CVE80021 Building Design Project Assignment Sample

eview a building design project covering composite slab systems, primary and secondary steel beam design, structural loading, serviceability, and fire resistance requirements.

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1 Introduction

This report presents the structural design of a composite floor system for a multi-storey school building located in Melbourne. The project arose as an alternative design solution following budget overruns in the original scheme. The proposed system incorporates reinforced concrete slabs supported by a framework of primary and secondary steel beams, combined with BONDEK profiled sheeting to enhance construction efficiency and cost-effectiveness.

Students reviewing similar engineering projects can explore best assignment help Australia for academic guidance on understanding technical concepts and structuring their assignments.

The primary objectives of this design are to ensure compliance with Australian Standards while providing a structurally efficient system that satisfies requirements for safety, serviceability, durability, cracking, and fire resistance. Key components include determination of slab thickness and reinforcement, evaluation of primary and secondary beams with shear stud requirements, and estimation of material quantities. Both construction and in-service performance are assessed, with results benchmarked against relevant strength and serviceability criteria.

The layout of the floor system is illustrated in Figure 1, highlighting the arrangement of primary beams (PB1–PB4), secondary beams (SB1–SB3), and reinforced concrete slabs.

Figure 1: Typical Floor Plan

(Source: Assignment Drawing CVE80021-25-S2-SK-0001)

2 Design Criteria

The design is carried out considering the following criteria, which govern loading, durability, and performance requirements:

  • Imposed Load (Q): 4.0 kPa, representing occupancy-related live loads.
  • Superimposed Dead Load (Gs): 1.5 kPa, accounting for non-structural permanent loads such as finishes and partitions.
  • Concrete Properties: Normal weight concrete with a characteristic compressive strength, $f'_c = 32\text{ MPa}$.
  • Reinforcement Steel: Grade 500 MPa deformed bars.
  • Profile Sheeting: BONDEK steel sheeting adopted for formwork and composite action.
  • Fire Resistance Level (FRL): 120/120/120 for slabs and beams, with beams assumed to be fire-protected.
  • Crack Control: Minor degree of crack control as required for durability and serviceability.
  • Design Philosophy: Limit state design approach, with separate checks for ultimate strength, serviceability, and construction phase performance.

3 Design Standards

The following Australian Standards are referenced throughout the design process:

  • AS 1170.0 – Structural Design Actions, Part 0: General Principles.
  • AS 1170.1 – Structural Design Actions, Part 1: Permanent, Imposed, and Other Actions.
  • AS 1170.4 – Structural Design Actions, Part 4: Earthquake Actions in Australia.
  • AS 3600 – Concrete Structures Standard.
  • AS 2327 – Composite Structures Standard.
  • AS 4100 – Steel Structures Code.
  • LYSAGHT BONDEK Design Guide – for sheeting properties and construction phase checks.

4 Identification and Computation of Loading Parameters

The applied loads on the composite floor system include dead loads, superimposed dead loads, and imposed (live) loads. These are evaluated according to AS 1170.0 and AS 1170.1, with separate combinations adopted for serviceability and strength limit states.

4.1 Dead Load

Dead load consists of the self-weight of structural elements (concrete slab, reinforcement, and BONDEK sheeting) and permanent construction components.

Assumptions for calculation:

  • Slab thickness (initial trial): 150 mm
  • Concrete density: $24\text{ kN/m}^3$
  • BONDEK sheeting: thickness = 1.0 mm, mass = $13.79\text{ kg/m}^2$
  • Reinforcement allowance: $0.1\text{ kN/m}^2$ per 100 mm slab thickness

Calculation:

Self-weight of concrete slab = $0.150\text{ m} \times 24\text{ kN/m}^3$ = $3.60\text{ kN/m}^2$

BONDEK sheeting = $(13.79 \times 9.81) / 1000$ = $0.14\text{ kN/m}^2$

Reinforcement weight (allowance) = $0.1 \times (150 / 100)$ = $0.15\text{ kN/m}^2$

Superimposed dead load (finishes, partitions, etc.) = $1.50\text{ kN/m}^2$ (given)

Total Dead Load (G): = $3.60 + 0.14 + 0.15 + 1.50$ = $5.39\text{ kN/m}^2$

4.2 Live Load

The imposed load specified for the school building is: $Q = 4.00\text{ kN/m}^2$

4.3 Load Combinations

The floor system is designed using the limit state method, considering both serviceability and ultimate strength/stability conditions.

4.3.1 Limit State of Serviceability

The short-term factor for imposed loads ($\psi_s$) is taken as 0.7 (AS 1170.0 Table 4.1).

  1. Case 1: $G = 5.39\text{ kN/m}^2$
  2. Case 2: $G + \psi_s Q = 5.39 + (0.7 \times 4.0) = 8.19\text{ kN/m}^2$

4.3.2 Limit State of Strength and Stability

Ultimate load combinations are considered per AS 1170.0 and AS 1170.1:

  1. $1.35G = 1.35 \times 5.39 = 7.28\text{ kN/m}^2$
  2. $1.2G + 1.5Q = (1.2 \times 5.39) + (1.5 \times 4.0) = 6.47 + 6.00 = 12.47\text{ kN/m}^2$
  3. $1.2G + 1.5\psi_l Q$ (For school/educational occupancy, long-term factor $\psi_l = 0.4$) = $(1.2 \times 5.39) + (1.5 \times 0.4 \times 4.0) = 6.47 + 2.40 = 8.87\text{ kN/m}^2$

5 Design of Members

5.1 Slab Design

Three 1m strip slabs are considered for the slab design with two different lengths: 6.6m and 7.2m. An initial slab thickness of 150 mm is adopted as a trial depth based on experience and constructability. The slab must satisfy the requirements of strength, serviceability, crack control, and fire resistance.

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5.1.1 Crack Control

Crack control in reinforced concrete slabs is necessary to maintain durability, appearance, and serviceability. For this project, a minor degree of crack control is required, consistent with educational building exposure conditions (internal environment, dry service class). The provisions of AS 3600:2018, Clause 9.5 are applied.

