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Calculate the maximum deflection at the free end of a cantilever beam of length 4 meters subjected to a uniformly distributed load of 1 0

Calculate the maximum deflection at the free end of a cantilever beam of length 4 meters subjected to a uniformly distributed load of 10 kN/m.
Design a reinforced concrete column to support a load of 1000 kN. Use concrete with compressive strength
=
30
f
c
=30 MPa and steel with yield strength
=
400
f
y
=400 MPa.
Determine the ultimate bearing capacity of a square footing with dimensions 3 meters by 3 meters, founded on a cohesive soil with undrained shear strength of 200 kPa.
Calculate the shear force and bending moment at a section 2 meters from the left support of a simply supported beam with a point load of 20 kN at the right end.
Determine the diameter of a circular pipe required to convey a flow rate of 0.5 m^3/s of water at a velocity of 2 m/s.
Perform a slope stability analysis using the Bishop's method for a soil slope with the following parameters: slope angle =30 degrees, cohesion =10 kPa, and unit weight of soil =18 kN/m^3.
Design a simply supported steel beam to support a uniform load of 50 kN/m over a span of 8 meters. Use steel with yield strength
=
250
f
y
=250 MPa.
Calculate the active earth pressure exerted on a vertical retaining wall with a smooth surface, assuming a soil unit weight of 18 kN/m^3 and a backfill angle of repose of 30 degrees.
Determine the ultimate bearing capacity of a single pile with a diameter of 0.5 meters founded in a sandy soil with a cohesion of 5 kPa and an effective unit weight of 16 kN/m^3.
Design a reinforced concrete slab of dimensions 6 meters by 6 meters to support a floor live load of 5 kN/m^2. Use concrete with compressive strength
=
25
f
c
=25 MPa and yield strength of steel
=
400
f
y
=400 MPa.
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