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Chapter 10

Reinforcement Detailing

4 Hours 10 Question Entries

10.1 Requirements for Good Detailing 20792075

PAST EXAM QUESTIONS:

  1. Discuss the requirements for good detailing. Also describe the bar bending schedule. [3+3] (2079 Bhadra, Q4a) → also 10.7
  2. Explain, with the help of sketches, the ductile detailing of RC beams. [6] (2075 Chaitra, Q5b)

Q1. Discuss the requirements for good detailing. Also describe the bar bending schedule. [3+3] (2079 Bhadra, Q4a)

Detailing turns the design into buildable bar arrangements. Good detailing:

  • provides the correct cover (durability/fire) and adequate bar spacing for concrete to flow and bond;
  • gives full anchorage / development length and correct lap positions (away from high-stress zones);
  • follows the bending-moment envelope — bars where tension occurs (bottom at mid-span, top over supports), with proper curtailment;
  • avoids congestion so concrete can be compacted, yet ties the cage together;
  • ensures ductility (continuous bars, closed stirrups, hooks) — essential for seismic zones.

RC beam detailing: locate bottom bars for sagging moment, top bars for hogging moment and the necessary hanger/continuity bars. Specify the bar layers, stirrup diameter, number of legs, spacing zones, end anchorage and any curtailment. For ductile seismic beams, the additional continuity and hoop rules in Chapter 11 apply; bent-up bars do not replace seismic hoops.

A good drawing must agree with the calculation: changing from one bar layer to two changes d; changing diameter changes anchorage and bar fit; adding laps can double the local congestion. Dimension cover to the correct steel surface and state whether a length is measured to a bar centreline, inside face or outside face. Use consistent bar marks so the plan, sections and BBS describe the same cage.

A bar bending schedule (BBS) is a tabular list of every bar in a member giving its bar mark, diameter, shape (with bending dimensions), cutting length, number of bars and total weight. It lets the steel be cut and bent accurately off-site, controls wastage, and lets the quantity of steel be estimated and ordered.

  1. Identify each distinct bar shape, diameter, grade and location and assign a unique bar mark.
  2. Take dimensions from the coordinated reinforcement drawing, including actual end anchorage, laps and approved bend radii.
  3. Calculate the bar-centreline length. For a bend, arc length = θ(Rinside + φ/2), with θ in radians; add the straight tangent lengths and hook tails.
  4. Count bars from the specified maximum spacing and actual first/last bar positions, including the required bars at both ends of a distribution zone.
  5. Calculate total length and nominal mass, then summarize by diameter. Keep procurement/wastage allowances separate from the geometric net quantity.

A 45° crank adds (cosec45° − cot45°)h = 0.4142h relative to its horizontal projection, where h is the vertical rise between bar centrelines, not the overall beam depth. Bend deductions depend on the dimensioning convention and bend radius. There is no universal rule that every 90° bend simply adds 2φ to any set of outside dimensions.

Q2. Explain, with the help of sketches, the ductile detailing of RC beams. [6] (2075 Chaitra, Q5b)

  • Provide at least two continuous longitudinal bars at both top and bottom, with the prescribed minimum diameter. In the usual beam formulation, ρmin = 0.24√fck/fy, where ρ is an area ratio; the maximum on a face is 0.025, or 2.5%. Do not compare the decimal ratio directly with a numerical percentage.
  • Bottom (positive) steel at a joint face ≥ ½ the top steel there; steel at any section ≥ ¼ the maximum.
  • Closed hoops (stirrups) over a length 2d at each end at a spacing ≤ the least of d4, 8φmin, 100 mm; first hoop within 50 mm of the face.
  • Provide close hoops around other potential yielding regions as required; outside the special end regions apply the remaining seismic spacing limits, not automatically the ordinary 300 mm limit.
  • Check capacity-based shear for both directions of moment reversal and provide the required transverse reinforcement without relying on bent-up bars as its substitute.
  • Avoid beam lap splices within joints and critical end/yielding regions. Stagger permitted laps and provide the specified transverse confinement over them.

