Learning Goal:
To determine the state of stress in a solid rod using the principle of
superposition.
A solid rod has a diameter of e=55mm and is subjected to the loading
shown. Let a=180mm,b=200mm,c=350mm,d=250mm,
and P=4.0kN. Take point A to be at the top of the circular cross-
section. (Figure 1)
M_(z)=
Value
Part C - Stress due to the normal force
To find the state of stress at A, the principle of superposition must be used. If the rod has a diameter of 55 mm , find the stress \sigma _(A) due to the normal force.
Express your answer to five significant figures and include the appropriate units.
View Available Hint(s)
\sigma _(A)=
Part D - Stress due to the bending moment about the x axis
To find the state of stress at A, the principle of superposition must be used. If the rod has a diameter of 55
Part A - Moment about the x axis at A
As shown (Figure 2), a cut was made at A to determine the resultant internal loadings. Determine the moment about the x axis, Mx .
Express your answer to three significant figures and include the appropriate units.
View Available Hint(s) for Part A
Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type
Mx =
nothingnothing
Part B - Moment about the z axis at A
As shown (Figure 2), a cut was made at A to determine the resultant internal loadings. Determine the moment about the z axis, Mz .
Express your answer to three significant figures and include the appropriate units.
Part E - Superposition of all the stresses at A
To find the state of stress at A, the principle of superposition must be used. Find the stress \sigma A due to all of the loadings on the rod.
Express your answer to five significant figures and include the appropriate units.
