Glass, Plastics, and Non-ferrous Metals — Worked Examples

These examples emphasize system behavior at interfaces. Glass strength is flaw-sensitive, polymers are time- and temperature-dependent, and aluminum/polymer/glass combinations require movement, compatibility, durability, and installation controls.

Example 1 — Differential thermal movement of aluminum and glass

A 2.00 m2.00\text{ m} aluminum frame and adjacent glass edge experience a 30.0∘C30.0^\circ\text{C} temperature rise. Use αAl=23×10−6/∘C\alpha_{Al}=23\times10^{-6}/^\circ\text{C} and αg=9×10−6/∘C\alpha_g=9\times10^{-6}/^\circ\text{C}. Determine free differential movement.

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Example 2 — Select glazing type from failure behavior

A low-level door sidelight is vulnerable to human impact. The architect proposes ordinary annealed glass because its nominal thickness matches nearby windows. Determine the materials-safety review.

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Example 3 — Do not use a single glass tensile strength as a deterministic limit

Two nominally identical annealed glass coupons fail at noticeably different tensile stresses. Explain why this does not necessarily indicate a manufacturing error.

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Example 4 — Polymer creep under sustained load

A polymer component has an initial elastic deformation of 8.0 mm8.0\text{ mm}. Under the product's stated service condition, a validated creep factor for the design period is 1.5, meaning additional creep deformation equals 1.5 times the initial elastic deformation. Determine total deformation for this simplified model.

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Example 5 — HDPE pipe thermal movement

A straight 24.0 m24.0\text{ m} HDPE pipe experiences a 25.0∘C25.0^\circ\text{C} temperature rise. For this simplified example use α=1.3×10−4/∘C\alpha=1.3\times10^{-4}/^\circ\text{C}. Determine free thermal expansion.

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Example 6 — Sealant movement capability mismatch

A facade joint is 20 mm20\text{ mm} wide at installation and is expected to cycle between 16 mm and 24 mm. Determine the movement relative to the installation width and what should be checked before selecting sealant.

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Example 7 — Galvanic compatibility of aluminum framing

An aluminum curtain-wall bracket is proposed in direct wet contact with an uncoated carbon-steel support near the coast. Determine the interface-control strategy.

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Example 8 — Insulating-glass unit edge failure investigation

A double-glazed insulating-glass unit develops fogging between panes several years after installation. Determine the material-system failure mechanism to investigate first.

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