Example: for b = 250 mm, d = 450 mm, M25 and Fe415, ρmin = 0.0028916, giving As,min = 325.30 mm² on the relevant face. Two 16 mm bars provide 402.12 mm², but the flexural demand can require more. With the smallest longitudinal bar 16 mm, the close-hoop spacing bound is min(112.5, 128, 100) = 100 mm over 2d = 900 mm from the joint face. Put the first hoop within 50 mm. This is a detailing example, not a flexural or shear capacity check for a loaded beam.

The joint transfers forces between intersecting members while also carrying column axial force. Under reversed lateral loading, beam bar forces can reverse sign and create large joint shear. Interior, exterior and corner joints have different restraint and anchorage conditions; a detail suitable for an interior joint cannot simply be copied to an exterior one.

  1. Establish joint shear from the equilibrating beam and column forces at the relevant capacities and load combination.
  2. Check the effective joint area and permitted shear resistance for its confinement category.
  3. Continue column confinement through the joint as required. Do not omit joint hoops merely because beam bars make installation inconvenient.
  4. Ensure sufficient column/joint dimensions and anchorage for the beam bars, especially at an exterior joint where they terminate.
  5. Avoid laps and uncontrolled bar terminations inside the joint. Coordinate the cage so concrete can be placed and compacted through the intersection.
Continuous beam bars Column longitudinal bars Column end confinement Close hoops over 2d Close hoops over 2d Column hoops continue through the joint core
Beam-column joint: closely-spaced confining hoops in the column end zones and through the joint, continuous top and bottom beam bars anchored into the joint.

Why detailing is critical at joints: the joint transfers large reversing forces between beams and columns; without confinement the concrete core crushes and bars slip, causing brittle failure. Confining hoops keep the core intact so plastic hinges form in the beams (strong-column–weak-beam), giving a ductile, energy-dissipating, collapse-resistant frame.

Detailing turns the design into buildable bar arrangements. Good detailing:

RC beam detailing: locate bottom bars for sagging moment, top bars for hogging moment and the necessary hanger/continuity bars. Specify the bar layers, stirrup diameter, number of legs, spacing zones, end anchorage and any curtailment. For ductile seismic beams, the additional continuity and hoop rules in Chapter 11 apply; bent-up bars do not replace seismic hoops.

A good drawing must agree with the calculation: changing from one bar layer to two changes d; changing diameter changes anchorage and bar fit; adding laps can double the local congestion. Dimension cover to the correct steel surface and state whether a length is measured to a bar centreline, inside face or outside face. Use consistent bar marks so the plan, sections and BBS describe the same cage.

10.2 Nominal Cover

Nominal cover is the specified distance from the concrete surface to the nearest reinforcement surface, including links or ties. It protects steel against corrosion and fire and provides room for bond to develop. Effective cover is the distance to the centroid of the reinforcement used in the flexural calculation; the two are not interchangeable.

For one beam layer: effective cover = nominal cover + link diameter + main-bar diameter/2
d = D − effective cover

IS 456 exposure classificationNominal cover for durability
Mild20 mm
Moderate30 mm
Severe45 mm
Very severe50 mm
Extreme75 mm

These are the basic exposure-cover values, subject to the code's member-specific requirements, qualifications and fire provisions. Use the governing requirement, not automatically the smallest number in this table. For the column sizes in these notes, ordinary nominal cover is at least 40 mm subject to bar-diameter requirements; ordinary footing cover is at least 50 mm, with the actual casting condition and exposure also considered.

Example: D = 500 mm, nominal cover 25 mm, 8 mm links and 20 mm main bars give effective cover 43 mm and d = 457 mm. Subtracting only 25 mm would overestimate effective depth by 18 mm. For two layers, calculate the centroid using ΣAiyi/ΣAi.

