A 2.5m x 2.5m square footing supports a 250mm x 400mm column. Given data: Thickness of footing -0.70m Total factored axial load -1,818 kN Materials: Concrete.fc - 20.7 MPa Steel bars, fy - 280 MPa (20mm diameter both ways) Clear bar covering - 75 mm Strength reduction factors -0.75 for shear -0.90 for bending a. Calculate the actual nominal shear stress in the footing (MPa) at the critical section for beam shear action. b. Calculate the actual ultimate shear stress in the footing (MPa) at the critical section for beam shear action. c. Calculate the actual nominal shear stress in the footing (MPa) at the critical section for punch shear action. d. Calculate the actual nominal shear stress in the footing (MPa) at the critical section for punch shear action. e. Calculate the required number of 20mm bars

Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN:9781305970939
Author:Braja M. Das, Khaled Sobhan
Publisher:Braja M. Das, Khaled Sobhan
Chapter16: Soil Bearing Capacity For Shallow Foundations
Section: Chapter Questions
Problem 16.6P: Redo Problem 16.2 using the modified general ultimate bearing capacity Eq. (16.31). 16.1 A...
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A 2.5m x 2.5m square footing supports a 250mm x 400mm column.
Given data: Thickness of footing
= 0.70m
Total factored axial load
= 1,818 KN
Materials: Concrete, f'c
= 20.7 MPa
Steel bars, fy
= 280 MPa (20mm diameter both ways)
Clear bar covering
= 75 mm
Strength reduction factors
= 0.75 for shear
= 0.90 for bending
a. Calculate the actual nominal shear stress in the footing (MPa) at the critical section for beam shear action.
b. Calculate the actual ultimate shear stress in the footing (MPa) at the critical section for beam shear action.
c. Calculate the actual nominal shear stress in the footing (MPa) at the critical section for punch shear action.
d. Calculate the actual nominal shear stress in the footing (MPa) at the critical section for punch shear action.
e. Calculate the required number of 20mm bars
Transcribed Image Text:A 2.5m x 2.5m square footing supports a 250mm x 400mm column. Given data: Thickness of footing = 0.70m Total factored axial load = 1,818 KN Materials: Concrete, f'c = 20.7 MPa Steel bars, fy = 280 MPa (20mm diameter both ways) Clear bar covering = 75 mm Strength reduction factors = 0.75 for shear = 0.90 for bending a. Calculate the actual nominal shear stress in the footing (MPa) at the critical section for beam shear action. b. Calculate the actual ultimate shear stress in the footing (MPa) at the critical section for beam shear action. c. Calculate the actual nominal shear stress in the footing (MPa) at the critical section for punch shear action. d. Calculate the actual nominal shear stress in the footing (MPa) at the critical section for punch shear action. e. Calculate the required number of 20mm bars
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A 2.5m x 2.5m square footing supports a 250mm x 400mm column.
Given data: Thickness of footing
= 0.70m
Total factored axial load
= 1,818 KN
Materials: Concrete, f'c
= 20.7 MPa
Steel bars, fy
= 280 MPa (20mm diameter both ways)
Clear bar covering
= 75 mm
Strength reduction factors
= 0.75 for shear
= 0.90 for bending
a. Calculate the actual nominal shear stress in the footing (MPa) at the critical section for beam shear action.
b. Calculate the actual ultimate shear stress in the footing (MPa) at the critical section for beam shear action.
c. Calculate the actual nominal shear stress in the footing (MPa) at the critical section for punch shear action.
d. Calculate the actual nominal shear stress in the footing (MPa) at the critical section for punch shear action.
e. Calculate the required number of 20mm bars
Transcribed Image Text:A 2.5m x 2.5m square footing supports a 250mm x 400mm column. Given data: Thickness of footing = 0.70m Total factored axial load = 1,818 KN Materials: Concrete, f'c = 20.7 MPa Steel bars, fy = 280 MPa (20mm diameter both ways) Clear bar covering = 75 mm Strength reduction factors = 0.75 for shear = 0.90 for bending a. Calculate the actual nominal shear stress in the footing (MPa) at the critical section for beam shear action. b. Calculate the actual ultimate shear stress in the footing (MPa) at the critical section for beam shear action. c. Calculate the actual nominal shear stress in the footing (MPa) at the critical section for punch shear action. d. Calculate the actual nominal shear stress in the footing (MPa) at the critical section for punch shear action. e. Calculate the required number of 20mm bars
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