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Design a reinforced concrete beam to support a uniformly distributed load ( UDL ) of 2 0 kN / m over a span of 6
Design a reinforced concrete beam to support a uniformly distributed load UDL of kNm over a span of meters. The beam is simply supported at both ends and needs to satisfy the following criteria:
Load and Support Conditions:
UDL kNm
Span L meters
Simply supported beam
Material Properties:
Concrete strength fc MPa
Yield strength of steel fy MPa
Design Requirements:
Determine the required dimensions width and effective depth of the beam.
Calculate the steel reinforcement required area of steel bars and spacing assuming a balanced design approach.
Check the design for both bending and shear requirements.
Ensure that the beam satisfies deflection limits
Procedure:
Calculate the maximum bending moment Mmax using the formula for a simply supported beam under UDL.
Determine the effective depth d based on the bending moment and allowable stress in concrete.
Choose a suitable depthtowidth ratio.
Calculate the area of steel reinforcement required using the balanced section approach.
Check for shear stress and provide adequate shear reinforcement if necessary.
Verify deflection limits using the appropriate deflection formula and check against permissible limits
What is dynamic programming?
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