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Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM
OF DPS-STS SCHOOL (SENIOR SECTION)
OF STS GROUP
Revision History
0 Revision-0 (Original Issue ID:STS-01) 22.09.2015
Rev. Revision information Date
Originated and Prepared by Approved by
Engr. Sanjida Alam Sharna,BSc in Civil.
Mohammad Mahfuzur Rahman,MSc in Civil & Structural
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Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
SEP, 2015
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Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
1.0 SUMMARY
The structural design of Steel roofing system on DPS-STS School (Senior Section) of STS-GROUP, submitted by DOMINAGE STEEL BUILDING SYSTEMS (PVT) LTD (STS-Vendor) at JR,CaseroTower (11th Floor), 46,Mohakhali Comercial Area, Dhaka -1212 has found safe under all design load and load combination.
Design code is AISC ASD. Maximum allowed stress ratio is 1.33. Steel member tensile stress is 50ksi (ASTM A572). Ancholr bolt grade is 60ksi (Minimum). Concretr fc’ (Minimum) : 3500psi.
Recommendations along with necessary suggestions has made in drawing (i.e Weld data, Bolt grade, Stiffener requirement in main beam has written and shown in drawing seperately). Necessary corrections in the drawing has made and signed herewith.
2.0 SCOPE OF THE WORK:
Study of the design provided by one of STS-Group vendors including model, load schedule, structural drawing of steel roofing system in CAD.Study of project architectural drawings of the auditorium.Study of RC support system of the auditorium.Checking safety system of roof structures (Truss, Sub-beam, Bracing, purling, stiffener, roof sheeting etc.) with respect to wind & seismic load along with dead & live loads.Checking joint detailing with welded length & size along with specification of electrodes.Checking anchoring system (the size & no. of anchor bolts as well as the specification of bolts).Checking resistance adequacy of RC supporting members.
Deliverables:Recommendations along with necessary suggestions.Providing necessary corrections in the drawing.Corrected drawings.
3.0 STEEL STRUCTURE DESIGN CHECKING
Steel roofing system of DPS-STS SCHOOL (SENIOR SECTION) has designed using AISC AS Dcode. Steel fy is 50ksi. Maximum allowed design stress ratio is 1.33.
Loads (Dead, Live and Wind loads)Common Values
Cc 0.0000472 Ci 1
Vb 210 Cg 1.309 Exp-A
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Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
Width 1 8.00 mWidth 1 1.25 m
Total (kN/m)
DL 1 1.44 kN/m2 11.52DL 2 4.18 kN/m2 5.23LL 1 1.20 kN/m2 9.60LL 2 1.2 kN/m2 1.50
4.0 LOAD (LOAD UNIT: KN, METER):
Figure: Dead load on the structure (kN-m)
Figure: Live load on the structure (kN-m)
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Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
Figure: Wind load on the structure (kN-m)
5.0 MEMBER CAAPCITY & DESIGN STRESS RATIO
Figure: Design stress ratio.
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Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
Figure: Design stress ratio (Blow-up).
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Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
6.0 MEMBER & CONNECTION / JOINT DESIGN CALCULATION
(A) MAIN BEAM
Member Forces
Figure: Moment diagram
Figure: Moment Values (Load Case 7: kip-ft)
Figure: Axial Force Values (Load Case 7: kip-ft
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Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
Input Data: 750 10 450 25 Member Data: Member Properties: Y
d = 29.528 A = 45.73 in.^2 tw = 0.394 d = 29.53 in. bf = 17.717 tw = 0.39 in. tf = 0.984 bf = 17.72 in.
tf = 0.98 in.
Member Loadings: rt = 4.87 in. d = 29.5275590551181
X
P = 25.00 d/Af = 1.69
Mx = 540.00 Ix = 7792.89 in.^4
My = 0.00 Sx = 527.84 in.^3
rx = 13.05 in. bf = 17.7165354330709
Design Parameters: Iy = 912.34 in.^4
Fy = 50.00 Sy = 102.99 in.^3 Built-Up SectionKx = 1.00 ry = 4.47 in. Qs = 1.000Ky = 1.00 wt./ft. = 155.59 lbs./ft. Qa = 1.000Lx = 65.000 Ly = 20.000 Lb = 20.000 Cb = 1.70
Cmx = 0.85 Cmy = 0.85 ASIF = 1.000
Results:
For Axial Compression:For X-axis Bending: For Y-axis Bending:
Kx*Lx/rx = 59.75 Lc = 15.87 ft. fby = 0.00Ky*Ly/ry = 53.73 Lu = 19.69 ft. Fby = 37.50
Cc = 107.00 Lb/rt = 49.30 Mry = 321.85fa = 0.55 fbx = 12.28 ksi
Fa = 22.76 Fbx = 30.00 ksi Pa = 1040.72 Mrx = 1319.60 ft-kips
X-axis Euler Stress: Y-axis Euler Stress:
F'ex = 41.83 ksi F'ey = 51.73
S.R. = 0.433
(B) SUB BEAM
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Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
Member Data: Member Properties:
d = 12.795 in. A = 6.73 in.^2
tw = 0.197 in. d = 12.80 in.
bf = 6.890 in. tw = 0.20 in.
tf = 0.315 in. bf = 6.89 in.
tf = 0.31 in.
