Solve the Truss. Your end result should be a diagram with all member and reaction
forces labeled with the amount of force and
either the direction indicated with an arrow
or whether it is under Tension(positive) or
compression(negative).

Please find attached the diagram end result of the truss with the member reaction forces labelled with the amount of forces as required, created with Microsoft Visio

Explanation:

To answer the question, we note that the sum of the forces in the Truss is zero

Therefore, we have, ∑Fₓ = = 0 N

The forces on the members CD and AD are therefore as follows;

Horizontal forces;

× cos(45°) - × cos(30.964°) = 100.0 N...(1)

× sin(45°) + × sin(30.964°) = 750.0 N...(2)

Solving the above system of equations using a graphing calculator gives;

≈ 715.94 N (Tension)

≈ 473.76 N (Compression)

+  = 750.0 N

= 100.0 N

From ∑M = 0, we have;

× 8 = 750 × 3 + 100 × 3

= 2550/8 = 318.75 N

∴  = 750.0 N - = 750.0 N - 318.75 N = 431.25 N  

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