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- A reinforced concrete T-beam has the following properties: Flange width, bf = 1350 mm Width of web, bw = 300 mm Gross depth, h = 500 mm Effective depth, d = 420 mm Concrete strength, f'c = 21 MPa Steel strength, fy = 415 MPa If the beam is reinforced with 3-20-mm-diameter bars at the bottom (in single layer), determine the resulting depth of rectangular stress block at ultimate stage (mm, 2 decimal places). What is the condition of failure? (Balanced, Tension controlled, Compression controlled, Transition). Calculate the design moment strength of a typical interior beam (kN-m, whole number).Immediately after prestressing, a post-tensioned bonded concrete beam has a prestress of 1560kN in the steel, which gradually reduces to 1330 kN. In addition to its own weight of 4.40 kN/m,the beam bears two live loads shown in the figure below. Calculate the mid-span fiber stresses: a. with full prestress and no live load in the initial conditionb. with full live load and in final condition after all losses had occurredQ3 Eor the solid slabs shown in Fig (3). find the spacing of (4 12 mm ) bars required at the locations and directions that idicated by the arrows? Assume - f =30 MPa . Fy =400 MPa Slab thickness = 150 mm Col 35+35 e o Al columas are square of 350 ma = 350 mm T
- A reinforced concrete T-beam has the following properties: Flange width, bf = 1,350 mm Width of web, bw = 300 mm Gross depth, h = 500 mm Effective depth, d = 420 mm Concrete strength, f’c = 21 MPa Steel strength, fy = 415 MPa 10. If the beam is reinforced with 3-20-mm-diameter bars at the bottom (in single layer), determine the resulting depth of rectangular stress block at ultimate stage. = mm (2 decimal places) 11. What is the condition of failure? = (Balanced, Tension controlled, Compression controlled, Transition) 12. Calculate the design moment strength of a typical interior beam. = kN⋅m (whole number)For the composite cross-section shown in Figure 2 which is built up out of steel and concrete and issubjected to amoment about Z axis (M), draw the stress profile. Given: Steel E = 200 GPa Concrete E = 25 GPa M = 8616 in kN.mDetermine the prestressing force required for the precast concrete T-beam. Use the following data: Total moment = 250 kN-m Effective stress fse= 862 MPa Allowable concrete stress = f =11 MPa Consider zero stress at the bottom of the beam I=3673x106 mm A=103125 mm2 Eccentricity = 271.6 mm Centroid of steel is located at 100 mm from the bottom of the beam.
- A prestressed rectangular beam 0.50m x 0.75m has a simple span of 10m and is loaded with a uniform load of 45 kN/m including its own weight. The prestressing tendon is 0.225 m from the bottom and produces an effective prestress of 1600 kN. Compute the fiber stress distribution in the concrete at midspan (bottom fiber) due to axial and transverse loading. Select one: a. 3.26 MPa b. 1.96 MPa c. 2.61 MPa d. 4.08 MPa A prestressed rectangular beam 0.50m x 0.75m has a simple span of 10m and is loaded with a uniform load of 45 kN/m including its own weight. The prestressing tendon is 0.225 m from the bottom and produces an effective prestress of 1600 kN. Compute the fiber stress distribution in the concrete at midspan due to transverse load. Select one: a. 15 MPa b. 9 MPa c. 12 MPa d. 7 MPaTwo blocks of wood, 25 mm x 75 mm, are glued together along the joint inclined at 15o. Determine the average normal stress and shear stress developed in the wood fiber along section a-a.For the following composite beam which is built up out of two wooden beams and three steel plates, what is the moment capacity of the section (Moment about Z axis)? Draw the stress profile for the section. Given :For wood : E = 15 GPa, σmax = 7.5 MPa For steel : E = 200 GPa, σmax = 150 MPa
- A simply supported composite timber beam is loaded as shown in Figure 2(a). The beam cross-section is shown in Figure 2(b). Plot the mid-span flexural stress and strain distribution diagrams of the beam.A prestressed rectangular beam 0.50m x 0.75m has a simple span of 10m and is loaded with a uniform load of 45 kN/m including its own weight. The prestressing tendon is 0.225 m from the bottom and produces an effective prestress of 1600 kN. Compute the fiber stress distribution in the concrete at midspan due to prestressing axial load. Select one: a. 4.27 MPa b. 6.68 MPa c. 5.34 MPa d. 3.20 MPa A prestressed rectangular beam 0.50m x 0.75m has a simple span of 10m and is loaded with a uniform load of 45 kN/m including its own weight. The prestressing tendon is 0.225 m from the bottom and produces an effective prestress of 1600 kN. Compute the fiber stress distribution in the concrete at midspan (top fiber) due to axial and transverse loading. Select one: a. 7.81 MPa b. 11.15 MPa c. 5.85 MPa d. 13.94 MPaDetermine, using the method of composite areas, the total second moments of area of of the composite about the y-axis [units^4].