Civil Engineering
Practical calculation examples and applications for Strain and Hooke's Law.
Simple Stress and Strain
**Problem:** A steel rod with a cross-sectional area of 200 mm$^2$ and a length of 5 m is subjected to an axial tensile load of 50 kN. Determine the e...
Axial Deformation
**Problem:** A stepped steel bar ($E = 200$ GPa) consists of two segments. Segment AB has area $A_1 = 500$ mm$^2$ and length $L_1 = 1$ m. Segment BC h...
Strain and Hooke's Law
Torsion
**Problem:** A solid steel shaft with a diameter of 50 mm is subjected to a torque of 2 kN$\cdot$m. Determine the maximum shear stress in the shaft.
Shear and Moment in Beams
**Problem:** A simply supported beam of length $L = 6$ m carries a uniformly distributed load of $w = 20$ kN/m. Draw the Shear and Moment Diagrams and...
Stresses in Beams
**Problem:** A simply supported rectangular timber beam is 4 m long, 200 mm wide, and 300 mm deep. It carries a uniformly distributed load of 10 kN/m ...
Beam Deflections
**Problem:** A cantilever beam of length $L$ carries a concentrated load $P$ at the free end. Determine the maximum deflection and slope using Double ...
Combined Stresses
**Problem:** A concrete column of cross-section $300 \text{ mm} \times 500 \text{ mm}$ carries a compressive load of 600 kN applied with an eccentrici...
Thin-Walled Pressure Vessels
**Problem:** A cylindrical steel water tank has an internal diameter of 4 m and a wall thickness of 12 mm. If the tank is pressurized to 1.5 MPa, dete...
Buckling of Columns
**Problem:** A W200x46 steel column ($E = 200$ GPa) has a length of 6 m. It is pinned at both ends. Determine the critical buckling load.
Strain Energy and Impact Loading
**Problem:** A solid steel bar consists of two segments. The upper segment has a length of $2 \text{ m}$ and an area of $500 \text{ mm}^2$. The lower ...