Podcast
Questions and Answers
What is the value of the total shear friction steel (Avf)?
What is the value of the total shear friction steel (Avf)?
- 644 mm²
- 1116 mm² (correct)
- 1055 mm²
- 626 mm²
How is the nominal tensile strength area (An) determined?
How is the nominal tensile strength area (An) determined?
- By calculating $\dfrac{N_{uc}}{∅f_y}$ (correct)
- By using the formula for steel area at a certain depth
- Using shear strength equations
- By taking the average of two areas
What is the value of the bending moment (Mu) calculated in the given content?
What is the value of the bending moment (Mu) calculated in the given content?
- 625 KN.m
- 71 KN.m (correct)
- 98 KN.m
- 492 KN.m
When determining the shear area (Asc), what is the minimum requirement?
When determining the shear area (Asc), what is the minimum requirement?
What is the final area of the top bracket rebar (Asc) after checking requirements?
What is the final area of the top bracket rebar (Asc) after checking requirements?
What is the primary purpose of brackets in structural engineering?
What is the primary purpose of brackets in structural engineering?
Which type of failure is characterized by poor detailing of the embedded length?
Which type of failure is characterized by poor detailing of the embedded length?
What governs the design of brackets and corbels according to their behavior?
What governs the design of brackets and corbels according to their behavior?
What is a Strut-and-tie model (STM) used for in the context of brackets and corbels?
What is a Strut-and-tie model (STM) used for in the context of brackets and corbels?
What issue may arise from having a small thickness of a corbel?
What issue may arise from having a small thickness of a corbel?
In the design of brackets, what role do the top bars at the column face play?
In the design of brackets, what role do the top bars at the column face play?
What must be carefully considered to avoid shear failure in brackets?
What must be carefully considered to avoid shear failure in brackets?
Why is horizontal tension reinforcement necessary in brackets and corbels?
Why is horizontal tension reinforcement necessary in brackets and corbels?
What is the maximum allowed span ratio for using the flexural model in bracket design?
What is the maximum allowed span ratio for using the flexural model in bracket design?
Which equation represents the nominal shear strength for normal weight concrete?
Which equation represents the nominal shear strength for normal weight concrete?
Under what condition must a horizontal tensile force be assumed in bracket design?
Under what condition must a horizontal tensile force be assumed in bracket design?
What is the appropriate equation to calculate the area of steel required to resist moment Mu?
What is the appropriate equation to calculate the area of steel required to resist moment Mu?
Which of the following is NOT a condition for determining the total area required for flexure and direct tension at the top of the bracket?
Which of the following is NOT a condition for determining the total area required for flexure and direct tension at the top of the bracket?
What is the minimum area of closed hoop stirrups required in relation to the area of the tensile reinforcement?
What is the minimum area of closed hoop stirrups required in relation to the area of the tensile reinforcement?
What is the recommended friction factor (μ) for normal weight concrete?
What is the recommended friction factor (μ) for normal weight concrete?
Which material strengths are cited for the example in designing the bracket?
Which material strengths are cited for the example in designing the bracket?
Flashcards
Brackets and Corbels
Brackets and Corbels
Short cantilevers projecting from columns or walls to support loads, behaving differently from conventional beams due to their short span, high forces, and deep section.
Bracket
Bracket
A short cantilever supporting concentrated loads, often projecting from columns or walls.
Corbel
Corbel
A short cantilever projecting from a column or wall, typically deeper than a bracket, transferring loads from horizontal members to vertical members.
