2-5. Six reinforcing rods, each
with a diamter of mm, are embedded in a
concrete piece with a diameter of
mm. If the piece
is subjected to an axial force of
kN, determine
the normal stress in the concrete and in the rods. The constants
GPa and
GPa
are given.
Fig. 2.5
Solution
Find the area of the rod and of the concrete.
m2
m2
Develop the equilibrium equation for the piece.
Next, develop a compatability equation.
To solve
for the normal stress in the rods, combine the equilibruim equation and the
compatability equation to derive an equation for in
terms of P.
Solve for the normal stress in the rods.
= 95.1 MPa
= 0.00128 MPa
Thus
MPa
Ans.
To solve
for the normal stress in the concrete, combine the equilibrium equation and the
compatability equation to derive an equation for in
terms of P.
Solve for the normal stress in the concrete.
= 11.3 MPa
= 0.000153 MPa
Thus
MPa Ans.