Strength of materials
Undergraduate · Engineering
Syllabus focus
Standard syllabus · STEM / applied
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Topics typically covered
Standard syllabus
Axial and torsional loading
- Normal stress and strain under axial loading
- Stress-strain diagrams and elastic limit
- Poisson's ratio and generalized Hooke's law basics
- Thermal expansion and indeterminate axial members
- Shear stress and strain definitions
- Torsion of circular members: τ and θ relations
- Power and torque in rotating shafts
- Statically determinate versus indeterminate torsion
- Allowable stress and factor of safety in design
- Stress concentration at geometric discontinuities
Bending, shear, and combined loading
- Shear and moment diagrams for beams
- Flexure formula and neutral axis concept
- Beam deflection by integration and superposition
- Transverse shear stress in thin-walled beams
- Shear center for open sections (intro)
- Combined axial, bending, and torsion loading
- Principal stresses via transformation equations
- Mohr's circle for plane stress
- Thin-walled pressure vessel stresses
- Failure criteria for ductile materials
STEM / applied
Columns, energy methods, and design
- Euler buckling and effective length factors
- Intermediate column formulas (Johnson, secant)
- Strain energy and Castigliano's theorem (intro)
- Impact loading and dynamic amplification
- Fatigue strength and endurance limit modifications
- Selection of structural shapes from tables
- Welded and bolted connection design awareness
- Experimental strain measurement in lab
- FEA post-processing of stress results
- Design project: loaded bracket or shaft analysis
Industry practice
- Reading AISC steel manual excerpts for design
- ASME pressure vessel code awareness (intro)
- Quality control: hardness and NDT for welds
- Material test reports and cert traceability
- Failure investigation case studies
- Machine element integration with strength checks
- Software tools for section property lookup
- Sustainability: lightweighting trade-offs
- FE strength of materials exam drills
- Professional ethics in structural sign-off
Notes
Topics reflect common engineering syllabi at US colleges and universities. Exact order, depth, and applied emphasis vary by institution, department, and instructor.