The cross section of the beam shown below is reinforced with 4 - HD244 mm bars...
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The cross section of the beam shown below is reinforced with 4 - HD244 mm bars placed in one layer. This beam has a simple span of 6.00 meters and carries the moving loads as shown. Design parameters: f'c =25 MPa and n=9, Es = 200,000MPa, fy = 440MPa. 300 mm b = 300mm Beam cross section !d=550 mm Neutral Axis 50 mm L = 6.00m Simply supported beam 300 mm nAs d-x 50kN 40KN 1.60m 1.40m 3.00m T 1.00m Moving Loads 10kN Answer the following: 1) Neglecting the self weight of the beam, show by analytical computation if the concrete beam will show signs of cracking in the tensile side or not. Evaluate the Max. Moment (M*) due to the passage of moving loads 2) If the analytical computation in question (a) above will show that the applied external loads on the beam will cause bending moment greater than the cracking moment, the tensile strength of concrete will be exceeded and the beam will show sign of cracking in the tensile side. The reinforcing steel bars will then carry the tensile stress. This will mean that there is no tensile stress in the concrete. If such situation exists, determine the location of the Neutral Axis by Transformed Area Method. Also compute the actual stresses in concrete and steel. The cross section of the beam shown below is reinforced with 4 - HD244 mm bars placed in one layer. This beam has a simple span of 6.00 meters and carries the moving loads as shown. Design parameters: f'c =25 MPa and n=9, Es = 200,000MPa, fy = 440MPa. 300 mm b = 300mm Beam cross section !d=550 mm Neutral Axis 50 mm L = 6.00m Simply supported beam 300 mm nAs d-x 50kN 40KN 1.60m 1.40m 3.00m T 1.00m Moving Loads 10kN Answer the following: 1) Neglecting the self weight of the beam, show by analytical computation if the concrete beam will show signs of cracking in the tensile side or not. Evaluate the Max. Moment (M*) due to the passage of moving loads 2) If the analytical computation in question (a) above will show that the applied external loads on the beam will cause bending moment greater than the cracking moment, the tensile strength of concrete will be exceeded and the beam will show sign of cracking in the tensile side. The reinforcing steel bars will then carry the tensile stress. This will mean that there is no tensile stress in the concrete. If such situation exists, determine the location of the Neutral Axis by Transformed Area Method. Also compute the actual stresses in concrete and steel.
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