Page 172 - Finite Element Modeling and Simulations with ANSYS Workbench

Two-Dimensional Elasticity 157

F = 400 N Boundary condition:
y
36 cm The left bolt hole is fixed.
1.5 cm 3 cm 4 cm
4 cm 2 cm
4 cm 4 cm F = 3000 N
x
6 cm

4.6 A bicycle wrench shown below is made of stainless steel with a Young’s modulus
of 193 GPa and a Poisson’s ratio of 0.27. The wrench is 2 mm thick. Using ANSYS
Workbench, determine the location and magnitude of the maximum deforma-
tion and the maximum von Mises stress under the given load and boundary
conditions.

F = 50 N
R = 12 mm R = 12 mm The side lengths of the hexagons
from left to right are 9, 7,
and 5 mm, respectively.
+ + + 24 mm Boundary and load condition:
The smallest hexagon is fixed on
all sides.
A 50 N force is applied on the
6 mm 25 mm 20 mm 2 mm top edge of the wrench.

4.7 Consider a straight and long hexagonal pipe under internal pressure as shown
below. The pipe is made of stainless steel with a Young’s modulus of 193 GPa
and a Poisson’s ratio of 0.27. Using ANSYS Workbench, determine the maximum
in-plane deformation and the maximum von Mises stress under the given load
and boundary conditions.

30 mm
The radius of the internal
hole is 20 mm.
The internal pressure:
p = 20 MPa.
p
Boundary condition:
The hexagonal pipe is
fixed on the bottom.

4.8 Consider a straight and deep tunnel under external pressure. The tunnel is
made of concrete with a Young’s modulus of 29 GPa and a Poisson’s ratio of 0.15.
Using ANSYS Workbench, determine the maximum in-plane deformation and
the maximum in-plane von Mises stress under the given load and boundary
conditions.