(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A uniform beam, supported by a uniform strut, is loaded as shown in Figure (Attached). Using the unit load method, determine the value of the vertical deflection at C.

BEAM: E = 205 kN/mm2, I = 90 x 106 mm4.

STRUT: E = 205 kN/mm2, A = 1500 mm2.

2. Relevant equations

The virtual work equation, which is.

1.[tex]\Delta[/tex]=[tex]\sum[/tex]p[tex]\frac{PL}{AE}[/tex]+[tex]\int[/tex][tex]\frac{mM}{EI}[/tex]dx

3. The attempt at a solution

REAL Reactions at A and B in the x and y directions:

Fx = Ax + Bx = 0

Fy = Ay + 15 + (4*2) - By = 0

Mb = (15*2) - 8 - 2Ay = 0

Ay = 11 kN

By = 34 kN

Ax = Bx = 17 * SqRt(2)

Axial Force (P) in member AB = 17 * SqRt(2)

DB = 34 * SqRt(2)

VIRTUAL Reactions

Apply a force of 1 kN downwards at C

Axial Force (p) in member AB = -2

DB = 2 * SqRt(2)

I then attempted to solve the virtual work equation, however the value of A for member AC is not given.

So i guess my questions are, have I started this correctly, and how do I solve the problem?

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# Finding the deflection using the unit load method.

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