Given the stress values on a material and its properties, calculate the following: 1) mnst, 2) msst, 3) distortion, 4) CoolCamp.

Steps to Solve

1. Identify Given Stresses

The problem provides the following stress values:

• Axial stress, $σ_x = 10 , \text{MPa}$
• Shear stress, $τ = 50 , \text{MPa}$
• Bending stress, $σ_y = 4 , \text{MPa}$

2. Calculate the Maximum Normal Stress (mnst)

The maximum normal stress ($σ_{max}$) can be calculated from the formula:

$$ σ_{max} = σ_x + σ_y $$

Plugging in the values:

$$ σ_{max} = 10 , \text{MPa} + 4 , \text{MPa} = 14 , \text{MPa} $$

This value is for mnst.

3. Calculate the Maximum Shear Stress (msst)

The maximum shear stress ($τ_{max}$) is calculated using the formula:

$$ τ_{max} = \frac{σ_{max} - σ_{min}}{2} $$

Assuming $σ_{min}$ can be approximated to zero if not specified. Therefore:

$$ τ_{max} = \frac{14 , \text{MPa} - 0 , \text{MPa}}{2} = 7 , \text{MPa} $$

This value is for msst.

4. Calculate Distortion Energy Theory (distortion)

Using the distortion energy theory for the equivalent stress ($σ_e$):

$$ σ_e = \sqrt{σ_{1}^2 - σ_{1}τ_{max}} $$

If applied, with $σ_1$ as the maximum normal stress. However, it isn't clear without context which parameters to apply directly.

To keep it simple, we'll assume distortion relates to combined stresses which would need the Mohr's circle method, but since we're not applying specific strain limits, we'll denote distortion as unknown.

5. Determine Coolcamp

This term isn't traditionally defined in mechanics, requiring clarification. Assuming it relates to cumulative effects on material integrity. Thus, it might involve comparing $S_{ut}$, bending/normal/shear criteria.

Given:

$$ S_{ut} = 500 , \text{MPa} $$ The values should be studied against this criterion, yet it's non-specific in terms, often noted in analysis documentation.