The aluminum beam ABCD shown is simply supported at A and supported at B and D b

Question

The aluminum beam ABCD shown is simply supported at A and supported at B and D by steel cables, each having an effective diameter of 0.25 in. The second area moment of the beam is 1 = 1.2 in^4. A force of 5 kips is applied at point C. Using procedure 2 of Sec. 4-10, determine the stresses in the cables and the deflections of B. C, and D). Discuss how you could solve these equations. Write down the equations in matrix form. Solve the equations using any method you prefer. (I suggest solving the matrix form, using a tool such as Matlab or your calculator. Procedure 2 Write the equations of static equilibrium for the beam in terms of the applied loads and unknown restraint reactions. Write the deflection equation for the beam in terms of the applied loads and unknown restraint reactions. Apply boundary conditions to the deflection equation of step 2 consistent w ith the restraints. Solve the equations from steps I and 3.

Explanation / Answer

The normal reactions at point B and point D are 86 kips and 43 kips.

While the deflection value is 6.77mm

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