Figure 2 Design Strip of Slab in Critical Section

Assumptions for Crack Control Check:

  • Slab thickness = 150 mm
  • Effective cover to reinforcement = 25 mm (with BONDEK profile, effective depth measured from crest of sheeting)
  • Effective depth ($d$) $\approx 150 - 25 = 125\text{ mm}$
  • Reinforcement: High strength deformed bars, Grade 500 MPa
  • Crack control category: Minor
4.1.1.1 Minimum Reinforcement Requirement (AS 3600, Clause 9.5.3)

For a restrained slab with minor crack control, the minimum reinforcement ratio is given as:

$A_{st,min} = (3.0 - 2.5\sigma_{cp}) \times b \times D$

Where:

  • $\sigma_{cp} = \text{average prestress in slab (assumed 0, as slab is non-prestressed)}$
  • $b = 1000\text{ mm (unit strip width)}$
  • $D = \text{overall depth of slab} - \text{cover allowance to centroid of steel}$

Taking centroid of reinforcement at $\approx 40\text{ mm}$ from soffit:

Effective depth for crack check = $150 - 40 = 110\text{ mm}$

Per AS 3600 Clause 9.5.3.2 & 9.5.3.4, for slabs with minor crack control:

$A_{st,min} = 3.0 \times (1000 \times 98) \times 10^{-3} = \mathbf{294\text{ mm}^2\text{/m}}$

4.1.1.2 Reinforcement in Secondary Direction

Let’s assume SL82 mesh (8 mm dia. bars @ 200 mm spacing in both directions) is placed as standard crack control reinforcement.

Steel area per metre width:

$A_{st,provided} = (\pi \times 8^2 / 4) \times (1000 / 200) = 50.27 \times 5 = \mathbf{251\text{ mm}^2\text{/m}}$

4.1.1.3 Design Check for Crack Control
  • Required $A_{st,min} = 294\text{ mm}^2\text{/m}$
  • Provided $A_{st,provided} = 251\text{ mm}^2\text{/m}$
  • Result $\rightarrow$ Provided mesh is slightly less than minimum.

So finally, to satisfy the minimum reinforcement requirement, SL92 mesh (9 mm dia. bars @ 200 mm c/c) can be used instead.

$A_{st,provided} = (\pi \times 9^2 / 4) \times (1000 / 200) = 63.6 \times 5 = \mathbf{318\text{ mm}^2\text{/m}}$

4.1.2 Limit State of Strength (ULS)

Design intent: Verify that the composite slab (normal-weight concrete on BONDEK) has adequate positive (sagging) and negative (hogging) moment capacity under ULS load combinations.

Inputs: Slab thickness (trial) = 150 mm; Concrete $f'_c = 32\text{ MPa}$; Imposed load $Q = 4.0\text{ kPa}$; Superimposed dead load, $G_s = 1.5\text{ kPa}$; BONDEK 1.0 mm; internal school occupancy.

Governing ULS pressure: $1.2G + 1.5Q = \mathbf{12.47\text{ kN/m}^2}$.

Span model (for interim hand-checks): Secondary beams are shown at 2.4 m centres (max) on the sketch; adopt one-way action to SBs with $L_{eff} = 2.40\text{ m}$ for the 1 m design strip.

A) Design actions (1 m wide slab strip)
Uniform live load $w^* = 12.47\text{ kN/m}$ (since 1 m strip).
For a continuous one-way slab, interim design moments (coefficients $\alpha$):

  • Positive (midspan): $M_+^* = (w^* L_{eff}^2)/16 = 12.47 \times 2.40^2 / 16 = \mathbf{4.49\text{ kNm/m}}$
  • Negative (support): $M_-^* = (w^* L_{eff}^2)/12 = 12.47 \times 2.40^2 / 12 = \mathbf{5.99\text{ kNm/m}}$
Figure 3: Bending Moment Diagram of 1 m slab strip (software, ULS 1.2G+1.5Q)

B) Positive moment capacity (sagging, composite action with BONDEK)
Method per AS 2327 (and BONDEK guide):
$M_{Rd} = N_{p,d} \cdot Z + M_{pr,d}$ (conservative: take $M_{pr,d} \approx 0$)

  • Shear connection design axial force design shear interlock strength (Bondek, $t = 1.0\text{ mm}$, $f'_c = 32\text{ MPa}$) $\approx \tau_{u,Rd} = \mathbf{0.50\text{ MPa}}$ (manufacturer guidance).
  • Effective width $b = 1000\text{ mm}$ (1 m strip). Effective transfer length $L_x = \mathbf{1.10\text{ m}}$ (conservative cap).
  • $N_{\tau,d} = \tau_{u,Rd} \cdot b \cdot L_x = 0.50 \times 1000 \times 1100 \times 10^{-3} = \mathbf{550\text{ kN}}$
  • Steel sheeting yield: $f_{yp} = 550\text{ MPa}$, $\phi_s = 0.9$; effective steel area $A_{pe} = \mathbf{1678\text{ mm}^2\text{/m}}$ (Bondek data).
  • $N_{yp,d} = \phi_s f_{yp} A_{pe} = 0.9 \times 550 \times 1678 \times 10^{-3} = \mathbf{830.6\text{ kN}}$
  • Concrete block in compression: $\phi_c = 0.65$, $h_c = 150 - 52 = \mathbf{98\text{ mm}}$
  • $N_{c,d} = 0.85 \phi_c f'_c h_c b \times 10^{-3} = 0.85 \times 0.65 \times 32 \times 98 \times 1000 \times 10^{-3} = \mathbf{1733\text{ kN}}$
  • Hence $N_{FSC,d} = \min(N_{yp,d}, N_{c,d}) = \mathbf{830.6\text{ kN}}$ and governing $\mathbf{N_{p,d} = \min(N_{\tau,d}, N_{FSC,d}) = 550\text{ kN}}$.
  • Composite lever arm: $h_1 = N_{p,d} / (0.85 \phi_c f'_c b) = 550000 / (0.85 \times 0.65 \times 32 \times 1000) = \mathbf{31.11\text{ mm}}$
  • Take BONDEK eccentricities: $e_p \approx 20\text{ mm}$; $e \approx 15.5\text{ mm}$; overall depth $h = 150\text{ mm}$.
  • $Z = h - 0.5h_1 - e_p + (e_p - e) (N_{p,d}/N_{yp,d}) = 150 - 0.5 \times 31.11 - 20 + (4.5) \times (550/830.6) = \mathbf{\approx 117.4\text{ mm}}$
  • Positive moment resistance: $M_{Rd,+} = N_{p,d} \times Z = 550\text{ kN} \times 0.1174\text{ m} = \mathbf{64.6\text{ kNm/m}}$

Check: $M_{Rd,+}$ ($64.6\text{ kNm/m}$) $\gg M_+^*$ ($4.49\text{ kNm/m}$) $\rightarrow$ OK with very large reserves.

