H 6 1m 2m 2m 1m 1m 2m 240 10KN 10k4 SOLVE FOR axial FORCES at BC, BG & GH
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- Table of values: bf = 1482 mmbw 462 mmt = 292 mm fc' = 28.2 MPafy = 384 MPad = 1011 mmd' = 112 mmL(beam) = 15.1 mW_D1= 48.4 kN/mW_L1 = 56.9 kN/mW_D2 = 184.4 kN/mW_L2 = 208.9 kN/mPROBLEM: A simply-supported T-beam is subjected to two pairs of distributed loads: pair 1 (W_D1, W_L1)and pair 2 (W_D2, W_L2). The geometric, material and loading properties are all given on thetable above. 1. Solve for the height of the compression stress block using pair 1. 2. Solve for the theoretical steel area using pair 1. 3. Using Es = 0.004, solve for the theoretical steel area using pair 2. 4. Using Es = 0.005, solve for the theoretical steel area using pair 2.4. A cantilever beam has a span of 3 m. The beam carries a uniform service load w = 22 kN/m includes the weight of the beam. There is no lateral support other than that at the fixed end. Properties of W 10 x 77 A = 14581 mm2 Lp = 2.799 m d = 269.24 mm Lr = 13.811 m bf = 258.83 mm Lb = 3 m tf = 22.10 mm Fy = 345 MPa tw = 13.46 mm K = 38.10 mm Sx = 1408 x 103 mm3 E = 200,000 MPa Zx = 1599 x 103 mm3 a. Determine the value if the service load P due to the max. shear strength of the beam using LRFD. b. Determine the value if the service load P due to the max. shear strength of the beam using ASD. c. Determine the value of the service load P due to the flexural strength of the beam using LRFD. d. Determine the value of the service load P due to the allowable bending strength of the beam using ASD.A steel column carries an axial load of 787 kN and a moment of 69 kN-m at the top and moment at the bottom which is only70% of the moment at the top. The two moments are in opposite direction and applied about the x-axis and the steel section has the following properties:A = 12974 mm2rx= 109 mmry= 94 mmSx = 1200 x 103 mm3K=1.0L= 3.6 mE = 200,000 MpaFy = 248 MpaUse NSCP specification for compressive stress and Fb =148 Mpa. Questions:Determine the Compressive Stress if Axial load only existed.
- A steel column carries an axial load of 787 kN and a moment of 69 kN-m at the top and moment at the bottom which is only70% of the moment at the top. The two moments are in opposite direction and applied about the x-axis and the steel section has the following properties:A = 12974 mm2rx= 109 mmry= 94 mmSx = 1200 x 103 mm3K=1.0L= 3.6 mE = 200,000 MpaFy = 248 MpaUse NSCP specification for compressive stress and Fb =148 Mpa. Questions:Determine the Compressive Stress if Axial load only existed. Note: The answer should close 60 MPAl1 = 2m l2 = 3m P3 = 9kNQuestion:- A 7.5 meters long simply supported structural steel beam carries two concentrated loads P at every third points. Use A 572 Grade 65 steel with Fy=448.18 MPa. The beam is W310x23.8 section having the given properties. A=3040mm² d= 305mm tw= 5.6mm bf=101mm tf= 6.7 mm Ix= 43x10⁶ mm⁴ Iy=1.2x10⁶mm⁴ a) Calculate the allowable bending stress of the compression flange of beam 7.5 fully supported against lateral movement. b) Based from the previous question, calculate the value of concentrated load P that the beam could support safety.
- 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. 0.162For 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.
- plzzzz help me nowww What is the minimum Block mass (kg) that is required to open the gate A-B? The density of water is 1000 kg/m3 and the density of the block is 8000 kg/m3. The specific gravity of oil is 0.9. The depth of the gate is not required. The external force that effects the gate at point A is Fe=3000 N, while the hydrostatic force Fh=9313.8 NPlease help me with the following question. please put the whole process and solution because I’m having a difficulty with understanding it. Thank you very much. Determine the reactions at the following: A (Normal) - B (Horizontal ) - B (Vertical) - FN=78MN=104SN=66The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h= 430 mm tw= 12 mm d= 110 mm t= 9.6 mm Additionallv: • The area of each pipe is A = 3028 mm2. • The moment of inertia of the entire beam cross section about the z centroidal axis is I>= 320410000 mm4. If the beam will be subiected to a shear force of V = 110 kN, determine the shear stress at point K, located at yK = 70 mm below the z centroidal axis.