Member Loadings: rt = 1.83 in.
P = 4.00 kips d/Af = 5.90
Mx = 55.00 ft-kips Ix = 198.57 in.^4
My = 0.00 ft-kips Sx = 31.04 in.^3
rx = 5.43 in.
Design Parameters: Iy = 17.18 in.^4
Fy = 50.00 ksi Sy = 4.99 in.^3
Kx = 1.00 ry = 1.60 in.
Ky = 1.00 wt./ft. = 22.92 lbs./ft.
Lx = 30.000 ft. Ly = 10.000 ft. Lb = 10.000 ft. Cb = 1.70
Cmx = 0.85 Cmy = 0.85 ASIF = 1.000
Results: For Axial Compression:
For X-axis Bending:
Kx*Lx/rx = 66.30 Lc = 5.65 ft.
Ky*Ly/ry = 75.14 Lu = 6.88 ft.
Cc = 107.00 Lb/rt = 65.64 fa = 0.59 ksi fbx = 21.26 ksi
Fa = 19.97 ksi Fbx = 29.19 ksi
Pa = 134.47 kips Mrx = 75.50 ft-kips
X-axis Euler Stress:
F'ex = 33.97 ksi
Stress Ratio:
S.R. = 0.758Eqn. H1-3
CONNECTION DESIGN
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Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
A) Base Plate & Welding calculation
Load Name Developed Load
Permissible Load from Excel Calculation
Comments
Tension 220kN 93.31*16 No Bolt = 1492 kN SAFE
Compression 220kN 93.31*16 No Bolt = 1492 kN SAFE
Shear 105kN 48.07*16 No Bolt = 770 kN SAFE
Moment 460kN Moment has converted to Compression & tension force by code specified calculation.
SAFE
Welding DataWelding Amount (Provided)
Welding Amount (Required)
13mm 1.03mm
Controlling Forces
Horizontal Shear (V) = 105 kN
Vertical (P) = 220 kN
Moment (M) = 460 kNm
Column Section
Grade = A572
Tensile Strength (Fu) = 59.85 kN/cm2
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Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
Yeild Stress (Fy) = 45.89 kN/cm2
Width Thk.
Top Flange (bf1) (tf1) = 520 25 mm
Web (dw) (tw) = 760 10 mm
Bottom Flange (bf2) (tf2) = 520 25 mm
Connection Details
Connection Code = STS1
Bolt Grade = A572
Tensile Strength (Fu) = 59.85 kN/cm2
Allowable Tensile Stress (Ft) = 19.75 kN/cm2
Allowable Shear Stress (Fv) = 10.17 kN/cm2
Bolt Diameter (db) = 30 mm
Number of Bolts (n) = 16 mmBolt Center to Flange Outside
(Cw) =10 mm
Bolt Center to Plate Edge (ed1) = 10 mm (Along Length)
Bolt Center to Plate Edge (ed2) = 10 mm (Along Width)
Bolt Pitch (p) = 10 mm
Bolt Gauge (g) = 200 mm
Base Plate Length (N) = 870 mm
Base Plate Width (B) = 520 mmDistance Edge to CG of Bolts (m)
=20 mm
Bolt CG to Center of Column (f) = 415 mm
Estimate
Weight of Connection Plates = 162.52 kgs.
Weight of Anchor Bolts = 98.11 kgs.
260.63 kgs.