C) Negative moment capacity (hogging, top reinforcement)
Provide top bars over supports (hogging region). Adopt: N12 @ 200 mm top (in primary direction) over supports; crack-control mesh SL92 elsewhere.

  • Steel area (per metre): $A_{st} (\text{N12-200}) = (\pi \times 12^2 / 4) \times (1000/200) = \mathbf{565\text{ mm}^2\text{/m}}$
  • Design capacity: $\phi M_{u,-} = \phi \times A_{st} \times f_{sy} \times 0.85d \times 10^{-3} = 0.65 \times 565 \times 500 \times 0.085 \times 10^{-3} = \mathbf{15.30\text{ kNm/m}}$

Check: $\phi M_{u,-}$ ($15.30\text{ kNm/m}$) $\gg M_-^*$ ($5.99\text{ kNm/m}$) $\rightarrow$ OK with ample reserve.

D) ULS bending summary

Table 1: Slab ULS bending check (1 m strip; $L_{eff} = 2.40\text{ m}$ unless noted)
ItemValue
Governing ULS pressure ($1.2G + 1.5Q$) $12.47\text{ kN/m}^2$
Interim $M_+^*$ (continuous; $wL^2/16$) $4.49\text{ kNm/m}$
Interim $M_-^*$ (continuous; $wL^2/12$) $5.99\text{ kNm/m}$
$M_{Rd,+}$ (composite with BONDEK) $64.6\text{ kNm/m}$
$\phi M_{u,-}$ with N12@200 top $15.30\text{ kNm/m}$
ULS Utilisation (pos) = $M_+^* / M_{Rd,+}$ 0.07
ULS Utilisation (neg) = $M_-^* / \phi M_{u,-}$ 0.39

4.1.3 Fire Design (FRL 120/120/120)

The slab is assessed for insulation, integrity, and structural adequacy for a required fire resistance level of 120 minutes. BONDEK provisions are used for the composite slab in fire, consistent with the manufacturer’s Design & Construction Guide.

Fire design load and moments (1 m design strip)
Design fire load: $W_f = 1.0 G + \psi_l Q$, with $\psi_l = 0.4$ for long-term live load factors in fire ($G = 5.39\text{ kN/m}^2$, $Q = 4.00\text{ kN/m}^2$).
$W_f = 1.0 \times 5.39 + 0.4 \times 4.00 = \mathbf{6.99\text{ kN/m}^2} \rightarrow \mathbf{6.99\text{ kN/m}}$ for a 1 m strip.

  • $M_+ (\text{midspan}) = w L^2 / 16 = 6.99 \times 2.40^2 / 16 = \mathbf{2.52\text{ kNm/m}}$
  • $M_- (\text{support}) = w L^2 / 12 = 6.99 \times 2.40^2 / 12 = \mathbf{3.36\text{ kNm/m}}$
Figure 4: Fire-case Bending Moment Diagram

Insulation & integrity: Minimum overall slab depth $D$ required to satisfy insulation and integrity for 120 min is 120 mm for normal-density concrete; our trial depth 150 mm therefore complies.

Structural adequacy in fire: Bondek fire design is governed by composite action and longitudinal shear performance at elevated temperature; ribs remain comparatively cool and contribute to fire resistance. Up to 90 min typically needs no added fire bars; small amounts may be necessary for 120 min, which this design provides.

Positive (sagging) region – fire reinforcement at the soffit
Provide additional bottom "fire bars" within the permitted zone (average $y_b \approx 60\text{ mm}$ from soffit). Adopt N8 @ 200 in each direction in the primary span.
$A_{st} (\text{N8-200}) = (\pi \times 8^2/4) \times 1000/200 = \mathbf{251\text{ mm}^2\text{/m}}$
$\phi M_{u,fire} \approx \phi \times A_{st} \times f_{sy} \times 0.85 d = 1.0 \times 251 \times 10^{-6} \times 500 \times 10^6 \times 0.85 \times 0.09 = \mathbf{9.6\text{ kNm/m}} \ge M_+ (\text{fire}) 2.52\text{ kNm/m} \rightarrow \mathbf{OK}$.

Negative (hogging) region – top reinforcement
Top reinforcement provided at supports for room-temperature design also resists the reduced fire moment. With N12 @ 200 top previously adopted, $\phi M_{u,-} \approx 15.30\text{ kNm/m} \ge M_- (\text{fire}) 3.36\text{ kNm/m} \rightarrow \mathbf{OK}$.

Structural Design Calculation Report

4.1.4.1 Combination Load Calculation

From Section 3:

a. Case 1: G = 5.39 kN/m²

b. Case 2: G + 0.7Q = 5.39 + (0.7 × 4.0) = 8.19 kN/m²

For a 1 m wide strip:

  • w = 8.19 kN/m
  • Effective span (Leff) = 2.40 m

4.1.4.2 Short-term Elastic Deflection (Benchmark Calc)

For a simply supported span under uniform load:

δ = (5 w L⁴) / (384 E I)

Take:

  • w = 8.19 kN/m = 8.19 × 10³ N/m
  • L = 2.40 m
  • E = 30,000 MPa (concrete short-term)
  • Igross = b h³ / 12 = (1000 × 150³) / 12 = 2.81 × 10⁸ mm⁴

Convert units:

  • E = 30,000 N/mm²
  • Igross = 2.81 × 10⁸ mm⁴
  • L = 2400 mm

δ = (5 × 8.19 × 10³ × 2400⁴) / (384 × 30,000 × 2.81 × 10⁸) = 3.9 mm (short-term)

4.1.4.3 Long-term Deflection (Creep Multiplier)

AS 3600 recommends multiplying immediate deflection by a creep factor (θ).

For normal-weight concrete, θ ≈ 2.0 (depending on RH and span/depth).

δlt = δ × (1 + θ) = 3.9 × (1 + 2.0) = 11.7 mm

4.1.4.4 Allowable Deflection

Limit = Leff / 500 = 2400 / 500 = 4.8 mm

As, δlt (11.7 mm) > 4.8 mm, the slab does not strictly satisfy span/500 criterion under conservative gross-section assumption.

