Lesson 36 of 78 · Beams, Deflection & Failure
Failure, Fatigue & the Structural Design Review
Machines rarely fail as a uniform coupon under one perfect pull. They loosen, wear, buckle, crack at a shoulder, slip at a joint, overload during a jam, corrode, overheat, or drift out of alignment. MIT’s materials curriculum distinguishes elastic response, plastic flow, creep, fracture, and fatigue because each has different evidence and countermeasures 1.
Screen the limit states
- Yield: permanent deformation under peak combined stress.
- Buckling: instability of a slender compression member, often before material yield.
- Fatigue: crack initiation and growth under fluctuating stress.
- Fracture: unstable crack growth when toughness is insufficient for stress and flaw size.
- Creep: time-dependent deformation at relevant temperature and stress.
- Wear and fretting: surface loss or damage from contact and small oscillatory motion.
- Joint failure: slip, separation, embedment, bolt fatigue, weld cracking, or thread stripping.
- Functional failure: excessive deflection, vibration, backlash, or alignment loss.
Fatigue as an alternating-load problem
For a stress cycle with maximum \(\sigma_{max}\) and minimum \(\sigma_{min}\), define
Both alternating and mean stress matter. Surface finish, size, environment, notches, residual stress, and reliability change fatigue performance. A motor mount seeing 20 to 80 MPa has \(\sigma_a=30\) MPa and \(\sigma_m=50\) MPa. Calling it “an 80 MPa load” loses the cycle information.
Fault loads deserve their own cases
Normal operation may not govern. Include hard stop, e-stop deceleration, dropped payload, jammed conveyor, seized bearing, pressure spike, off-center part, maintenance leverage, and transport. Define whether each is expected repeatedly, rare but survivable, or allowed to cause controlled sacrificial damage.
A compact structural review package
- Annotated assembly and load path.
- Load-case table with sources and combinations.
- FBDs and reaction calculations.
- Internal-force, stress, deflection, and stability checks.
- Connection and fatigue screens.
- Assumptions and uncertainty register.
- Verification plan: inspection, proof load, strain measurement, deflection test, or teardown.
Safe verification
Use barriers, remote loading, controlled energy, and competent supervision for structural tests. Do not place a person on or near an unproven load-bearing mechanism. Increase load in bounded steps, inspect between steps, define stop criteria in advance, and treat unexpected noise, slip, or permanent set as data—not a dare to continue.
Course project
Complete the review package for a small machine frame or robot pedestal. Your conclusion must name the governing limit state, margin, and verification evidence still missing. Engineering confidence is calibrated: “calculation suggests” and “test demonstrates” are different claims.
Source trail
References
- 1Mechanical Behavior of Materials. MIT OpenCourseWare. verifiedUndergraduate treatment of elastic and plastic deformation, creep, fracture, and the processing-structure-property relationship. Cited at: mechanical response.
Further reading
- Mechanics of Materials. MIT OpenCourseWare. verifiedOpen modules on stress, strain, trusses, torsion, bending, deflection, yielding, fracture, fatigue, and material properties.
- Elements of Mechanical Design. MIT OpenCourseWare. verifiedModeling, design, integration, fabrication, and characterization of bearings, springs, gears, cams, mechanisms, shafts, drives, and connections.
Check your understanding
- Why can a part fail below its monotonic yield strength?
- Repeated stress can initiate and grow fatigue cracks
- Yield strength is measured in seconds
- Static loads have no force
- All cracks are harmless
Cyclic loading can initiate and propagate cracks at stress levels below one-time yield.
- Which review question is most useful?
- Is the CAD attractive
- What are the credible load cases limit states and evidence for each
- Is the material fashionable
- Can every dimension be the same
A structural review should connect loads to failure modes, margins, uncertainty, and verification evidence.