Given a T-beam section with thickness of flange = 75 mm, width of web = 300 mm, effective depth = 600 mm, is reinforced at the tension side of 6-32 mm ø bars in two rows with a clearance of 30 mm. The beam carries a dead load of 15 kN/m including its weight in a simple span of 5 m. fe = 20.7 MPa %3D fy = 415 MPa a. Determine the depth of compression block. b. Determine the ultimate moment capacity of the beam. C. Determine the safe uniform live load capacity of the beam.

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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1. Given a T-beam section with thickness of flange = 75 mm, width of web = 300 mm, effective depth =
600 mm, is reinforced at the tension side of 6-32 mmø bars in two rows with a clearance of 30 mm.
The beam carries a dead load of 15 kN/m including its weight in a simple span of 5 m.
f = 20.7 MPa
13D
fy = 415 MPa
%3D
a. Determine the depth of compression block.
b. Determine the ultimate moment capacity of the beam.
C. Determine the safe uniform live load capacity of the beam.
2. Design a square column footing for a 400-mm square. tied interior column that supports a dead load
PD
= 890 kN and a live load P, = 710 kN. The column is reinforced with eight 25 mm bars, the base
of the footing is 1500 mm below grade, the soil weight is 1600 kg/m3, fy = 413.7 MPa, f:
20.7 MPa (p = 2400 kg/m³), and qa = 240 kPa.
%3D
%3D
%3D
%3D
3. Design a wall footing to support a 300-mm wide reinforced concrete wall with a dead loadD =
290 kN/m and a live load L = 220 kN/m. The bottom of the footing is to be 1200 mm below the final
grade. The soil weighs 1600 kg/m3 with an allowable soil pressure qa = 190 kPa. Use fy =
413.7 MPa and fé = 20.7 MPa, normal-weight concrete (p = 2400 kg/m³).
%3D
4. A footing will be supporting a 400 mm x 400 mm column that is carrying the following loads:
Pp = 800 kN, PL = 530 kN
13D
%3D
Mp
110 kN. m, M 80 kN,m
%3D
The width of the footing is limited to 3 m. The length and depth of the footing are to be determined.
The geotechnical report indicates that for shallow foundations, the allowable soil bearing pressure is
190 kPa. Design the footing assuming f = 27.6 MPa (normal-weight concrete) and f, = 413.7 MPa.
%3D
Transcribed Image Text:1. Given a T-beam section with thickness of flange = 75 mm, width of web = 300 mm, effective depth = 600 mm, is reinforced at the tension side of 6-32 mmø bars in two rows with a clearance of 30 mm. The beam carries a dead load of 15 kN/m including its weight in a simple span of 5 m. f = 20.7 MPa 13D fy = 415 MPa %3D a. Determine the depth of compression block. b. Determine the ultimate moment capacity of the beam. C. Determine the safe uniform live load capacity of the beam. 2. Design a square column footing for a 400-mm square. tied interior column that supports a dead load PD = 890 kN and a live load P, = 710 kN. The column is reinforced with eight 25 mm bars, the base of the footing is 1500 mm below grade, the soil weight is 1600 kg/m3, fy = 413.7 MPa, f: 20.7 MPa (p = 2400 kg/m³), and qa = 240 kPa. %3D %3D %3D %3D 3. Design a wall footing to support a 300-mm wide reinforced concrete wall with a dead loadD = 290 kN/m and a live load L = 220 kN/m. The bottom of the footing is to be 1200 mm below the final grade. The soil weighs 1600 kg/m3 with an allowable soil pressure qa = 190 kPa. Use fy = 413.7 MPa and fé = 20.7 MPa, normal-weight concrete (p = 2400 kg/m³). %3D 4. A footing will be supporting a 400 mm x 400 mm column that is carrying the following loads: Pp = 800 kN, PL = 530 kN 13D %3D Mp 110 kN. m, M 80 kN,m %3D The width of the footing is limited to 3 m. The length and depth of the footing are to be determined. The geotechnical report indicates that for shallow foundations, the allowable soil bearing pressure is 190 kPa. Design the footing assuming f = 27.6 MPa (normal-weight concrete) and f, = 413.7 MPa. %3D
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