CONCRETE INDUSTRIAL GROUND FLOOR SLAB
DESIGN
In accordance with TR34, 4th Edition 2013
Design summary Load 1 -
UDL 50 kN/m2
Description Unit Provided Required Utilisation Result
Slab capacity in flexure kN/m2 50.9 50.0 0.982 PASS
Slab details
Reinforcement type Steel bar
Concrete class C25
Slab thickness h = 150 mm
Residual strength at CMOD 0.5 fR,1 = 2.200 N/mm2
Residual strength at CMOD 1.5 fR,2 = 2.000 N/mm2
Residual strength at CMOD 2.5 fR,3 = 1.800 N/mm2
Residual strength at CMOD 3.5 fR,4 = 1.500 N/mm2
Mean axial tensile strength relating to CMOD 0.5 r1 = 0.45 fR,1 = 0.990 N/mm2
Mean axial tensile strength relating to CMOD 3.5 r4 = 0.37 fR,4 = 0.555 N/mm2
Characteristic strength of reinforcement fyk = 415 N/mm2
Diameter of reinforcement; s = 8 mm
Spacing of reinforcement; ss = 200 mm
Area of bottom steel provided As,prov = 251 mm2/m
Nominal cover cnom_b = 54 mm
Effective depth of reinforcement d = h - cnom_b - s = 88 mm
Partial safety factors
Concrete (with or without fibre) c = 1.50
Reinforcement (bar or fabric) s = 1.15
Permanent; G = 1.20
Variable Q = 1.50
Dynamic loads D = 1.60
Subgrade reaction
Modulus of subgrade reaction k = 0.030 N/mm3
Concrete details - Table 6.1. Strength properties for concrete
Characteristic compressive cylinder strength fck = 25 N/mm2
Characteristic compressive cube strength fcu = 30
N/mm2
Mean value of compressive cylinder strength fcm = fck + 8 N/mm2 = 33 N/mm2
Mean value of axial tensile strength fctm = 0.3 N/mm2 (fck/ 1 N/mm2)2/3 = 2.6
N/mm2 Flexural tensile strength fctd,fl = fctm (1.6 - h / 1m) / c = 2.5 N/mm2
Design concrete compressive strength (cylinder) fcd = fck / c = 16.7 N/mm2
Secant modulus of elasticity of concrete Ecm = 22 kN/mm2[fcm/ 10 N/mm2]0.3 = 31
kN/mm2 Poisons ratio = 0.2
Radius of relative stiffness (Eqn. 20) l = [Ecm h3 / (12 (1 - 2) k)]0.25 = 745
mm Characteristic of system (Eqn. 33) = (3 k / (Ecm h3))0.25 = 0.959 m-1
Moment capacity
Depth to neutral axis (found by iteration) hux = 13.2 mm
Negative moment capacity (Eqn. 2) Mn = Mun = fctd,fl (h2 / 6) = 9.3 kNm/m
Positive moment capacity (Eqn. 10) Mp = Mu_fib,As = (0.5 (r1 - r4) (h - hux) (0.28 hux + 0.33 h)) / c + (r4
(h - hux) (0.11 hux + 0.5 h)) / c + (As,prov fyk (d - 0.39 hux)) / s =12.4
kNm/m
Ratio of cracked to uncracked mnt of resist (cl.7.4) Mp / Mn = 1.338
PASS - Ratio of cracked to uncracked moment of resistance is greater or equal to 0.5
Load 1 - UDL 50 kN/m2
1637
Maximum positive bending moment loading pattern
3275
1637 3275
Maximum negative bending moment loading pattern
Working load capacity of UDL
UDL Uk = 50.0 kN/m2
Critical aisle width lcrit = / (2 ) = 1637 mm
Loaded width of single UDL (max positive moment); lload_p = / (2 ) = 1637 mm
Loaded width of dual UDL (max nagative moment) lload_n = / = 3275 mm
Working load capcity of slab q = 5.95 2 Mn = 50.9
kN/m2
Utilisation Uk / q = 0.982
PASS - Total slab capacity exceeds applied load