Concrete Data
Mix Grade = M25
Compressive Strength (fc') = 2.50 kN/cm2
Weld Data
For E70XX Electrode (Fu) = 48.23 kN/cm2
Allowable Stress in weld = 0.3 x Fu kN/cm2
Allowable Stress in weld (Fw) = 14.47 kN/cm2
Anchor Bolt
Force in Bolt Group = P / 2 ± M / ( dw + tf1 / 2 + tf2 / 2 )
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b
Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
Compression (C) = 695.99 kN
Tension (T) = 475.99 kN
Force per Bolt
Compression / Bolt (Cb) = 87.00 kN 2 C / n
Tension / Bolt (Tb) = 59.50 kN 2 T / n
Shear / Bolt = 6.56 kN V / n
Compression Capacity = 93.31 kN Fc x Ab
Tensile Capacity = 93.31 kN Ft x Ab
Shear Capacity = 48.07 kN Fv x Ab
Pull Out Capacity = 70.73 kN [ ( p x db ) x Le ] x u x n
Calculated Shear Stress / Bolt (fv) =
0.93 kN/cm2 V / Ab n
Allowable Tensile Stress with Shear (Ts) =
13.20 kN/cm2 [ ( 0.43 Fu ) - ( 1.8 fv ) ]
Tension Capacity with Shear = 93.31 kN Ts x Ab x n
Base Plate
Dimension (a) = 100 mm g / 2
Dimension (b) = 10 mm Cw
Bolt Force to Flange = a3 / ( a3 + b3 ) x Tb
Bolt Force to Flange (Pfb) = 86.91 kNEffective width along Flange (bfm)
=20 mm 2 Cw
Moment (Mf) = 0.87 kNm Pfb x Cw
Plate Thickness Required (tp) = sqrt ( 6 M / 0.75 Fy bfm )
Plate Thickness Required (tp) = 31.74 mm Use Allowable Tensile Stress in Flange
=20.70 kN/cm2
Total Force in Flange (Pf) = 695.29 kNCalculated Tensile Stress in
Flange =5.35 kN/cm2 Pf / ( bf x tf )
Size of Flange Fillet Weld Required =
6.54 mmPf / ( 0.707 x Fw x 2 x bf )
Bolt Force to Web / Gusset = b3 / ( a3 + b3 ) x Tb
Bolt Force to Web / Gusset (Pwb) = 0.09 kN
Effective width along Web (bwm) = 200 mm
Moment (Mw) = 0.01 kNm
Plate Thickness Required (tp) = sqrt ( 6 M / 0.75 Fy bwm )
Plate Thickness Required (tp) = 1.00 mm Use
Total Force in Web / Gusset (Pw) = 0.17 kN
Web Tension Stress = Pw / ( tw x bwm )
Web Tension Stress = 0.01 kN/cm2 Pw / ( bwm x tw )
Size of Web Fillet Weld Required 0.00 mm Pw / ( 0.707 x Fw x 2 x
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Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
= bwm )Gusset Plate
Tension Side Flange Gusset
Thickness (ts) = 25 mm
Height (hs) = 250 mm
Length (ls) = 20 mm
Angle (ø) = 85.43 Deg
Dimension (D1) = 15 mm
Tension Force in Gusset (Pg) =Pw / Sin
øTension Force in Gusset (Pg) = 0.17 kN
Calculated Tensile Stress = Pg / [ ts x D1 x ( Sin ø )2 ]
Calculated Tensile Stress = 0.05 kN/cm2 Pg / [ ts x D1 x ( Sin ø
)2 ]
Compression Side Flange Gusset
Effective Length (Ls) = 242.82 mm
Effective width (De) = 14.95 mm
Effective Area (As) = 3.74 cm2
Ixx = 0.70 cm4 D1 x Sin ø
rxx = 0.43 cm De x ts
k = 0.75 ts x De3 / 12
k Ls / r = 42.19 sqrt ( Ixx / As )
Allowable Compressive Stress = 23.42 kN/cm2
Compression Force in Gusset (Pg) =
0.17 kN
Calculated Compressive Stress = Pg / ( ts x D1 x ( Sin ø )2
Calculated Compressive Stress = 0.05 kN/cm2
Welds to Flange Gusset
Effective Length of Weld (Lw) = 2 D1
Effective Length of Weld (Lw) = 30 mmSize of Gusset Fillet Weld
Required =0.92 mm
Welds to Column Web for Shear
Effective Length of Weld (Lu) = 750 mmSize of Web Fillet Weld Required
=1.03 mm
B) END PLATE MOMENT CONNECTION
Desing Loads
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Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
Picture: Moment value for DL+LL combination (Unt: kN-m)
Picture: Axial force value for DL+LL combination (Unt: kN-m)
Picture: Shear force value for DL+LL combination (Unt: kN-m)
Connection Calculation
Moment End-Plate Connection Design (Flush Type)Owner: TCS Page 14 of 19
Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
Design Forces
Design Moment M = 30 kNm 266 k-in
Design Shear V = 7 kN1.57 kips
Axial force P = 75 kN16.86
kips*-*ve for comression and *+*ve for tension
Consider
End-late material yield stress, Fpy= 275 N/mm^2 39.9 ksiAllowable shear stress of bolts= 72 N/mm^2 10.4 ksi
Nominal Tensile strength of Bolts, Ft= 785 N/mm^2 90.0 ksi ,90 ksi for A 325, 113 ksi for A490φ= 0.75
φb= 0.90
Geometric Design Data
Width of flange, bf = 140.00 mm5.51 inch
End plate width, bp = 175.00 mm6.89 inch
