Find reactions first then make a shear and moment diagram (no integration).
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Find reactions first then make a shear and moment diagram (no integration).
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- I cannot understand these For point of contraflexural, 40090300=200×x90300 x=2 m θA=0 (fixed support) θDA=θD-θA=θD=Area of MEI Dia between A and D = 19030012×600×3+600×4+12×300×3-12×200×2 =355090300 θD=0.03931 radianθD= 2.252° Deflection at point D ∆D=31-CosθD ∆D=2.3176×10-3 mm Deflection at point D is 2.3176×10-3 mmA rectangular reinforced concrete beam with width of 300 mm & effective depth of 600 mm is subjected to a service bending moment of 200 kN.m. The beam is reinforced with 4-32 mm diameter bars. n = 8. 1. Compute the distance kd? a. 246.33 mm b. 353.67 mm c. 170.33 mm d. 302.33 mm 2. Which of the following gives the moment of inertia about N. A.? a. 4173.81 x 106 mm⁴ b. 3471.81 x 106 mm⁴ c. 4371.81 x 106 mm⁴ d. 4713.81 x 106 mm⁴ 3. Which of the following most nearly gives the maximum stress in steel in Mpa? a. 100 b. 110 c. 120 d. 130W1 = 10 kN/m P2 = 60 kN a = 2 c = 5 M1 = 35 kNm
- q=3.15 kn/m , a=3.15mThe shorter legs of two 6”x 4” x 1⁄2” angles arewelded to a 12”-20.7-lb channel. Determine themoments of inertia of the combined sectionwith respect to centroidal axes respectivelyparallel and perpendicular to the web of thechannel. For the 12”-20.7-lb channel, its area is 6.03 sq. in.; x̄=0.70; ȳ=0; web thickness t = 0.280"P1= 100KN A=4
- To prevent the ladder weighing 600N from sliding down, the man exerts a horizontal force at C. The coefficient of friction at A= 0.2 while surface B is frictionless Find the vertical reaction at Aa. 600N c. 500Nb. 700N d. 800NFind the horizon reaction at Aa. 150N c. 210Nb. 180N d. 120NFind the horizon force exerted by the man at Ca. 533.3N c. 333.3Nb. 667.7N d. 767.6NAn open rectangular tank 1.5mx1mx1.2m high is completely filled with water whenat rest. Determine the volume spilled after the tank acquired a linear uniformacceleration of 0.6 m/s2 in the horizontal direction.20 -In the cantilever beam in the figure, bar clearance L= 225 cm and single load acting on the free end of the bar P = 12 kN. The cross-sectional effects at point B will be calculated. Accordingly, the Moon on the fixed support at point A=? A) None.B) 27000C) 12000D) 0E) 9000
- For a certain arrangement of two bars carrying only axial forces, the equilibrium and compatibility equations are: Equilibrium: t1+3t2=2kN Compatibility: 2e1 + e2 = 0.1mm There is also a temperature rise of 50oC. Show calculations for the tension in the two bars, where EA=90x103kN and α=12 x10-6 *C for both bars and L1=500mm and L2=400mm.A 3.5m high column consists of W920 X 289.7. It carries an eccentric load of 1000 KN with an eccentric of 100 mm along the y-axis. The column is restrained on both ends. Fy = 248 MPaProperties of W920 X 289.70A=36770 mm²d=927 mmbf=308 mmtf =32 mmtw=19.4 mmIx=5036.4 (10⁶)Sx=10.88 (10⁶)Iy=156.09 (10⁶)Sy=1.014 (10⁶)K = 0.50Cm = 0.85 1. What is actual bending stress of the column in MPa? a. 8.2 MPa b. 7.2 MPa c. 9.2 MPa d. 10.2 MPa 2. What is the allowable bending stress of the column? a. 150 MPa b. 143.7 MPa c. 163.7 MPa d. 155.7 MPaA 3.5m high column consists of W920 X 289.7. It carries an eccentric load of 1000 KN with an eccentric of 100 mm along the y-axis. The column is restrained on both ends. Fy = 248 MPaProperties of W920 X 289.70A=36770 mm²d=927 mmbf=308 mmtf =32 mmtw=19.4 mmIx=5036.4 (10⁶)Sx=10.88 (10⁶)Iy=156.09 (10⁶)Sy=1.014 (10⁶)K = 0.50Cm = 0.85 1. Which of the following gives the value of critical slenderness ratio? a. 16.86 b. 26.86 c. 46.86 d. 36.86 2. What is the ratio of Allowable axial stress to Actual axial stress (fa/Fa)? a. 0.192 b. 0.172 c. 0.182 d. 0.162