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(Solved): Problem.1 Take E, G, A, I, L, P and k (Shear Correction Factor) are given constants. ^(**) Using the ...



Problem.1 Take E, G, A, I, L, P and k (Shear Correction Factor) are given constants.

^(**)

Using the method of multiplication of areas of

M_(p),V_(p)

and

N_(p)

and

/bar (M)(,)/(b)ar (V)(,)/(b)ar (N)

, diagrams, such that

\int_0^l (N_(p))/(b)ar (N)dx=\omega _(p)y^(**);\int_0^l (V_(p))/(b)ar (V)dx=(\omega _(p))/(b)ar (y);\int_0^l (M_(p))/(b)ar (M)dx=(\omega _(p))/(b)ar (y)

; introduced in class, not using the functions. Determine: the vertical displacement without shear effects,

\Delta _(Cv)

at point C ; *(Optional) the rotation,

\theta _(A)

at point A . Partial key:

\Delta cv=(9PL^(^())3)(128E1)

(down) Problem 2): Take E, G, A, I, L, qs, and k (Shear Correction Factor) are given constants and using the method of multiplication of areas of

M_(p)V_(p)

and

N_(p)

and

/bar (M)(,)/(b)ar (V)(,)/(b)ar (N)

, diagrams, we discussed in class. a) Determine the deflection

\Delta _(cv)

at point C including shear effects; b) Determine under what condition (or L/h ratio) shear effects can be ignored for

k=(6)/(5)

for a rectangular cross section,

A=b^( )h,v=0.3

(Poisson's ratio) and

G=E[2(1 v)]

. Hint: follow the example we did in class.



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