Thickness of flange, tf = 5.00 mm0.20 inch
Bolt gage, g = 140.00 mm5.51 inch
pf = 60.00 mm2.362
inch
pb = 100.00 mm3.94 inch
h= 350.00 mm13.78
inch
Web thickness, tw 4.00 mm0.16 inch
Number of rows of bolt,n = 4 (Max, n=10)
∑dn= 530 mm 20.87 inch
h1= 285 mm 11.2 inch
hn= -18 mm -0.7 inch
γr = 1.25 for flush connections
Maxial= P/2*(h-tf)
= 13 kNm 114.51 k-in
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Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
M= M+Maxial
= 43 kNm 380 kips
Mu= 1.5*(M+Maxial)
= 64 kNm 570.1 k-in
Flange Force, Ff= M/(h-tf)= 121 kN 27.19 kips
1. required bolt dia, db,req
= (2*Mu /(∏*φ*Ft*∑dn))^0.5= 12.9 mm 0.508 inch
Acceted, db = 13 mm 0.5 inch
2. Solve for end plate thickness, tp,reqd,
s= 1/2*(bp*g)^0.5= 78 mm 3.08 inch
pf = 60.00 mm 2.36 inch ≤ sY= bp/2*(h1/pf+h2/s)+2/g*(h1*(pf+0.75pb)+h2*(s+0.25*pb)) + g/2
= 1588 mm 62.5 inch
Pt= ∏*db2*Ft/4
= 82 kN 18.52 kips
φMnp= φ(2*Pt*(∑dn))= 57 kNm 508.5 k-in
tp,reqd = sqrt(1.1*γr*(φMnp)/(φb*Fpy*Y))= 14.2 mm 0.558 inch
Use, tp = 15.0 mm 3. Check for Shear
Shear per bolt (V/(2*n)) = 0.20 kips 1 kN
Shear capacity per bolt = 2.15 kips 10 kN≥ Applied shear per bolt ok
4. Weld designa) Top Flange to end plate weld
Dreqd= Ff/((2*(bf -tf)-tw)*0.928)= 2.8 sixteenths
Use 3 /16 inch fillet welds
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Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
b) Beam web to end plate weld
D= 0.6*Fy*tw/(2*0.928)2.03 sixteenths
Use 3 /16 inch fillet welds
Provided Bolt Dia: 8-16dia boltProvided end plate thickness: 15mm
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Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
STEEL STRUCTURE AT ROOF:
Steel structure at roof needs bracig. Bracing arrangement has been added in APPENDIX B.
6.0 CONCLUDING REMARKS
The structure was modeled using 3-D computer program ETABS and designed for all possible load combinations. The following observations have been done.
The maximum unfactored top deflection is 2.0inch which is less than the allowable limit of 2.7inch. Hence it is safe and stable from deflection point of view.
The factory has a basement floor 6 ft below the road level. The foundation of the factory building is on 24” thick raft foundation on the left portion. The punching shear stress in the raft is 93 psi, which is less than allowable punching shear stress 109 psi for concrete strength 3000 psi (i.e Actual core test data was 3390psi). The reinforcement provided in the mat foundation is also found satisfactorily from flexural moment. It has a pile foundation part as well, that has also found safe from all load and load combination.Pile foundation is on 18” dia 45 ft long piles, pile cap with 12” thick basement floor slab, that acting together, will be enough to carry the load from above.
The reinforcement provided at ground floor columns are found adequate for all columns except few as marked in section 5.7. Those underreinforced column will be strengthened. Provided reinforcement in all columns at other floor levels are also found more than the required reinforcement.
The typical floor roof slab is flat slab and two way beam supported slab. The maximum panel size is 21’-4” x 15’-0” and the thickness provided 8” is adequate as per BNBC / ACI Code. For smaller panel sizes, provided thickness is adequate. The reinforcement provided in typical floor roof slab is different in different location which is adequate forom design point of view. Slab punching check also shows satisfactory as per ACI code. Required beam reinforce is less than provided reinforcement.
REFERENCESBNBC (2006), Bangladesh National Building Code (BNBC), Dhaka, Bangladesh.ACI (1999), “Building Code Requirements for Structural Concrete”, ACI 318-99, American Concrete Institute, Detroit, USA.
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Consultant THE CIVIL AND STRUCTURESTitle STRUCTURAL ASSESSMENT OFSTEEL ROOFING SYSTEM OF DPS-STS SCHOOL (SENIOR
SECTION) OF STS GROUP
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