Clear Spacing and Constructability

Horizontal clear spacing must satisfy the bar-diameter and aggregate-size rules so concrete can flow between bars. For bars in separate horizontal layers, provide the required vertical clearance and normally align bars vertically to leave placement channels. Do not use centre-to-centre spacing where a rule specifies clear spacing. Cover blocks, chairs and spacers must maintain these dimensions during concreting.

10.3 Curtailment of Flexural Reinforcement 2069

PAST EXAM QUESTIONS:

  1. What do you understand by curtailment of tension steel in simple beams? Show by illustrating a neat sketch. [8] (2067 Ashadh, Q4b)

Q1. What do you understand by curtailment of tension steel in simple beams? Show by illustrating a neat sketch. [8] (2067 Ashadh, Q4b)

Curtailment means stopping bars where they are no longer needed — the bending moment falls away from mid-span, so fewer bars are required near the supports, saving steel. Rules (IS 456):

  • Extend each bar beyond its theoretical cut-off point by the greater of the effective depth d or 12φ, to allow for the shift in the tension diagram due to shear.
  • Check the additional shear and continuing-reinforcement conditions for terminating bars in a tension zone; extending a bar by d or 12φ alone is not the complete rule.
  • At least one-third of the maximum positive-moment reinforcement area in a simple member and one-fourth in a continuous member must extend along the same face into the support with the required anchorage. With mixed diameters, count area, not merely the number of bars.
  1. Draw the design moment envelope for all relevant loading patterns and identify which face is in tension.
  2. Find the moment resistance of the bars that will remain after the proposed cut-off. Locate the theoretical point at which those continuing bars can resist the demand.
  3. Extend the bars being terminated beyond that point by the required distance. Toward a simple support, this moves their physical end closer to the support.
  4. Check shear resistance, anchorage and the code's tension-zone termination conditions at the physical cut-off. Curtailment reduces the longitudinal steel percentage used in concrete shear resistance.
  5. Stagger cut-offs and preserve the minimum continuous reinforcement. Keep earthquake plastic-hinge regions free of inappropriate terminations.
  6. Show the theoretical point, physical bar end, extension length and continuing bars in a longitudinal reinforcement drawing.

Example of the extension calculation: with d = 450 mm and a 20 mm bar, max(d, 12φ) = max(450, 240) = 450 mm. This is the extension beyond the theoretical point, not the development length of the bar and not permission to cut it off without a shear check.

Additional midspan tension bars Extension beyond cutoff Extension beyond cutoff Lower continuous bars extend into the supports with required anchorage.
The theoretical cutoffs are the inner dashed lines; the physical ends of the additional bars extend toward the supports. Check max(d, 12φ), anchorage and the tension-zone shear conditions.

Curtailment means stopping bars where they are no longer needed — the bending moment falls away from mid-span, so fewer bars are required near the supports, saving steel. Rules (IS 456):

Practical Curtailment Procedure

  1. Draw the design moment envelope for all relevant loading patterns and identify which face is in tension.
  2. Find the moment resistance of the bars that will remain after the proposed cut-off. Locate the theoretical point at which those continuing bars can resist the demand.
  3. Extend the bars being terminated beyond that point by the required distance. Toward a simple support, this moves their physical end closer to the support.
  4. Check shear resistance, anchorage and the code's tension-zone termination conditions at the physical cut-off. Curtailment reduces the longitudinal steel percentage used in concrete shear resistance.
  5. Stagger cut-offs and preserve the minimum continuous reinforcement. Keep earthquake plastic-hinge regions free of inappropriate terminations.
  6. Show the theoretical point, physical bar end, extension length and continuing bars in a longitudinal reinforcement drawing.

Example of the extension calculation: with d = 450 mm and a 20 mm bar, max(d, 12φ) = max(450, 240) = 450 mm. This is the extension beyond the theoretical point, not the development length of the bar and not permission to cut it off without a shear check.

