When trying to find By, it is recommended I consider the moment equilibrium of BC about C, how does one go about that?
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When trying to find By, it is recommended I consider the moment equilibrium of BC about C, how does one go about that?
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- There is a statically indeterminate beam in which the horizontal force at the left and right ends (points A and D) is zero, and the vertical force is shown in the figure below, The flexural stiffness of the beam section is constant El: Try to find the slope (Slope) of point B after deformation.a = 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.…S ( x³ + 4x² ) dx 1. (e –1) dx (e +1) 2.
- Convert 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 67Designation 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 457x1914.5.12 OIC Section Properties Write functions for A, I, c, radius of gyration. Each function works for the three sections below. Example Function name: OICSEC_A() • OICSec_() Etc. 을 + 12 BIP - bhs V, 12(BII-bh) BII -- bha 6/1 - 8
- GIVEN: Cantilever beam and its reactions REQ'D: A) Draw V and M diagrams using relationships and indicate Vmax and Mmax i0k l45k.ft 150 k-ft 6ft -9 ft- 25k V M.DETERMINE 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 1752.5Compute 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 bf 13.0 y 2.70 Cw 43.8 tw 0.705 293
- 5.13 The shallow foundation shown in Figure 5.29 measures 1.5 mx 2.25 m and is subjected to a centric load and a moment. If e, = 0.12 m, e, = 0.36, and the depth of the foundation is 0.8 m, determine the allowable load the foun- dation can carry. Use a factor of safety of 4. For the soil, we are told that the unit weight y = 17 kN/m³, friction angle o'= 35°, and cohesion c' = 0.en 1 The cross-section of a beam is as shown below, then the section modulus (S) of the section is: ed out of uestion N - A d. b. (Approx 2 Min) O bd³/6 O bd?/6 O bd/12 O bd?/12For the following items, assume: P = 66 (KN) w = 9 (kN/m) L = 5 (m) ITEM 1: SHEAR AND MOMENT OF BEAMS Solve for the shear and moment equations of the following beams using "long method". Draw the corresponding shear and moment diagrams. Write the values of the maximum shear and moments in the diagrams. P /1.5m / W 6m Beam 1 P -1.5m-/