Problem 2 The King-Post structure shown has a beam and three truss members. E = 29000 ksi, I = 400 in², A = 1.25 in² 1) Determine the tension in members AC and BC 2) Determine the maximum moment in beam ADB A $ 12 ft K O вок D iz ft KIFL B A 5 ft D
Problem 2 The King-Post structure shown has a beam and three truss members. E = 29000 ksi, I = 400 in², A = 1.25 in² 1) Determine the tension in members AC and BC 2) Determine the maximum moment in beam ADB A $ 12 ft K O вок D iz ft KIFL B A 5 ft D
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Problem 2**
The King-Post structure shown has a beam and three truss members.
- \( E = 29000 \, \text{ksi} \)
- \( I = 400 \, \text{in}^2 \)
- \( A = 1.25 \, \text{in}^2 \)
**Tasks:**
1) Determine the tension in members AC and BC.
2) Determine the maximum moment in beam ADB.
**Diagram Explanation:**
The diagram depicts a King-Post truss structure:
- Point A is on the left and appears to be a support with a hinge.
- Point B is on the right, also supported, with a roller.
- The horizontal beam AB is divided into two equal lengths of 12 ft each, from A to D and D to B.
- An external load of 80 kips is applied downward at point D.
- Members AC and BC are inclined, both spanning from points A and B to a central bottom point C, forming two triangles with the beam, each having horizontal spans of 12 ft and vertical drops of 5 ft.
The diagram is set on graph paper for clarity, with a clear indication of points and dimensions. It is used to determine the structural responses of this King-Post truss under the given load.
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Step 1: Introducing given data
VIEWStep 2: Selecting redundant
VIEWStep 3: Calculation of redundant structure forces
VIEWStep 4: Calculation of deformation in member CD
VIEWStep 5: Calculate force in member CD
VIEWStep 6: Calculation of force in member AC & BC
VIEWStep 7: Calculate max moment
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