toward connected nodes under the applied loads. Vector resolution of forces at the supporting structural joints confirms the 4t tension magnitude. Truss analysis assumes pin-jointed members carry pure axial loads acting along their longitudinal centerlines. Tensile forces cause structural members to stretch slightly while maintaining internal static equilibrium. Metric tons are standard units of force used in heavy structural engineering and construction calculations.
Roof trusses and bridge frameworks rely on tension members to stabilize chords and distribute live loads safely. Structural designers calculate member forces to select appropriate steel tie rods and tensile structural shapes. Verifying internal forces ensures compliance with safety factors in fabricated metal building frameworks. Compressive force options misinterpret the directional pull required by joint equilibrium equations. Alternative force magnitudes like 5t result from incorrect trigonometric resolution of joint angles. Zero force assumptions ignore the active load-carrying role of member AC within the stable truss network.
- Subject
- Engineering
- Category
- Civil Engineering
- Topic
- —
- Difficulty
- medium
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