10.4 Shear Reinforcement Details

Specify the link diameter, grade, number of effective legs, spacing and extent of each zone. Two-legged 8 mm links have Asv = 100.53 mm²; four effective legs of the same diameter provide twice that area. A sketch must make the number of legs unambiguous.

For ordinary vertical beam stirrups, check s ≤ min(0.75d, 300 mm) and Asv/s ≥ 0.4b/(0.87fyv), as well as the shear-strength calculation. The ordinary shear-design steel strength is capped at 415 MPa. Torsion requires a closed perimeter, corner longitudinal bars and the additional spacing/area checks in Chapter 5.

Links must be properly anchored, enclose the intended longitudinal bars and restrain compression steel against buckling. In wide beams, a single wide two-legged link may not distribute shear reinforcement appropriately; use the required multi-leg arrangement. In seismic members, use the prescribed closed hoops, hook details and close-spaced end zones rather than substituting the ordinary 300 mm maximum.

10.5 Splicing of Reinforcement 2076207420712068

PAST EXAM QUESTIONS:

  1. What is splicing and why is it required in RCC structures? [2] (2076 Chaitra, Q5a)
  2. Enlist and make a sketch of three kinds of mechanical splices. [2] (2071 Chaitra, Q1b)
  3. Define development length. Why are splices required in RCC structures? [4] (2076 Ashwin, Q4b) → also 5.4
  4. What do you understand by splicing of bars? Write down the primary conditions for the application of splicing in reinforced concrete structures. [5] (2068 Baishakh, Q4a)
  5. Explain the limit state of serviceability and its requirements in RCC structures. Also list the different types of splicing of reinforcement. [4+1] (2074 Ashwin, Q3a) → also 3.1
  6. Define development length and lap splice. [2] (2075 Chaitra, Q3b)

Q1. What is splicing and why is it required in RCC structures? [2] (2076 Chaitra, Q5a)

Splicing joins successive lengths of reinforcement so that the required bar force passes across the joint. It is needed because available bar lengths, transport, fabrication and staged construction limit the use of one continuous bar.

  1. Lap splice: overlapping bars transfer force through bond with surrounding concrete.
  2. Welded splice: force transfers through a qualified weld in steel suitable for that process.
  3. Mechanical splice: a qualified coupler transfers force directly between prepared bar ends.

Select a splice for the required strength and ductility. Place it in a permitted low-demand region, stagger it as required and provide adequate cover, spacing and confinement. A splice that works under monotonic loading is not automatically suitable for a seismic yielding zone.

Q2. Enlist and make a sketch of three kinds of mechanical splices. [2] (2071 Chaitra, Q1b)

Parallel-thread coupler: prepared bar ends screw into a sleeve with matching parallel threads. Taper-thread coupler: tapered threaded bar ends engage a matching sleeve. Swaged sleeve: a steel sleeve is plastically pressed around the bar ends to form a mechanical grip. Their load paths differ from a concrete-bond lap splice.

Parallel thread Taper thread Swaged sleeve Thread engagement Tapered engagement Pressed mechanical grip
Original conceptual splice sketches for the exam question; actual sleeve geometry and installation follow the qualified manufacturer's system.

Specify compatibility with the bar grade, required strength and ductility, qualification tests, thread preparation or swaging process, installation inspection and any cyclic-performance requirement. A coupler that transfers static axial force is not automatically qualified for a seismic plastic-hinge region. Welding also requires suitable steel chemistry and an approved procedure; arbitrary site welding can damage bar properties.

Q3. Define development length. Why are splices required in RCC structures? [4] (2076 Ashwin, Q4b)

Development length is the length of reinforcement embedded in concrete needed to develop a specified bar stress by bond. Equate the bar force (πφ²/4)σs to the bond resistance πφLdτbd, giving Ld = φσs/(4τbd). At full design tensile stress, use σs = 0.87fy.

The required length depends on bar diameter, bar stress, concrete grade, surface profile and whether the force is tension or compression. It is needed at supports, bar terminations and member connections. Insufficient anchorage can cause pull-out or splitting before the intended flexural strength develops.

