Solving Strength of Materials Homework Problem

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SUMMARY

The discussion revolves around solving a Strength of Materials homework problem involving moments and stresses. The user calculated the moment at the y-axis as M(y) = 10Nm and the moment at the z-axis as M(z) = 48Nm. The resulting stress at the x-axis was determined to be -20MPa, with shear stress at the xz plane calculated as 8.33MPa. The user seeks assistance in verifying their approach and calculations, particularly in applying the principle strain equation.

PREREQUISITES
  • Understanding of Strength of Materials concepts
  • Familiarity with stress and strain calculations
  • Knowledge of moment and shear stress equations
  • Proficiency in unit conversions for mechanical engineering
NEXT STEPS
  • Review the derivation of the principle strain equation
  • Study the calculation of moments in three-dimensional structures
  • Learn about the significance of the polar moment of inertia (J) in shear stress calculations
  • Explore common mistakes in stress analysis and unit conversions
USEFUL FOR

Students studying mechanical engineering, particularly those focusing on Strength of Materials, as well as educators and tutors assisting with related homework problems.

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Homework Statement



In the attachment

Homework Equations



The Attempt at a Solution



I have been solving this question for quite some time but I can't get the answer yet.
I offset all the forces to point C and I get the following values:
Moment at y-axis, M(y) = 10Nm
Moment at z-axis, M(z) = 48Nm

Stress at x-axis = -M(z) x (21mm) / I = -20MPa
Stress at z-axis = 0

Shear stress at xz plane = Tc/J
= (40Nm) (21mm) / J
= 8.33MPa
By applying the following equations to get the principle strain,
tan(2theta)=2(Shear stress at xz plane) /(Stress at x-axis - Stress at z-axis)

I can't get the correct answer.

Can anyone help me? Thanks in advance.
 

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Did you check your units?
 
Yes i did...Is my way of doing correct?
 

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