4.1.4.5 Refined Assessment (Effective Stiffness)

The above check is highly conservative because:

  • Composite action with BONDEK increases stiffness.
  • Slabs are continuous over multiple spans → redistribution reduces midspan deflection.
  • Cracking reduces stiffness, but AS 3600 allows the use of Ieff instead of Igross.

Ieff ≈ 0.35 Igross for flexural slabs.

If Ieff = 0.35 Igross = 0.98 × 10⁸ mm⁴:

δst = 3.9 / 0.35 ≈ 11.1 mm

δlt = 11.1 × (1 + 2) = 33.3 mm → still conservative.

In practice, BONDEK design charts (and software analysis) show significantly lower deflections due to restraint and composite stiffness.

Serviceability Check Summary

Table 2: Serviceability Deflection Check (Slab Strip, 1 m width)

ItemValue
Service load pressure (G+0.7Q) 8.19 kN/m²
Benchmark short-term δ 3.9 mm
Benchmark long-term δ (θ = 2.0) 11.7 mm
Allowable δmax (Leff/500) 4.8 mm
Software δmax (to be inserted) – mm
Compliance Pending software check

4.1.5 Construction Assessment

  • Adopted slab thickness, D = 150 mm.
  • Concrete unit weight = 24 kN/m³.
  • BONDEK weight = 0.14 kN/m².
  • Reinforcement allowance = 0.15 kN/m².
  • Imposed (service) Q = 4.00 kN/m².
  • Use 1 m wide design strips.
  • Two span lengths (between secondary beams / effective span): L1 = 6.60 m, L2 = 7.20 m.
  • Elastic modulus of concrete, E = 30,100 N/mm².
  • Gross moment of inertia (per 1 m width): I = b·h³/12 = 1000 × 150³ / 12 = 281,250,000 mm⁴.
  • For long-term estimates use creep factor θ = 2.0 → long-term multiplier = 1 + θ = 3.0 (conservative).
  • Allowable deflection (serviceability for appearance/sensitive finishes): Leff/500 (adopted); Leff = span in mm.

4.1.5.1 Load Scenarios (per 1 m strip):

Construction Stage A (casting — wet concrete only)

wA = Gconcrete + Gbondek + Greinf = (24 × 0.150) + 0.14 + 0.15 = 3.60 + 0.14 + 0.15 = 3.89 kN/m

Construction Stage B (wet concrete + temporary concrete mounding/construction load)

wB = wA + 2.00 (assumed concrete mounding / construction surcharge) = 3.89 + 2.00 = 5.89 kN/m

Post-hardening / near-service (after concrete set, before permanent use)

Use serviceability combination: G + 0.7Q = 8.19 kN/m (from Section 3).

wC = 8.19 kN/m

Short-term (elastic) midspan deflection for uniform load w (N/mm) on span L (mm):

δ = (5 w L⁴) / (384 E I)

Practical unit mapping (kN/m → N/mm): 1 kN/m = 1 N/mm for a 1 m strip.

Moment of inertia used: I = 281,250,000 mm⁴.

E: 30,100 N/mm².

L1 = 6.60 m → 6600 mm

L2 = 7.20 m → 7200 mm

Compute short-term midspan deflection (δst) for each scenario and span

Formula applied: δst = (5 × w × L⁴) / (384 × E × I)

(1) L1 = 6.60 m (6600 mm)

  • Scenario A: wA = 3.89 kN/m → δst_A_L1 = (5 × 3.89 × 6600⁴) / (384 × 30100 × 281250000) = 11.35 mm
  • Scenario B: wB = 5.89 kN/m → δst_B_L1 = (5 × 5.89 × 6600⁴) / (384 × 30100 × 281250000) = 17.19 mm
  • Scenario C: wC = 8.19 kN/m → δst_C_L1 = (5 × 8.19 × 6600⁴) / (384 × 30100 × 281250000) = 23.90 mm

(2) L2 = 7.20 m (7200 mm)

  • Scenario A: wA = 3.89 kN/m → δst_A_L2 = (5 × 3.89 × 7200⁴) / (384 × 30100 × 281250000) = 16.08 mm
  • Scenario B: wB = 5.89 kN/m → δst_B_L2 = (5 × 5.89 × 7200⁴) / (384 × 30100 × 281250000) = 24.35 mm
  • Scenario C: wC = 8.19 kN/m → δst_C_L2 = (5 × 8.19 × 7200⁴) / (384 × 30100 × 281250000) = 33.85 mm

Long-term (including creep) — conservative multiplier 3.0

δlt = 3.0 × δst

  • L1: δlt_A = 34.06 mm, δlt_B = 51.57 mm, δlt_C = 71.70 mm
  • L2: δlt_A = 48.24 mm, δlt_B = 73.05 mm, δlt_C = 101.54 mm

Allowable deflection (adopt Leff/500)

  • L1 allowable = 6600 / 500 = 13.20 mm
  • L2 allowable = 7200 / 500 = 14.40 mm

4.1.6 Design Conclusion

The composite slab designed with a thickness of 150 mm on BONDEK sheeting, reinforced with SL92 mesh at 200 mm centres in both directions, supplemented by N12 top bars at supports and N8 bottom fire bars, satisfies the requirements for crack control, strength, and fire resistance. The positive and negative moment capacities are substantially greater than the applied design actions, ensuring adequate strength performance. Fire design checks confirm compliance with the required FRL of 120/120/120. Conservative construction deflection calculations suggest propping is necessary, particularly for spans greater than 6.6 m, to control short-term deflection during pouring and construction. Final deflection performance will be verified through structural software modelling, which accounts for slab continuity and composite stiffness.

4.2 Design of Secondary Beam SB3

4.2.1 Design Loads

The beam loads consist of slab self-weight (concrete + BONDEK + reinforcement), superimposed dead load (finishes), imposed load tributary to the beam, and the self-weight of the steel beam. Loads are taken per 1 m² strip then converted to line loads by the tributary width.

  • Slab thickness = 150 mm (adopted).
  • Concrete unit weight = 24 kN/m³.
  • BONDEK mass = 13.79 kg/m² → 0.14 kN/m².
  • Reinforcement allowance = 0.15 kN/m².
  • Superimposed dead load Gs = 1.5 kN/m² (given).
  • Imposed load Q = 4.0 kN/m² (given).
  • Tributary width of SB3 (spacing of SBs) = 2.40 m (from sketch / typical).
  • Adopt trial steel section 360UB44.7 (unit weight = 44.7 kg/m). (This is a conservative trial — can be changed later.)

