Shear Analysis and Design of Beams Problem I Determine the adequacy of the provided spacing of stirrups in the three regions of the 6.0-m span simple beam with a service uniform dead load of 50 kN/m (self-weight included) and a service uniform live load of 20 kN/m. Use the simple formula for concrete shear strength. Draw a diagram of the required shear force versus the design shear strengths. Provide a result summary. Stirrup Spacing: Region 1: from support to 1.0m distance, s₁ = 100 mm Region 2: from 1.0m to 2.0m distance, 8 = 150 mm Region 3: from 2.0m to midspan, 83 = 200 mm fc'=27.6 MPa fy=415 MPa fyt = 275 MPa b=300 mm d₁ = 25 mm d. = 10 mm d = 500 mm λ=0.85 h = 600 mm Problem II Design economically the stirrups of the beam in Problem I, considering the following spacing: 100 mm, 150 mm, and 200 mm, including the maximum spacing. Draw the diagram of the required shear force versus the design shear strengths and the in-scale layout of the stirrups in the beam.

Structural Analysis
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Chapter2: Loads On Structures
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Shear Analysis and Design of Beams
Problem I
Determine the adequacy of the provided spacing of stirrups in the three regions of the 6.0-m span simple beam with a
service uniform dead load of 50 kN/m (self-weight included) and a service uniform live load of 20 kN/m. Use the simple
formula for concrete shear strength. Draw a diagram of the required shear force versus the design shear strengths.
Provide a result summary.
Stirrup Spacing:
Region 1: from support to 1.0m distance, s₁ = 100 mm
Region 2: from 1.0m to 2.0m distance, 8 = 150 mm
Region 3: from 2.0m to midspan, 83 = 200 mm
fc'=27.6 MPa
fy=415 MPa
fyt = 275 MPa
b=300 mm
d₁ = 25 mm
d. = 10 mm
d = 500 mm
λ=0.85
h = 600 mm
Problem II
Design economically the stirrups of the beam in Problem I, considering the following spacing: 100 mm, 150 mm, and
200 mm, including the maximum spacing. Draw the diagram of the required shear force versus the design shear
strengths and the in-scale layout of the stirrups in the beam.
Transcribed Image Text:Shear Analysis and Design of Beams Problem I Determine the adequacy of the provided spacing of stirrups in the three regions of the 6.0-m span simple beam with a service uniform dead load of 50 kN/m (self-weight included) and a service uniform live load of 20 kN/m. Use the simple formula for concrete shear strength. Draw a diagram of the required shear force versus the design shear strengths. Provide a result summary. Stirrup Spacing: Region 1: from support to 1.0m distance, s₁ = 100 mm Region 2: from 1.0m to 2.0m distance, 8 = 150 mm Region 3: from 2.0m to midspan, 83 = 200 mm fc'=27.6 MPa fy=415 MPa fyt = 275 MPa b=300 mm d₁ = 25 mm d. = 10 mm d = 500 mm λ=0.85 h = 600 mm Problem II Design economically the stirrups of the beam in Problem I, considering the following spacing: 100 mm, 150 mm, and 200 mm, including the maximum spacing. Draw the diagram of the required shear force versus the design shear strengths and the in-scale layout of the stirrups in the beam.
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