Splicing joins successive lengths of reinforcement so that the required bar force passes across the joint. It is needed because available bar lengths, transport, fabrication and staged construction limit the use of one continuous bar.

  1. Lap splice: overlapping bars transfer force through bond with surrounding concrete.
  2. Welded splice: force transfers through a qualified weld in steel suitable for that process.
  3. Mechanical splice: a qualified coupler transfers force directly between prepared bar ends.

Select a splice for the required strength and ductility. Place it in a permitted low-demand region, stagger it as required and provide adequate cover, spacing and confinement. A splice that works under monotonic loading is not automatically suitable for a seismic yielding zone.

Q4. What do you understand by splicing of bars? Write down the primary conditions for the application of splicing in reinforced concrete structures. [5] (2068 Baishakh, Q4a)

Splicing joins successive lengths of reinforcement so that the required bar force passes across the joint. It is needed because available bar lengths, transport, fabrication and staged construction limit the use of one continuous bar.

  1. Lap splice: overlapping bars transfer force through bond with surrounding concrete.
  2. Welded splice: force transfers through a qualified weld in steel suitable for that process.
  3. Mechanical splice: a qualified coupler transfers force directly between prepared bar ends.

Select a splice for the required strength and ductility. Place it in a permitted low-demand region, stagger it as required and provide adequate cover, spacing and confinement. A splice that works under monotonic loading is not automatically suitable for a seismic yielding zone.

Splicing joins two bars to make up a length longer than the standard bar (~12 m) or to continue reinforcement from one member to the next (e.g. column starter bars). Three kinds:

  • Lap splice — overlapping bars transfer force through bond into the surrounding concrete and back into the other bar. Length depends on whether the force is flexural tension, direct tension or compression. Laps are normally avoided for bars larger than 36 mm unless a specifically permitted detail is used.
  • Welded splice — the bars are butt-/lap-welded; used for large bars where lapping would congest the section (weldable steel required).
  • Mechanical splice (coupler) — a sleeve joins the bars: parallel-thread, taper-thread, and cold-swaged couplers — develop the full bar strength with no dependence on the concrete.

Conditions: place splices away from sections of maximum stress, stagger them (not more than 50% at one section), and keep the required lap/coupler capacity ≥ the bar force.

Type of lapOrdinary minimum lap-length basis
Flexural tensionGreater of Ld in tension and 30φ
Direct tensionGreater of 2Ld in tension and 30φ
CompressionGreater of Ld in compression and 24φ

The straight length of a tension lap must also satisfy the applicable minimum of 15φ or 200 mm, whichever is greater. Where diameters differ, the ordinary lap-length rule is based on the smaller diameter, but the bar-force and splice-capacity requirements still apply. Bundled bars need individual splice and development treatment, not a single unqualified lap for the bundle.

Worked comparison: a 20 mm Fe500 deformed bar in M20 has Ld,tension = 1132.81 mm. Its ordinary flexural-tension lap therefore needs at least 1133 mm, not 30φ = 600 mm. A direct-tension lap needs at least 2266 mm. With the 25% compression bond-stress increase, Ld,compression = 906.25 mm, exceeding 24φ = 480 mm; adopt at least 907 mm before any additional detailing requirements.

Q5. Explain the limit state of serviceability and its requirements in RCC structures. Also list the different types of splicing of reinforcement. [4+1] (2074 Ashwin, Q3a)

IS 456 limits final deflection due to all loads, including temperature, creep and shrinkage, to normally L/250. Deflection occurring after the erection of partitions and application of finishes is normally limited to the smaller of L/350 and 20 mm. The second limit does not mean the complete deflection from the initially unloaded position.

The sufficient-stiffness method is a deemed-to-satisfy check within the scope of the code provisions. It limits span divided by effective depth, not overall depth. Basic ratios for spans up to 10 m are 7 for cantilevers, 20 for simply supported members and 26 for continuous members. Modify the ratio for tension reinforcement, compression reinforcement and flanged sections as applicable. For spans over 10 m, the code's span correction applies; cantilevers require a calculated deflection check.