4.2.1.1 Dead Load (per 1 m² and per metre of beam)

Slab concrete self-weight (Gconcrete) = 0.150 m × 24 kN/m³ = 3.60 kN/m²

BONDEK sheeting (Gbondek) = (13.79 kg/m² × 9.81 m/s²) / 1000 = 0.14 kN/m²

Reinforcement allowance (Greinf) = 0.15 kN/m² (assumed allowance)

Superimposed dead load (Gs) = 1.50 kN/m² (given)

Total floor dead load per unit area (Garea) = Gconcrete + Gbondek + Greinf + Gs = 3.60 + 0.14 + 0.15 + 1.50 = 5.39 kN/m²

Convert to line load on beam using tributary width (bt = 2.40 m):

Gline_from_slab = Garea × bt = 5.39 × 2.40 = 12.936 kN/m

Steel beam self-weight (Gsteel) for 360UB44.7: mass = 44.7 kg/m → weight = 44.7 × 9.81 / 1000 = 0.438 kN/m

Total dead load on SB3 (line load): Gtotal_line = Gline_from_slab + Gsteel = 12.936 + 0.438 = 13.374 kN/m

4.2.1.2 Imposed Load

From the design brief, the imposed load on the slab is 4.0 kN/m².

  • Tributary width of SB3 = 2.40 m
  • Line load from imposed action: Qline = 4.0 × 2.40 = 9.60 kN/m

4.2.1.3 Design Combinations

The governing load combinations for SB3 are taken from AS 1170.0:

Serviceability

  • Case 1: G = 13.37 kN/m
  • Case 2: G + 0.7Q = 13.37 + (0.7 × 9.60) = 13.37 + 6.72 = 20.09 kN/m

Ultimate (Strength)

  • 1.35G = 1.35 × 13.37 = 18.04 kN/m
  • 1.2G + 1.5Q = (1.2 × 13.37) + (1.5 × 9.60) = 16.04 + 14.40 = 30.44 kN/m

4.2.2 Shear Force Diagram and Bending Moment Diagram

Assume SB3 is simply supported between two primary beams (approximate clear span L = 7.5 m).

For a uniformly distributed load w:

Max shear = Vmax = wL/2

Max moment = Mmax = wL²/8

Using governing ULS load = 30.44 kN/m:

Vmax = (30.44 × 7.5) / 2 = 114.1 kN

Mmax = (30.44 × 7.5²) / 8 = (30.44 × 56.25) / 8 = 214.1 kNm

4.2.3 Limit State of Strength

4.2.3.1 Moment Capacity Assessment

Adopt trial section 360UB44.7:

  • Section modulus Zx = 563 × 10³ mm³
  • Yield strength fy = 300 MPa
  • ϕ = 0.9 (AS 4100)

Design moment capacity: ϕMs = ϕ × Z × fy × 10⁻⁶ = 0.9 × 563 × 10³ × 300 × 10⁻⁶ = 152 kNm

Compare with demand M* = 214.1 kNm → ϕMs (152) < M* (214.1) → section fails in bending

Action: Heavier section required (e.g., 410UB59.7).

Check 410UB59.7 (Z = 759 × 10³ mm³): ϕMs = 0.9 × 759 × 10³ × 300 × 10⁻⁶ = 205 kNm (still slightly < 214 kNm).

Check 460UB67.1 (Z = 922 × 10³ mm³): ϕMs = 0.9 × 922 × 10³ × 300 × 10⁻⁶ = 249 kNm → OK (ϕMs > M*).

Adopt section: 460UB67.1 for SB3.

4.2.3.2 Shear Capacity

Shear area for 460UB67.1: Av ≈ 8060 mm² (from steel tables).

Nominal shear capacity: ϕVv = 0.9 × 0.6 × fy × Av × 10⁻³ = 0.9 × 0.6 × 300 × 8060 × 10⁻³ = 1312 kN

Design shear demand V* = 114.1 kN → ϕVv (1312) >> V* (114) → Shear capacity OK.

4.2.4 Construction Phase Assessment

BONDEK sheeting spans to SB3 during casting. Temporary propping may be required depending on construction sequence.

4.2.4.1 Construction Stages

Stage 1 (wet concrete self-weight): Deflections for SB3 under slab dead load only (≈ 13.37 kN/m) produce midspan moment = (13.37 × 7.5²) / 8 = 94.0 kNm. With early-age stiffness, temporary propping is recommended.

Stage 2 (wet + mounding): Load increases by ≈ 2 kN/m² → ~4.8 kN/m additional on SB3. Moment rises to ~127 kNm. Propping is essential to limit deflections.

Stage 3 (full-service load before composite action develops): Service combination load = 20.09 kN/m gives M* ≈ 141.5 kNm. This may exceed bare steel beam capacity without studs.

4.2.4.2 Construction Stage 5–6

Stage 5 (composite action, hardened concrete): Total dead load Gtotal = 13.37 kN/m. Using composite inertia Icomp ≈ 596 × 10⁶ mm⁴, short-term deflection δ₂ = 4.62 mm → Within span/250 (7.5 m / 250 = 30 mm).

Stage 6 (short-term imposed load, Qshort = 0.7 × 9.6 = 6.72 kN/m): δ₃ = 2.32 mm (OK).

Short-Term Deflection (Composite Stage)

δst = δ₂ + δ₃ = 6.94 mm

Allowable = 30 mm (span/250) → OK

Long-Term Deflection

Using cracked-section stiffness Itl ≈ 337 × 10⁶ mm⁴:

Long-term live load (Qlong = 0.4 × 9.6 = 3.84 kN/m) → δ₄ = 2.21 mm

Total long-term deflection (including creep multiplier): δlt = δst + δ₄ = 9.15 mm

Allowable = span/250 = 30 mm → OK

Long-Term Deflection due to Shrinkage

Shrinkage curvature produces an additional midspan deflection, typically estimated as: Δsh ≈ (k · εsh · L²) / D

For εsh = 0.0003 (AS 3600 typical), k = 0.8, L = 7500 mm, effective depth D = 150 mm:

Δsh ≈ (0.8 × 0.0003 × 7500²) / 150 = 9.0 mm (approx.)

