- #1
willnich35
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Homework Statement
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.
Homework 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
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?