Calculate the load$-$carrying capacity of a rectangular steel plate with dimensions $500$ mm x $300$ mm x $10$ mm under uniform loading conditions.

Determine the ultimate load capacity of a pile with a diameter of $0\mathrm{.}5$ meters and a length of $10$ meters, given soil parameters: c $=25$ kPa, $=30$ degrees, and $=18$ kN$/$m$^3.$

Compute the moment of inertia for a hollow circular shaft with an outer diameter of $200$ mm and an inner diameter of $100$ mm$.$

Find the hydraulic gradient required to maintain a flow rate of $0\mathrm{.}05$ m$^3/$s in a pipe with a diameter of $300$ mm and a Manning's coefficient of $0\mathrm{.}013.$

Calculate the volume of water stored in a trapezoidal channel with a bottom width of $3$ meters, top width of $7$ meters, and a depth of $2$ meters, with a length of $1$ km$.$

Determine the maximum shear force in a simply supported beam with a span of $10$ meters carrying a uniform distributed load of $15$ kN$/$m$.$

Compute the required thickness of an asphalt pavement layer for a road designed to carry $10,000$ standard axles, given the CBR value of the subgrade is $5\%.$

Find the deflection at the center of a cantilever beam with a length of $4$ meters, carrying a point load of $2$ kN at the free end, using E $=210$ GPa and I $=5000$ cm$^4.$

Calculate the design shear strength of a reinforced concrete section with a width of $300$ mm and a depth of $500$ mm$,$ using M$20$ grade concrete and Fe$415$ steel.

Determine the lateral earth pressure on a retaining wall $5$ meters high, with a backfill having a unit weight of $18$ kN$/$m$^3$ and an angle of internal friction of $30$ degrees.

Compute the water$-$cement ratio required for a concrete mix design, given the desired compressive strength of $30$ MPa and the cement content of $350$ kg$/$m$^3.$

Find the maximum tensile stress in a steel rod with a diameter of $20$ mm and a length of $3$ meters, subjected to an axial load of $50$ kN$.$

Calculate the quantity of bricks required for constructing a wall with dimensions $6$ meters x $3$ meters x $0\mathrm{.}3$ meters, assuming the size of each brick is $190$ mm x $90$ mm x $90$ mm$.$

Determine the flow velocity in an open channel with a rectangular cross$-$section, width of $4$ meters, depth of $1\mathrm{.}5$ meters, and a slope of $0\mathrm{.}002,$ using Manning$$s coefficient of $0\mathrm{.}017.$

Compute the required area of steel reinforcement for a concrete slab with a thickness of $200$ mm$,$ subjected to a design moment of $50$ kNm$/$m$,$ using Fe$500$ steel.

Find the maximum bending moment in a fixed$-$fixed beam with a span of $8$ meters, carrying a uniform distributed load of $10$ kN$/$m$.$

Calculate the total weight of a steel structure with a volume of $2$ cubic meters, given the density of steel is $7850$ kg$/$m$^3.$

Determine the safe bearing capacity of a rectangular footing with dimensions $2$ meters x $3$ meters, resting on a sandy soil with a unit weight of $19$ kN$/$m$^3$ and an angle of internal friction of $35$ degrees.

Compute the rate of flow through a circular orifice with a diameter of $50$ mm$,$ under a head of $1$ meter, given the discharge coefficient is $0\mathrm{.}62.$

Find the total volume of concrete required for a cylindrical water tank with a diameter of $5$ meters and a height of $4$ meters, including a base slab with a thickness of $200$ mm$.$ What is worm in syber security?