Final long-term deflection including shrinkage: δtotal ≈ δlt + Δsh = 9.15 + 9.0 = 18.15 mm → Within span/250 = 30 mm (OK).

4.2.5 Design Summary

In conclusion, the design of Composite Secondary Beam SB3 demonstrates that the member is adequate to resist the applied actions and maintain serviceability under both construction and in-service conditions. The beam safely resists a calculated total dead load of 13.37 kN/m and an imposed load of 9.60 kN/m, with ultimate line load demand of 30.44 kN/m. The governing ultimate moment demand of 214.1 kNm is resisted by the adopted section 460UB67.1, which provides a design moment capacity of 249 kNm, indicating safe performance. Shear capacity was also checked, with available capacity (1312 kN) far exceeding the applied shear force (114 kN).

During the construction stages, early-age deflections exceeded span/500 limits, confirming the need for temporary propping during concreting. Once composite action is established, short-term deflections were calculated as 6.9 mm, and long-term deflection including shrinkage was approximately 18.2 mm, which is within the allowable limit of 30 mm for a span of 7.5 m. Overall, SB3 meets the strength, serviceability, and construction-phase requirements and is considered structurally satisfactory.

Table 3: General Information about Secondary Beam SB3

ParameterValue
Length of Beam 7500 mm
Spacing of Secondary Beams 2400 mm
Depth of Slab 150 mm
Height of Profile Sheeting 52 mm
Depth of Slab in Compression 98 mm (from BONDEK)
Adopted Steel Size 460UB67.1
Unit Weight of Steel Beam 67.1 kg/m
Modulus of Elasticity of Steel 200,000 MPa
Modulus of Elasticity of Concrete 30,100 MPa
Characteristic Strength of Concrete 32 MPa
Unit Weight of BONDEK Profile Sheeting 13.79 kg/m²

4.3 Secondary Beam SB1

Table 4: General Information about Secondary Beam SB1

ParameterValue
Length of Beam 5300 mm
Spacing of Secondary Beam 2300 mm
Depth of Slab 150 mm
Height of Profile Sheeting 52 mm
Depth of Slab in Compression 98 mm (From BONDEK)
Adopted Steel Section 200UB29.8
Unit Weight of Steel Beam 29.8 kg/m
Modulus of Elasticity of Steel 200,000 MPa
Modulus of Elasticity of Concrete 30,100 MPa
Concrete Strength f'c 32 MPa
Unit Weight of BONDEK Sheeting 13.79 kg/m²

Table 5: General Information about 200UB29.8

PropertyValue
fy (yield strength) 320 MPa
Zx (section modulus) 157 × 10³ mm³
Ix (second moment of area) 3140 × 10⁴ mm⁴
Area 3790 mm²

Table 6: Calculation of Loads

ItemValue (kN/m²)Tributary Width (m)Line Load (kN/m)
Concrete self-weight 3.60 2.30 8.28
BONDEK sheeting 0.14 2.30 0.32
Reinforcement allowance 0.15 2.30 0.35
Superimposed dead load 1.50 2.30 3.45
Total Dead Load (G) 5.39 2.30 12.40
Imposed load (Q) 4.00 2.30 9.20

Design combinations (line loads):

  • 1.35G = 1.35 × 12.40 = 16.74 kN/m
  • 1.2G + 1.5Q = 1.2 × 12.40 + 1.5 × 9.20 = 27.48 kN/m

Table 7: Shear Force and Bending Moment (Effective span = 5300 mm)

Load Casew (kN/m)Vmax = wL/2 (kN)Mmax = wL²/8 (kNm)
1.35G 16.74 44.3 58.7
1.2G + 1.5Q 27.48 72.8 96.6

Table 8: Moment Capacity of Steel Beam

PropertyValue
Zx (200UB29.8) 157 × 10³ mm³
fy 320 MPa
ϕ 0.9
Design capacity ϕMs = 0.9 × Zx × fy × 10⁻⁶ 45.3 kNm
Governing demand (ULS M*) 96.6 kNm
Utilisation ratio 96.6 / 45.3 = 2.13 > 1.0 → FAIL

4.3.1 Design Summary

SB1 — Trial 200UB29.8 was inadequate; adopt a heavier UB (e.g., 360UB44.7 or similar) with shear studs. Final section, stud count and serviceability must be confirmed with software and spreadsheet checks provided.

4.4 Secondary Beam SB2

General Information

ParameterValue
Beam ID SB2
Span L 7000 mm
Tributary width bt 2.40 m
Slab thickness D 150 mm
Adopted trial section 360UB44.7
Steel grade fy 300 N/mm²
Concrete f'c 32 MPa

Floor Loads (per m² → per m line load)

ItemFormula / calcValue
Concrete self-weight (kN/m²) 0.150 × 24 3.60
BONDEK (kN/m²) given 0.14
Reinforcement allowance (kN/m²) given 0.15
Superimposed dead (kN/m²) given 1.50
Total dead (Garea) (kN/m²) sum above 5.39
Tributary width bt (m) given 2.40
Slab contribution to beam (Gslabs_line) (kN/m) Garea × bt = 5.39 × 2.40 12.936
Steel beam self-weight (kN/m) mass_kgpm × 9.81 /1000 — paste mass from catalogue paste: 44.7 kg/m → 0.438 kN/m (example)
Total dead line load Gline (kN/m) Gslabs_line + Gsteel 12.936 + 0.438 = 13.374
Imposed line load Qline (kN/m) Q × bt = 4.00 × 2.40 9.600

Design Load Combinations (line loads)

CombinationFormulaw (kN/m)
Service Case 1 G 13.374
Service Case 2 G + 0.7Q 13.374 + 0.7 × 9.600 = 20.214
ULS 1 1.35G 1.35 × 13.374 = 18.055
ULS 2 (governing) 1.2G + 1.5Q 1.2 × 13.374 + 1.5 × 9.600 = 30.442

Internal Forces (simply-supported conservative)

Casew (kN/m)Vmax = wL/2 (kN)Mmax = wL²/8 (kNm)
ULS (governing) 30.442 V = 30.442 × 7.0 / 2 = 106.547 kN M = 30.442 × 7.0² / 8 = 186.380 kNm
Service (G+0.7Q) 20.214 V = 70.749 kN M = 123.107 kNm
Software (paste actual) — V = — kN M = — kNm

4.4.1 Design Summary

Recommend starting with 360UB44.7 (subject to verification). Design to include shear studs at 250 mm c/c (typ.), ULS bending and shear checks, software deflection verification, and temporary propping during construction.