Shear-controlled Design
Shear-controlled Design
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Strut-and-Tie Model (STM)
Strut-and-Tie Model (STM)
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Horizontal Tension Reinforcement
Horizontal Tension Reinforcement
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Flexural Failure
Flexural Failure
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Diagonal Splitting
Diagonal Splitting
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Shear Failure
Shear Failure
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ACI 318 Code
ACI 318 Code
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Shear force (Vu)
Shear force (Vu)
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Normal shear strength (Vn)
Normal shear strength (Vn)
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Ultimate Bracket Load (Vu)
Ultimate Bracket Load (Vu)
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Steel Area (A vf)
Steel Area (A vf)
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Nominal Tensile Strength (An)
Nominal Tensile Strength (An)
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Total Steel Area (Asc)
Total Steel Area (Asc)
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Minimum Reinforcement Area (Asc_min)
Minimum Reinforcement Area (Asc_min)
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Bending Moment (Mu)
Bending Moment (Mu)
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Flexural Compression Stress Block Depth (ca)
Flexural Compression Stress Block Depth (ca)
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Additional Steel Area (Ap)
Additional Steel Area (Ap)
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Stirrup Area (Ah)
Stirrup Area (Ah)
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Bracket Design variables
Bracket Design variables
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Reinforcement Selection
Reinforcement Selection
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Span Ratio (av/d ≤ 1)
Span Ratio (av/d ≤ 1)
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Span Ratio (a/d ≤ 2)
Span Ratio (a/d ≤ 2)
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Bearing Depth (t ≥ 0.5d)
Bearing Depth (t ≥ 0.5d)
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Strength Check (Mu ≤ ØMn and Vu ≤ ØVn)
Strength Check (Mu ≤ ØMn and Vu ≤ ØVn)
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Horizontal Tensile Force (Nue ≥ 0.2 Vu)
Horizontal Tensile Force (Nue ≥ 0.2 Vu)
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Shear Capacity (Vn)
Shear Capacity (Vn)
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Steel Area for Moment Resistance (Af)
Steel Area for Moment Resistance (Af)
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Nominal Tensile Steel Area (An)
Nominal Tensile Steel Area (An)
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Total Steel Area for Flexure and Tension (Asc)
Total Steel Area for Flexure and Tension (Asc)
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Hoop Stirrup Area (Ah)
Hoop Stirrup Area (Ah)
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Shear-Friction Reinforcement (Avf)
Shear-Friction Reinforcement (Avf)
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Additional Steel Area (Asc ≥ 0.04(fc/fy)bd)
Additional Steel Area (Asc ≥ 0.04(fc/fy)bd)
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Study Notes
Introduction
- Brackets and corbels are short cantilever beams
- They project from columns or walls
- Support loads like beams or slabs
- Structural behavior differs from conventional beams
- Short span, large applied forces (high shear stresses)
- Deep section relative to their length
- ACI 318 code provides design guidelines
Brackets
- Short cantilevers used to support concentrated loads
- Usually project from columns or walls
Corbels
- Short cantilevers extending from columns or walls
- Typically deeper in section
- Transfer loads from horizontal members (beams) to vertical members (columns)
Failure Modes
- Causes of failure include:
- Small amount of main steel
- Low compressive strength with high main steel
- Small amount of reinforcement crossing the strut
- Small amount of stirrups
- Loss of anchorage
- Lack in the detailing of embedded length
- Small thickness of corbel
- High value of horizontal load
- Lack in the seat plate detailing
Behavior of Brackets and Corbels
- Experience high shear forces and moments
- Shear-controlled design (shear force often governs the design)
- Strut-and-tie models (STM) used for analysis and design to capture load transfer mechanisms
- Horizontal tension reinforcement needed to resist horizontal forces
- Provide additional capacity for crack control
Design Considerations
- Bracket considered as a short cantilever with flexural tension at column face
- Strut and tie model for performance analysis
- Span ratio (av/d) ≤ 1 and (a/d) ≤ 2 determine design method (flexural/strut and tie)
- Depth at the outside edge of bearing area (t ≥ 0.5d)
- Mu ≤ ØMn and Vu ≤ ØVn with Ø=0.75
- Horizontal tensile force must be considered without roller/low-friction support pad
- Find d according to specified formulas
Additional Calculations
- Calculations involve finding the amount of steel (A) required to resist moment (Mu), area of steel (An) for nominal tensile strength and shear-friction reinforcement (Av)
- Total area required for flexure and direct tension
- Closed hoop stirrups (Ah) area should be greater than 0.5(Asc - An), 0.5 Af, and Avf / 3
- Example calculations for column bracket with end reaction and vertical load specifications for specific material strengths.
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