A rectangular concrete beam has a width of 300mm and an effective depth of 450 mm to centroid of the tension bars. The beam is reinforced with six-32 mm ᴓ tension bars placed in two layers with the outer layer having a depth of 478 mm, and two 28 mm ᴓ compression bars with centroid 65 mm from the extreme tension fiber. Use the 2010 NSCP, fc’ = 34.5 MPa and fy = 345 MPa. Assume the concrete displaced by the compression steel cannot be neglected and that compression steel yields. Determine the following: The balanced steel ratio if the beam is singly reinforced. The maximum steel ratio for a singly-reinforced section in tension control. The maximum steel area in mm2 for a doubly reinforced section in tension control.
A rectangular concrete beam has a width of 300mm and an effective depth of 450 mm to centroid of the tension bars. The beam is reinforced with six-32 mm ᴓ tension bars placed in two layers with the outer layer having a depth of 478 mm, and two 28 mm ᴓ compression bars with centroid 65 mm from the extreme tension fiber. Use the 2010 NSCP, fc’ = 34.5 MPa and fy = 345 MPa. Assume the concrete displaced by the compression steel cannot be neglected and that compression steel yields. Determine the following: The balanced steel ratio if the beam is singly reinforced. The maximum steel ratio for a singly-reinforced section in tension control. The maximum steel area in mm2 for a doubly reinforced section in tension control.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A rectangular concrete beam has a width of 300mm and an effective depth of 450 mm to centroid of the tension bars. The beam is reinforced with six-32 mm ᴓ tension bars placed in two layers with the outer layer having a depth of 478 mm, and two 28 mm ᴓ compression bars with centroid 65 mm from the extreme tension fiber. Use the 2010 NSCP, fc’ = 34.5 MPa and fy = 345 MPa. Assume the concrete displaced by the compression steel cannot be neglected and that compression steel yields. Determine the following:
- The balanced steel ratio if the beam is singly reinforced.
- The maximum steel ratio for a singly-reinforced section in tension control.
- The maximum steel area in mm2 for a doubly reinforced section in tension control.
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