2 kN/m 10 KN Z 4 kN/m 20 KN Z 20 m Figure P1.3 15 m 15 m
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- Given: H 8kips K, ZK. 1- 20° R₁ RIGID Find: R K₂ 777 R₂ 20¹ K₁ = K₁₂ = K₂ = 1 KIP/in , R₂, Rs K3 R3a = 1 m b = 5 m c = 6 m d=1m e = 3 m P₁ = 34 kPa P₂ = 46 kPa P3 = 57 kPa P4 = 26 kPa P5 = 6 kPa (kN \m². (kN m² kN P6 = 117 kPa kN - 1m² kNy \m² kN P₁ P4 a 4. Ry= 5. R= P₂ b P6 KN KN KN B P5 P₂ The L-shaped retaining wall shown retains soil on the right side and water on the left side is to be analyzed. Fluid pressure is shown with bottom pressure equal to P₁ acting on the left side of the wall. Soil pressure is also shown with bottom pressures P2 and P3, acting on the right sides of the wall. Trapezoidal uplift pressure due to seepage is acting at the bottom of the wall with pressure P4 on the side of the water (on point A) and Ps on point B. The horizontal part of the wall is also subjected to the weight of the soil above it with magnitude P6. The wall is made of concrete with unit weight 23.5 kN/m³. Assume 1 meter width for the analysis and include the self-weight of the structure. P3 Calculate the magnitude and location of the resultant of uplift pressure. 1. Magnitude = kN 2.…H.W: draw the I.L for RA, RC, RF, RD, MD, VCL, VG and MG. A 2 m B -2 m C G 0.4 m 1.6 m D 2 m- E 2 m LL
- Designation Serial size 457x191 ■ Calculate the design tension resistance of the 457 × 191 × 67 UB. Given information from steel section table (assuming S275): Axis y-y cm³ 1296 67 Elastic modulus Wel Axis Z-Z cm³ 153 Mass per metre kg/m 67.1 Depth of section h mm 453.4 Width of section b mm 189.9 Plastic modulus Wpl Axis y-y cm³ 1471 Axis Z-Z cm³ 237 Thickness Thickness Root of web of flange radius tw tf mm r mm mm 8.5 12.7 Buckling parameter U 0.872 Torsional index X 37.9 10.2 Depth between fillets d mm 407.6 Ratios for local buckling Flange Web Cf/tf Cw/tw dm6 0.705 6.34 Warping Torsional constant lw constant IT cm4 37.1 48.0 Area of section cm² 85.5 Second moment of area Axis y-y cm4 29380 Axis Z-Z cm4 kNm 522 1452 Indicative values for S355 steel Mc.y.Rd Nb.z.Rd* for Lcr=3.5m kN 1600 Radius of gyration i Axis y-y cm 18.5 Axis Z-Z cm 4.12; Designation Serial size 67 457x191Convert the properties of your assigned AASHTO I-beams to Sl units. B1 BI Assigned AASHTO I-beam Туре 1 Туре 2 Group No. D2 1 D3 D2 2 D4 B3 B4 B5 Туре 3 Туре 4 Туре 5 Туре 6 B3 B4 4 DI B6 B6 D5 D6 DS Туре 1 Туре 2 8 B2 D6 Туре 1-IV Dimensions (inches) Type V-VI Туре D1 D2 D3 D4 D5 D6 B1 B2 B3 B4 B5 B6 28 4 3 5 5 12 16 6 3 5 II 36 3 6 6 12 18 6 3 6 III 45 4.5 7.5 7 16 22 7 4.5 7.5 IV 54 8. 6 8. 20 26 8 6. 9 V 63 4 10 8. 42 28 8 4 13 10 VI 72 5 3 4 10 8 42 28 8 4 13 10 Properties: Area in.? Inertia Ybottom in. Weight kip/ft Туре in. 276 12.59 22,750 0.287 II 369 15.83 50,980 0.384 III 560 20.27 125,390 0.583 IV 789 24.73 260,730 0.822 V 1,013 31.96 521,180 1.055 VI 1,085 36.38 733,320 1.13 67DETERMINE THE CENTROIDAL MOMENT OF INERTIA OF THE BUILT-UP SECTION SHOWN USING A STEEL PLATE 1"X16" AND C-12X25 STEEL SECTION WELDED TOGETHER. REFER TO THE TABLLE BELOW FOR THE PROPERTIES 12 Type EDSM Nomenciature AISC Manual Label C15X50 14.7 3.72 3.52 3.40 15.0 8716 0.799 404 11.0 17 C1SK40 C15X40 118 10.0 150 0520 0.400 0510 0650 0.650 0.501 0.501 0.501 0.778 348 315 C15K339 15.0 120 0.788 .07 C1200 C12X25 C12207 C1200 8.01 7.34 3.17 0.674 162 5.12 C1228 C12207 12.0 3.05 234 0.674 144 445 12.0 0.282 129 3.05 1. Determine Ixx (Centroidal) Not in the choices [Select] 1987.6 2. Determine lyy (Centroidal) 1642.67 Not in the choices 1612.7 1752.5
- Hw: Find the Sslope and defletion in the section CA-A) and the section cB-B) fur the beam Showwn. Given, I = 5*l-"m4 aued Es 205 G Pa. A 2 kulm Im 2.5 m Im AIntegrate the following: ,S (xª – 5x³ + 6) dx - 1. 6. su(1 – dx 2.Compute the compressive strength of a WT 12x81 of A992 steel. The effective length with respect to the x-axis is 25 feet 7inches, the effective length with respect to the y axis is 20feet, and the effective length with respect to the z-axis is 20 feet WT12X81 A 23.9 t₁ 1.22 ly 221 d 12.5 K des 1.72 J 9.22 b₁ 13.0 y 2.70 Cw 43.8 tw 0.705 Ix 293
- For the given properties of the beam below, determine the safest wy that the beam will carry. bf = 850mm bw = 400mm tf = 100mm d = 400mm ニ d' = 100mm fc' = 32MPA %3D fy = 400MPA As = 8 - 32mm bars ニ The answer is kN/m Pu = 20 KN %3D bf 3Pu O-50 Pu 七キ Wu 5m As 13 + bw *Determine F4 and-e if the Fr = 880N and-e = 75deg S of w F4 F2 = 568N 3 F1 = 780N 72deg F3 = 350N 5.500 mm 62.5 mm 375 mm 62.5 mm P. Determine the total required number of 20mm bars to be used in two end faces only for the 300mm x 500mm rectangular column shown to support the following loads: Pu = 800 kN Mu = 120 kN-m Use f'c = 20.7 MPa and fy = 413.7 MPa Use 1 ksi = 6.893 MPa %3D 300 mm O O O O