Solve the following questions, show your solution and box your final answer. 1m. 1m. P SITUATION 1. Given that P = 3000 N and Q = 1000N in the figure 肉 HA 1.5m 1. Determine the force in member CD 2. Determine the force in member Jk 3. If CD = 6000 N and GD = 1000 N B. 1.5m (both under compression) determine the value of P. 1.5m
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- PROBLEM 1: The homogeneous structure shown weighs 21.45 kN per square meter of cross-section. The structure is subject to horizontal uniformly distributed load P1 and triangularly distributed load P2 perpendicular to side AB. Given: H1 = 9 m; H2 = 6 m; H3 = 12 m X1 = 6 m; X2 = 5 m P1 = 220 kN/m; P2 = 280 kN/m 4 Magnitude of resultant, R 4314.04 5 Angle of resultant direction from x-axis, θx 86.01 6 Distance of resultant from C measured along line CD, X 9.116where, bf1= 260 bf2 = 120 tf = 25 tw = 16 d1 = 160 d2 = 110 1. Calculate the location of the neutral axis from the bottom of the beam in mm. 2. Compute for the moment of inertia in 1x10^6 mm^4. 3. What is the value of in kN/m, considering flexural stress in tension? 4. What is the value of in kN/m, considering flexural stress in compression? 5. What is the statical moment of area (Q) in 1x10^3 mm^3 ? Use three decimal places. 6. What is the value of in kN/m, considering shear stress at the welded section? 7. What is the safest value of in kN/m? Use three decimal places.For the beam and loading shown below, determine the beam deflection at point H. Assume that EI = 6.4 × 104 kN·m2 is constant for the beam; w = 3.6 kN/m, LAB = 3.7 m, LBC = 7.4 m, LCH = 3.7 m.
- Determine support reaction at B . Given P=100 Kn L=10 mA billboard 3m high by 4m wide is supported as shown in the figure. The totl weight of the billboard is 30 kN. H = 1.5 m and tetha= 60 degrees. Wimd pressure, q= 1.6 kpa Wind pressure coefficient = 1.0. Determine the reactions at the support.3.2 A pontoon has a mass of 90 x 103 kg abd floats in see water, see figure 4.The pontoon has a length of 18m and a width of 7.5m.The sides of the pontoon are 1.5m high.The lower portion is parabolic with a displacement volume of 37.5 m3 and the centre of buoancy of the parabolic portion is 1.75m below the top of the pontoon.The centr of gravity of the pontoon is 1m below the top of the pontoon.The mass density of sea water is 1 025 kg/m3.Find the metacentric height of the pontoon and specify whether it floats stable in this position
- Find the length that a solid steel shaft of diameter d = 13 mm must have for its ends to rotate 90º with respect to each other. An allowable shear stress of Sy ’= 713.8 kg / cm2, and G = 8.1573x10 ^ 5 kg / cm2 must not be exceededA uniform bar AB is resting in a horizontal position on smooth inclines as shown below. Determine the load P that will hold the bar in equilibrium. Also, determine the reactions at A and B. Wherein: Q=2 T=6 Example: 2QT kN = 226 kN T.Q5 m = 4.25 mIn the cage system below; It is under the effect of a P=250 kN load acting at an angle of θ=30° from the point C. Calculate the horizontal displacement (cm) to the right at point C. (E=2000 kN/cm² and A=50 cm² will be taken for all bars.)
- T (Shear force) and M (Bending) for the system whose loading condition is given in Figure 1.Draw the moment diagrams. Calculate the deflection (vertical displacement) at point B in mm using Castigliano's Theorem. The beam bending stiffness (EI) is constant along the bar and its value is 50 000 kNm2. q=1,4(kN/m) a=8(m) El=50000(kNm2)Step 2 1st condition Bending moment at hinge D =0 Rc*2 = (3*2)*(2/2) Rc = 3 KN Rc = 3 KN (upward) could you explain where these numbers coming? Why that divided by two? and is formula like this: 3kN/m*2m*2m/2m? 2nd condition Bending moment at hinge F =0 RB*2= (3*4)*(3+4/2)-3*7 RB = 19.5 KN RB = 19.5 KN ( upward) Same this formula If you can explain this like drawing this on paper and write where all meters and number come, that would be help me. If you could also tell the direction, where you would calculation themProblem 3) Consider the Figure 3 – C, an overhanging beam carries two uniformly distributed loads12 kN/m and 6 kN/m and a concentrated load Pc = 2.5 kN. Determine the following:a) The moment of inertia about the neutral axis