Cracks may arise from flexure, shear, torsion, restraint of shrinkage/temperature movement, settlement or corrosion. A flexural crack calculation is not an assessment of every possible crack mechanism. Under IS 456, surface crack width is generally limited to 0.3 mm where cracking is not harmful; 0.2 mm is suggested where tensile-zone exposure makes cracking harmful, and 0.1 mm for particularly aggressive environments. These are not a universal one-to-one table of exposure classes, and water-retaining structures require their own provisions.

Methods of crack control (IS 456):

  • Use several small-diameter bars well distributed rather than a few large bars — more bars = closer, finer cracks.
  • Limit the clear spacing of bars (deemed-to-satisfy spacing rules) and provide adequate minimum steel.
  • Provide sufficient (but not excessive) cover, and side-face reinforcement for deep beams.
  • Keep the steel service stress low and use deformed bars for better bond.

The design surface crack width is estimated by the empirical formula:

Wcr = 3 acr εm1 + 2(acr − cmin)/(D − x)

where acr = distance from the point to the nearest bar surface, cmin = minimum cover, εm = average strain at the level considered (net of a tension-stiffening allowance), D = overall depth and x = neutral-axis depth.

Splicing joins successive lengths of reinforcement so that the required bar force passes across the joint. It is needed because available bar lengths, transport, fabrication and staged construction limit the use of one continuous bar.

  1. Lap splice: overlapping bars transfer force through bond with surrounding concrete.
  2. Welded splice: force transfers through a qualified weld in steel suitable for that process.
  3. Mechanical splice: a qualified coupler transfers force directly between prepared bar ends.

Select a splice for the required strength and ductility. Place it in a permitted low-demand region, stagger it as required and provide adequate cover, spacing and confinement. A splice that works under monotonic loading is not automatically suitable for a seismic yielding zone.

Q6. Define development length and lap splice. [2] (2075 Chaitra, Q3b)

Development length is the length of reinforcement embedded in concrete needed to develop a specified bar stress by bond. Equate the bar force (πφ²/4)σs to the bond resistance πφLdτbd, giving Ld = φσs/(4τbd). At full design tensile stress, use σs = 0.87fy.

The required length depends on bar diameter, bar stress, concrete grade, surface profile and whether the force is tension or compression. It is needed at supports, bar terminations and member connections. Insufficient anchorage can cause pull-out or splitting before the intended flexural strength develops.

Lap splice is the overlap used to transfer force between two bars through the surrounding concrete. Development length concerns developing the force of one bar; lap length additionally satisfies the splice rules. Ordinary flexural-tension laps require at least max(Ld, 30φ), while direct tension and compression have different requirements. Both lap location and confinement must be suitable.

Splicing joins two bars to make up a length longer than the standard bar (~12 m) or to continue reinforcement from one member to the next (e.g. column starter bars). Three kinds:

Conditions: place splices away from sections of maximum stress, stagger them (not more than 50% at one section), and keep the required lap/coupler capacity ≥ the bar force.

Type of lapOrdinary minimum lap-length basis
Flexural tensionGreater of Ld in tension and 30φ
Direct tensionGreater of 2Ld in tension and 30φ
CompressionGreater of Ld in compression and 24φ

The straight length of a tension lap must also satisfy the applicable minimum of 15φ or 200 mm, whichever is greater. Where diameters differ, the ordinary lap-length rule is based on the smaller diameter, but the bar-force and splice-capacity requirements still apply. Bundled bars need individual splice and development treatment, not a single unqualified lap for the bundle.

Worked comparison: a 20 mm Fe500 deformed bar in M20 has Ld,tension = 1132.81 mm. Its ordinary flexural-tension lap therefore needs at least 1133 mm, not 30φ = 600 mm. A direct-tension lap needs at least 2266 mm. With the 25% compression bond-stress increase, Ld,compression = 906.25 mm, exceeding 24φ = 480 mm; adopt at least 907 mm before any additional detailing requirements.