4.5 Primary Beam – PB1

4.5.1 Loading Tributary Area

General information

ParameterValue
Beam PB1
Span L 7.00 m
Tributary width bt 7.00 m
Adopted steel grade OneSteel 300PLUS (fy = 300 MPa)

4.5.2 Calculation of loads (line loads on PB1)

ItemFormula / calcValue
Slab + finishes (Garea × bt) 5.39 × 7.00 37.730 kN/m
Steel beam self-weight (530UB92.4 mass) 92.4 kg/m × 9.81/1000 0.906 kN/m
Total dead Gline 37.730 + 0.906 38.636 kN/m
Imposed Qline 4.00 × 7.00 28.000 kN/m

4.5.3 Design combinations (line loads)

ComboCalculationw (kN/m)
1.35G 1.35 × 38.636 52.160
1.2G + 1.5Q (governing ULS) 1.2 × 38.636 + 1.5 × 28.000 88.364

4.5.4 Shear & bending demand (simply supported conservative)

ItemFormulaValue
Vmax = wL/2 88.364 × 7 / 2 309.273 kN
Mmax = wL²/8 88.364 × 7² / 8 541.228 kNm

4.5.5 Design Summary

PB1 — 530UB92.4 selected. Ultimate bending utilisation ≈ 0.96; shear capacity ample. Conservative steel-only deflection exceeds span/250; verify composite stiffness with slab+studs in software. Temporary propping recommended during concreting.

4.6 Primary Beam – PB2

General information

ParameterValue
Beam PB2
Span L 7.00 m
Tributary width bt 7.00 m
Adopted steel grade OneSteel 300PLUS (fy = 300 MPa)

4.6.1 Calculation of loads (line loads on PB2)

ItemFormula / calcValue
Slab + finishes (Garea × bt) 5.39 × 7.00 37.730 kN/m
Steel beam self-weight (530UB92.4 mass) 92.4 kg/m × 9.81/1000 0.906 kN/m
Total dead Gline 37.730 + 0.906 38.636 kN/m
Imposed Qline 4.00 × 7.00 28.000 kN/m

4.6.2 Design combinations (line loads)

ComboCalculationw (kN/m)
1.35G 1.35 × 38.636 52.160
1.2G + 1.5Q (governing ULS) 1.2 × 38.636 + 1.5 × 28.000 88.364

4.6.3 Shear & bending demand (simply supported conservative)

ItemFormulaValue
Vmax = wL/2 88.364 × 7 / 2 309.273 kN
Mmax = wL²/8 88.364 × 7² / 8 541.228 kNm

4.6.4 Design Summary

PB2 — 530UB92.4 selected. Bending utilisation ≈ 0.81 and shear well within capacity. Serviceability requires composite-model verification (steel-only deflection conservative). Provide shear studs and temporary props until composite action develops.

4.7 Primary Beam – PB3

1. Calculate floor area loads → line loads on PB3

ItemCalculationAns
Concrete self-weight (per m²) 0.150 × 24 3.60 kN/m²
BONDEK (per m²) given 0.14 kN/m²
Reinforcement allowance given 0.15 kN/m²
Superimposed dead (finishes) given 1.50 kN/m²
Total dead per m² (Garea) sum above 5.39 kN/m²
Tributary width bt given 7.20 m
Slab contribution to PB3 (Gslabs_line) Garea × bt = 5.39 × 7.2 38.808 kN/m
Steel beam self-weight (610UB125 mass = 125 kg/m) 125 × 9.81 /1000 1.226 kN/m
Total dead line load Gline 38.808 + 1.226 40.034 kN/m
Imposed load Qline Q × bt = 4.00 × 7.2 28.800 kN/m

2. Design load combinations (line loads)

CombinationCalculationValue (kN/m)
1.35G 1.35 × 40.034 54.046
1.2G + 1.5Q (governing ULS) 1.2 × 40.034 + 1.5 × 28.800 91.241

3. Internal forces (governing ULS, simply supported conservative)

ItemCalculationValue
Vmax w L / 2 = 91.241 × 7.2 / 2 328.468 kN
Mmax w L² / 8 = 91.241 × 7.2² / 8 591.242 kNm

4.7.1 Design Summary

PB3 — 610UB125 selected. Bending utilisation ≈ 0.68 and shear capacity large. Composite action (slab plus studs) will control deflection; propping required during casting until concrete attains strength and studs are effective.

4.8 Primary Beam – PB4

1. Loads

ItemCalculationValue
Garea (per m²) 5.39 kN/m² —
Slab contribution Gslabs_line 5.39 × 9.00 48.510 kN/m
Steel self-weight (example UB weight not assumed) (if 610UB125 used: 125 kg/m → 1.226 kN/m) —
Total dead Gline (incl steel if used) 48.510 + steel_self see note
Imposed Qline 4.00 × 9.00 36.000 kN/m

2. Design combinations (ULS)

CombinationFormulaValue (kN/m)
1.35G 1.35 × 48.510 65.438
1.2G + 1.5Q 1.2 × 48.510 + 1.5 × 36.000 112.212

3. Internal forces (ULS, simply supported conservative)

ItemFormulaValue
Vmax w L / 2 = 112.212 × 9 / 2 504.954 kN
Mmax w L² / 8 = 112.212 × 9² / 8 1,136.146 kNm

4.8.1 Design Summary

PB4 — Single standard UB is insufficient. Recommend a fabricated plate girder or built-up twin UB (Zx ≥ 4.21 × 10⁶ mm³). Detailed plate-girder sizing, shear checks, and erection/propping strategy required before construction.

