Calculate the deflection of a simply supported beam with a span of $8$ meters under a uniform load of $5$ kN$/$m$.$

Determine the factor of safety for a slope with an angle of $30$ degrees, cohesion of $10$ kPa, and an angle of internal friction of $25$ degrees.

Compute the quantity of concrete required for a rectangular footing with dimensions $3$m x $4$m x $0\mathrm{.}5$m$.$

Find the design moment for a reinforced concrete beam section with a width of $300$ mm and an effective depth of $500$ mm$,$ using M$25$ grade concrete and Fe$500$ steel.

Calculate the settlement of a clay layer $5$ meters thick under a load of $200$ kPa, given the compression index is $0\mathrm{.}4$ and the initial void ratio is $1\mathrm{.}2.$

Determine the shear force and bending moment at the midpoint of a cantilever beam with a span of $6$ meters carrying a point load of $10$ kN at the free end.

Calculate the quantity of steel required for a column with a cross$-$sectional area of $400$ mm x $400$ mm and a height of $3$ meters, using Fe$500$ steel.

Find the critical buckling load for a column with an effective length of $4$ meters and a rectangular cross$-$section of $100$ mm x $200$ mm$,$ using E $=200$ GPa.

Compute the bearing capacity of a strip footing on a sandy soil with a width of $2$ meters, depth of $1$ meter, and soil parameters c $=0,$ $=30$ degrees, and $=18$ kN$/$m$^3.$

Determine the maximum shear stress in a solid circular shaft with a diameter of $100$ mm subjected to a torque of $5$ kNm$.$

Calculate the total volume of earthwork required for a road embankment with a length of $500$ meters, top width of $6$ meters, bottom width of $12$ meters, and height of $2$ meters.

Find the design discharge for a rectangular channel with a width of $3$ meters, depth of $2$ meters, and Manning$$s coefficient of $0\mathrm{.}015,$ with a slope of $0\mathrm{.}001.$

Determine the required thickness of a retaining wall base if it has to support a horizontal earth pressure of $50$ kPa, given the concrete has a permissible stress of $5$ MPa.

Calculate the rate of settlement for a consolidation test where a clay sample with a height of $20$ mm settles by $2$ mm in $10$ days under a load increment of $100$ kPa.

Find the bending stress in a simply supported beam with a span of $5$ meters and a point load of $20$ kN at the center, given the beam has a rectangular cross$-$section of $200$ mm x $300$ mm$.$

Determine the total horizontal force on a $4-$meter high retaining wall due to a saturated backfill with a unit weight of $20$ kN$/$m$^3$ and an angle of internal friction of $35$ degrees.

Compute the amount of water required to saturate a soil sample with a volume of $0\mathrm{.}1$ cubic meters and a porosity of $35\%.$

Calculate the maximum load that can be applied to a steel bar with a length of $2$ meters and a cross$-$sectional area of $50$ mm$^2,$ given the yield strength is $250$ MPa.

Find the uplift force on a circular footing with a diameter of $1\mathrm{.}5$ meters in a groundwater table with a unit weight of water $9\mathrm{.}81$ kN$/$m$^3.$

Determine the natural frequency of a simply supported beam with a span of $6$ meters, mass per unit length of $50$ kg$/$m$,$ and a flexural rigidity of $500$ kNm$.$ What is reinforced learning?