Three Mechanical Splice Types

Parallel-thread coupler: prepared bar ends screw into a sleeve with matching parallel threads. Taper-thread coupler: tapered threaded bar ends engage a matching sleeve. Swaged sleeve: a steel sleeve is plastically pressed around the bar ends to form a mechanical grip. Their load paths differ from a concrete-bond lap splice.

Parallel thread Taper thread Swaged sleeve Thread engagement Tapered engagement Pressed mechanical grip
Original conceptual splice sketches for the exam question; actual sleeve geometry and installation follow the qualified manufacturer's system.

Specify compatibility with the bar grade, required strength and ductility, qualification tests, thread preparation or swaging process, installation inspection and any cyclic-performance requirement. A coupler that transfers static axial force is not automatically qualified for a seismic plastic-hinge region. Welding also requires suitable steel chemistry and an approved procedure; arbitrary site welding can damage bar properties.

10.6 Anchorage of Reinforcement

Anchorage transfers a bar force into its surrounding concrete or a mechanical end device. The basic bond requirement is Ld = φσs/(4τbd). Develop the force at the section where it is required, allowing for bar stress, concrete grade, bar type, compression/tension and confinement.

Under the ordinary tension-anchorage provisions, a bend contributes an equivalent anchorage value of 4φ for each 45° of bend, up to 16φ; a standard U-type hook has an anchorage value of 16φ. These are equivalent bond/anchorage credits, not instructions to add the same amount to the physical cutting length. Compression anchorage and seismic joint anchorage have their own requirements.

Check available straight length, bend radius, cover outside a bend and local confinement. A bar bent tightly at a free edge can split the cover even if a nominal length calculation appears adequate. For bundled bars, the ordinary development-length increases are 10%, 20% and 33% for two-, three- and four-bar bundles respectively; detailing must still permit concrete placement and develop each bar.

Support check: the familiar Ld ≤ M1/V + Lo condition uses the resistance of the bars continued. The 1.3 increase of M1/V applies only where the code permits it for confinement by a compressive support reaction. The full derivation and distinction from local flexural bond are given in Chapter 5.

10.7 Bar Bending Schedule 2079

PAST EXAM QUESTIONS:

  1. Discuss the requirements for good detailing. Also describe the bar bending schedule. [3+3] (2079 Bhadra, Q4a) → also 10.1

Q1. Discuss the requirements for good detailing. Also describe the bar bending schedule. [3+3] (2079 Bhadra, Q4a)

Detailing turns the design into buildable bar arrangements. Good detailing:

  • provides the correct cover (durability/fire) and adequate bar spacing for concrete to flow and bond;
  • gives full anchorage / development length and correct lap positions (away from high-stress zones);
  • follows the bending-moment envelope — bars where tension occurs (bottom at mid-span, top over supports), with proper curtailment;
  • avoids congestion so concrete can be compacted, yet ties the cage together;
  • ensures ductility (continuous bars, closed stirrups, hooks) — essential for seismic zones.

RC beam detailing: locate bottom bars for sagging moment, top bars for hogging moment and the necessary hanger/continuity bars. Specify the bar layers, stirrup diameter, number of legs, spacing zones, end anchorage and any curtailment. For ductile seismic beams, the additional continuity and hoop rules in Chapter 11 apply; bent-up bars do not replace seismic hoops.

A good drawing must agree with the calculation: changing from one bar layer to two changes d; changing diameter changes anchorage and bar fit; adding laps can double the local congestion. Dimension cover to the correct steel surface and state whether a length is measured to a bar centreline, inside face or outside face. Use consistent bar marks so the plan, sections and BBS describe the same cage.

