4. Structures and Materials

Connections And Details — Quiz

Test your understanding of connections and details with 5 practice questions.

Practice Questions

Question 1

For a stress element with $σ_x=120\,\mathrm{MPa}$, $σ_y=30\,\mathrm{MPa}$, and $τ_{xy}=40\,\mathrm{MPa}$, what is the maximum principal stress $σ_1$? Show your calculation.

Question 2

When a steel rod with coefficient of thermal expansion $α=12\times10^{-6}\,/\!\,^{\circ}\mathrm{C}$ and Young’s modulus $E=200\,\mathrm{GPa}$ is constrained at both ends and heated by $ΔT=50\,^{\circ}\mathrm{C}$, what thermal stress $σ_{th}$ is induced? Show your calculation.

Question 3

For a circular shaft of shear modulus $G$, polar moment of inertia $J$, and length $L$, which expression defines its torsional stiffness $K_t$?

Question 4

In a thin‐walled cylindrical fuselage under internal pressure, if hoop stress is $σ_h=pr/t$ and longitudinal stress is $σ_l=pr/(2t)$, what is the ratio $σ_h:σ_l$?

Question 5

In shear flow $q=VQ/I$ for a beam, what does $Q$ represent?