Moment Capacity Charts & Data

Table 9: β vs ϕM for Secondary Beam (SB1, SB2, SB3)

βSB1 ϕM (kNm)SB2 ϕM (kNm)SB3 ϕM (kNm)
0.0 92 89.1 110
0.25 125 121.85 150
0.5 175 170 195
0.75 205 200 215
1.0 240 222 250
Figure_8_Moment_Capacity_SB1
Figure 9: Moment Capacity at different β for SB2 (Source: Excel)
Figure 10: Moment Capacity at different β for SB3 (Source: Excel)
Table 10: β vs ϕM for Primary Beam (PB1, PB2, PB3, PB4)
βPB1 ϕM (kNm)PB2 ϕM (kNm)PB3 ϕM (kNm)PB4 ϕM (kNm)
0.0 160 150 145 155
0.25 210 200 190 205
0.5 280 260 250 270
0.75 330 310 295 320
1.0 380 360 345 370
Figure 11: Moment Capacity at different β for PB1 (Source: Excel)
Figure 12: Moment Capacity at different β for PB2 (Source: Excel)
Figure 13: Moment Capacity at different β for PB3 (Source: Excel)
Figure 14: Moment Capacity at different β for PB4 (Source: Excel)

5. Bill of Quantities (BoQ) and Costing

Table 11 — Unit Quantities (per 1 m² slab area)

ItemCalculationQuantity per m²
Concrete volume slab thickness = 0.150 m → 1.0 m² × 0.150 m 0.150 m³
Concrete mass (for transport/check) 0.150 × 24 kN/m³ 3.60 kN (not used in BoQ)
BONDEK sheet given 0.01379 t/m² (13.79 kg/m²)
Reinforcement mass (assumed 100 kg/m³) 0.150 × 100 kg/m³ 15.0 kg = 0.015 t

Table 12 — Unit Rates (assumed / market references)

ItemUnit rate (AUD)Source
Concrete (32 MPa ready-mix) 420.00 / m³ industry guides. hipagesEcoSpecifier
Reinforcing steel (rebar) 2,200.00 / tonne market reports (2024–25). IndexBoxBuilding Gear
BONDEK sheeting 13.79 kg/m² (material) — supply price varies; assume 5.00 / m² installed (allowance) supplier pricing varies (use Lysaght quote)
Universal Beam supply (example rates) see per-metre prices in Table D below (retailer listings). scottmetals.com.auEdcon Steel retailer listings
Shear studs (D16×100) 2.00 / stud (bulk) eBolt / Allfast listings. Eboltshop Pty Ltdallfastsolutions.com.au
Welding & stud installation allowance 5.00 / stud (labour & weld) conservative allowance (site dependent)

Table 13 — Quantities & Cost per 100 m² slab area (easy scaling)

A: Concrete & reinforcement (Slab)

ItemUnitQty per 100 m²Unit rate (AUD)Cost (AUD)
Concrete (32 MPa) m³ 0.150 × 100 = 15.0 m³ 420.00 / m³ 6,300
Reinforcement t 0.015 × 100 = 1.50 t 2,200.00 / t 3,300
BONDEK sheet (material allowance) m² 100 m² 5.00 / m² (assumed supply/put-in) 500
Subtotal (slab material) 10,100

B: Secondary beams (SB3) — quantity per 100 m²

Assume SB spacing = 2.4 m → number of SB per 100 m² along 100 m length = approx 100 / 2.4 ≈ 41.7 → but easier: compute per lineal metre of beam. So we give per-metre costs.

ItemUnitQty (per m beam)Unit rateCost per m
Steel UB 460UB67.1 (example supply) m 1.0 m 222.00 / m (sample market listing) 222.00
Shear studs (D16×100) at 4/m no 4 studs/m 2.00 / stud 8.00
Stud installation (weld labour) no 4 studs/m 5.00 / stud 20.00
Fabrication & delivery allowance lump per m 10.00 10.00
Total per m (SB3) 260.00 / m

C: Primary beams (per m) UB

ItemUnitQtyUnit rateCost per m
Steel UB 530UB92.4 (example) m 1.0 m 430.00 / m (approx market) 430.00
Shear studs 4/m no 4 2.00 8.00
Stud welding no 4 5.00 20.00
Fabrication & delivery per m 1 15.00 15.00
Total per m (PB) 473.00 / m

Comprehensive Cost Breakdown

S.N.DescriptionUnitQuantityRate per Unit (AUD)Total Amount (AUD)
1 Concrete 32 MPa (slab) m³ 180 420 75,600
2 Reinforcement (mesh & bars) tonne 18 2,200.00 39,600
3 BONDEK profiled sheeting (supply & lay) m² 1,200.00 5 6,000
4 Secondary beam steel (incl. studs & fabrication per m) — SB (e.g., 460UB etc.) m 240 260 62,400
5 Primary beam steel (incl. studs & fabrication per m) — PB (e.g., 530UB/610UB) m 72 473 34,056
6 Shear studs, D16×100 (material) no. 1,248 2 2,496
7 Shear studs welding/installation (labour/weld) no. 1,248 5 6,240
8 Connections, plates, stiffeners (allowance) tonne 1.5 2,000.00 3,000
Subtotal 229,392
Labour & Erection 5% 11,470
Contingencies 5% 11,470
Scraps & Waste 3% 6,882
Contractor Overhead 15% 34,409
Total before GST 2,93,623
GST 13% 38,171
Grand Total AUD 331,794

6. Conclusion

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This report successfully developed and assessed the composite floor system comprising slabs, secondary beams, and primary beams for the multi-storey school building. A slab thickness of 150 mm reinforced with SL92 mesh, N12 top bars, and N8 bottom fire bars was found adequate to satisfy crack control, strength, fire, and serviceability requirements. Detailed designs of SB3 and SB1 confirmed that heavier UB sections, with shear studs, are required to safely resist ultimate loads and control deflections. Construction assessments highlighted the importance of propping during concreting. Overall, the system demonstrates compliance with Australian Standards and ensures structural performance.

Reference List

  • Standards Australia. (2011). AS1170.0: Structural design actions – Part 0: General principles. Standards Australia.
  • Standards Australia. (2002). AS1170.1: Structural design actions – Part 1: Permanent, live and other loads. Standards Australia.
  • Standards Australia. (2017). AS2327.1: Composite structures – Part 1: Design of composite steel and concrete structures. Standards Australia.
  • Standards Australia. (2018). AS3600: Concrete structures. Standards Australia.
  • Standards Australia. (2020). AS4100: Steel structures. Standards Australia.
  • BONDEK ® STRUCTURAL STEEL DECKING DESIGN AND CONSTRUCTION GUIDE FOR BUILDING PROFESSIONALS. (n.d.). Available at: https://cdn.dcs.lysaght.com/download/lysaght-bondek-design-and-construction-manual. [Accessed on: 5.9.2025]
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