A bar bending schedule (BBS) is a tabular list of every bar in a member giving its bar mark, diameter, shape (with bending dimensions), cutting length, number of bars and total weight. It lets the steel be cut and bent accurately off-site, controls wastage, and lets the quantity of steel be estimated and ordered.

  1. Identify each distinct bar shape, diameter, grade and location and assign a unique bar mark.
  2. Take dimensions from the coordinated reinforcement drawing, including actual end anchorage, laps and approved bend radii.
  3. Calculate the bar-centreline length. For a bend, arc length = θ(Rinside + φ/2), with θ in radians; add the straight tangent lengths and hook tails.
  4. Count bars from the specified maximum spacing and actual first/last bar positions, including the required bars at both ends of a distribution zone.
  5. Calculate total length and nominal mass, then summarize by diameter. Keep procurement/wastage allowances separate from the geometric net quantity.

A 45° crank adds (cosec45° − cot45°)h = 0.4142h relative to its horizontal projection, where h is the vertical rise between bar centrelines, not the overall beam depth. Bend deductions depend on the dimensioning convention and bend radius. There is no universal rule that every 90° bend simply adds 2φ to any set of outside dimensions.

A bar bending schedule (BBS) is a tabular list of every bar in a member giving its bar mark, diameter, shape (with bending dimensions), cutting length, number of bars and total weight. It lets the steel be cut and bent accurately off-site, controls wastage, and lets the quantity of steel be estimated and ordered.

Preparing a BBS

  1. Identify each distinct bar shape, diameter, grade and location and assign a unique bar mark.
  2. Take dimensions from the coordinated reinforcement drawing, including actual end anchorage, laps and approved bend radii.
  3. Calculate the bar-centreline length. For a bend, arc length = θ(Rinside + φ/2), with θ in radians; add the straight tangent lengths and hook tails.
  4. Count bars from the specified maximum spacing and actual first/last bar positions, including the required bars at both ends of a distribution zone.
  5. Calculate total length and nominal mass, then summarize by diameter. Keep procurement/wastage allowances separate from the geometric net quantity.

A 45° crank adds (cosec45° − cot45°)h = 0.4142h relative to its horizontal projection, where h is the vertical rise between bar centrelines, not the overall beam depth. Bend deductions depend on the dimensioning convention and bend radius. There is no universal rule that every 90° bend simply adds 2φ to any set of outside dimensions.

Worked BBS: Bottom Mesh of the Chapter 9 Footing

Practice question. Prepare the bar bending schedule for the bottom reinforcement of a square footing measuring 4.10 m on each side. Provide straight bars of 16 mm diameter in two perpendicular directions at a maximum centre-to-centre spacing of 200 mm. Take the nominal side and end cover as 50 mm. Determine the number of bars in each direction, the cutting length of each bar, the total bar length and the total nominal steel mass using φ²/162 kg/m. Exclude column starters, ties, chairs and wastage from this bottom-mesh schedule.

The 4.10 m square footing uses 50 mm nominal end cover and straight 16 mm bars. Each bar's cutting length is 4.10 − 2(0.05) = 4.000 m. Across the width, the first and last bar centrelines are 58 mm from the edges, giving 3.984 m between them. For a maximum spacing of 0.200 m, use ceil(3.984/0.200) + 1 = 21 bars per direction.

Bar markDiameterShape / positionLength eachNumberTotal lengthMass
F116 mmStraight, first bottom direction4.000 m2184.000 m132.74 kg
F216 mmStraight, perpendicular layer4.000 m2184.000 m132.74 kg
Bottom mesh only168.000 m265.48 kg

Nominal bar mass = φ²/162 kg/m, so the mesh mass is 168 × 16²/162 = 265.48 kg. This schedule excludes column starters, ties, chairs and wastage; those are separate marks/allowances, not hidden additions to the cutting length.

Exam answer: define the BBS, state its purposes, list the required columns, show a dimensioned bar shape and demonstrate number, cutting length and mass. A table containing only symbols for the final weight does not demonstrate a completed schedule.