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Term project "Design of Slab Formwork"
1.
CB523 TERM PROJECT ENG. ESRAA
HUSSEIN MOHAMED
2.
Addextra(X*10)cmtoeachdimensionforall spacingbetweenX-Axis. Add extra (Y*10)
cm to each dimension for all spacing between Y-Axis W2 W1 C1 C1 C1 C2 C2C3C2 C2 C3 C3 C3 C3 ID: 14104622 X Y Z M4.3 4.14.24.4 3.89 2.06 2.79 1.72 3.25
3.
• W =
2300 + (10 * M) = 2300 + (10 * 2) = 2320 Kg/m3 • W1= w * ts = 2320*10-2 *20 * 10-2 = 4.64 KPa • W2= 15 PSF * 0.048 = 0.72 KPa • W3= 50 PSF *0.048 = 2.4 KPa • Design load (WT) = W1+ W2+ W3 = 4.64 + 0.72 + 2.4 = 7.76 KPa > 4.8 KPa (100 PSF*0.048) • Sheathing load = Design load * 1m = 7.76 * 1= 7.76 KN/m • Plywood thickness if (M< = 4) = ( 4 + M ) / 8 if (M> 4) = ( M ) / 8 M= 2 à Plywood thickness ( 4 + 2 ) / 8 Plywood thickness 6/ 8 = ¾ Plywood thickness 6/ 8 = ¾ *2.54 cm *10 mm = 19.05 mm ID: 14104622 X Y Z M
4.
Plywood thickness =19.05
mm , Sheathing load = 7.76 KN/m • FbKS = 326 * 103 • Fslb/Q = 7.55 * 103 • EI = 2810 * 109 • Lbending = 3.16( FbKS ! )1/2 = 3.16( 326 ∗ 103 !.!# )1/2 = 647.69 mm • Lshear = 1.67( Fslb/Q ! ) + 2d = 1.67( 7.55 ∗ 103 !.!# ) + (2*19.05) = 1662.91 mm • Ldefection = "#.% &''' ( EI ! )1/3 = "#.% &''' ( 2810 ∗ 109 !.!# )1/3 = 526.02 mm • Ljoist = 526.02 mm /10 = 52.6 cm = 50 cm Design of Sheathing
5.
• Joist load
= 7.76 * 0.5 = 3.88 KN/m • Lbending = &'' &''' ( FbS ! )1/2 = &'' &''' ( 9998∗123900 $.%% )1/2 = 1786.8 mm • Lshear = &.&& &''' ( Fv A ! ) + 2d = &.&& &''' ( 1276 ∗ 5323 $.%% ) + (2*140) = 2223.11 mm • Ldefection = "#.% &''' ( EI ! )1/3 = "#.% &''' ( 11.7∗106 ∗ 8.656∗106 $.%% )1/3 = 2189.17 mm • Lstringer= 1786.17 mm /10 = 178.62 cm = 175 cm Design of Joist 2”*6” Douglas Fir B= 38mm D=140mm
6.
• Stringer load
= 7.76 * 1.75 = 13.58 KN/m • Lbending = &'' &''' ( FbS ! )1/2 = &'' &''' ( 9998∗215300 &$.'% )1/2 = 1259.01 mm • Lshear = &.&& &''' ( Fv A ! ) + 2d = &.&& &''' ( 1276 ∗ 7016 &$.'% ) + (2*184) = 1099.75 mm • Ldefection = "#.% &''' ( EI ! )1/3 = "#.% &''' ( 11.7∗106 ∗ 19.83∗106 &$.'% )1/3 = 1900.75 mm • Lshore = 1099.75 mm /10 = 109.975 cm = 105 cm Design of Stringer 2”*8” Douglas Fir B= 38mm D=184mm
7.
Ljoist =50 cm
Lstringer= 175 cm Lshore = 105 cm Check of bearing 1. Between Joist and Stringer : Load= Design load * LJoist * Lstringer = 7.76 * 0.5 * 1.75= 6.79 KN Area= BJoist * Bstringer = 38 * 38 = 1444 mm2 Stress = Load / Area = 6.79/ (1444*10-6) = 4702.22 KPa > Fc⏊= 2655 KN/m2 “ Un safe ” Lstringer new= 0.95 m
8.
• Stringer load
= 7.76 * 0.95 = 7.372 KN/m • Lbending = &'' &''' ( FbS ! )1/2 = &'' &''' ( 9998∗215300 !.$!( )1/2 = 1708.78 mm • Lshear = &.&& &''' ( Fv A ! ) + 2d = &.&& &''' ( 1276 ∗ 7016 !.$!( ) + (2*184) = 1715.96 mm • Ldefection = "#.% &''' ( EI ! )1/3 = "#.% &''' ( 11.7∗106 ∗ 19.83∗106 !.$!( )1/3 = 2330.04 mm • Lshore = 1708.78 mm /10 = 170.88 cm = 170 cm Design of Stringer 2”*8” Douglas Fir B= 38mm D=184mm
9.
Check of bearing 2.
Between Stringer and Shore : Load= Design load * Lstringer* Lshore = 7.76 * 0.95 * 1.7 = 12.53 KN Area= Bstringer * Bshore = 38 *89 = 3382 mm2 Stress = Load / Area = 12.53 / (3382*10-6) = 3704.91 KPa > Fc⏊= 2655 KN/m2 “ Un safe ” Lshore new= 1.2 m
10.
Ljoist = 50
cm Lstringer= 95 cm Lshore = 120 cm Check shore safety Load= Design load * Lstringer * Lshore = 7.76 * 0.95 * 1.2= 8.85 KN Area= Bshore * Bshore = 89 *89 = 7921 mm2 Stress = Load / Area = 8.85/ (7921*10-6) = 1117.28 KPa < Fc = 6895 KN/m2 “ safe ” Final Design:-
11.
THANK YOU
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