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reinforced beam will be provided with the reinforcing bars corresponding to 90% of the maximum reinforcement ratio specified in the ACI Code for a tension-controlled (i.e., underreinforced) design.   The materials used have the following properties: ??′ = 4000 psi, ?? = 80000 psi, ?? = 0.002   Estimated the steel area ?? Sketch the stress and strain distributions in the beam cross-section. The diagrams should show the location of the neutral axis and the compressive/tensile forces acting on the cross-section Calculate the nominal moment strength ?? and the design moment strength ??? [in kips-ft] Briefly explain how the formula of moment calculation can be derived

reinforced beam will be provided with the reinforcing bars corresponding to 90% of the maximum reinforcement ratio specified in the ACI Code for a tension-controlled (i.e., underreinforced) design.   The materials used have the following properties: ??′ = 4000 psi, ?? = 80000 psi, ?? = 0.002   Estimated the steel area ?? Sketch the stress and strain distributions in the beam cross-section. The diagrams should show the location of the neutral axis and the compressive/tensile forces acting on the cross-section Calculate the nominal moment strength ?? and the design moment strength ??? [in kips-ft] Briefly explain how the formula of moment calculation can be derived

Materials Science And Engineering Properties
Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter12: Composite Materials
Section: Chapter Questions
Problem 12.7P: Estimate the transverse tensile strength of the concrete in Problem 12.6.
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A singly reinforced beam will be provided with the reinforcing bars corresponding to 90% of the maximum reinforcement ratio specified in the ACI Code for a tension-controlled (i.e., underreinforced) design.

 

The materials used have the following properties:

??′ = 4000 psi, ?? = 80000 psi, ?? = 0.002

 

  • Estimated the steel area ??
  • Sketch the stress and strain distributions in the beam cross-section. The diagrams should show the location of the neutral axis and the compressive/tensile forces acting on the cross-section
  • Calculate the nominal moment strength ?? and the design moment strength ??? [in kips-ft] Briefly explain how the formula of moment calculation can be derived
  • Assume that the design moment strength is less than the factored moment. Hence, compression rebars will be added. The effective depth is ?′ = 1.5′′. Determine the steel area of compression rebars ??′ so that the compression bars yield at the flexural failure
  • Based on ??′ determined in part d calculate the nominal moment strength ?? and the design moment strength ??? [in kips-ft]. Also briefly explain how the formula of moment calculation can be deriven. 
A singly reinforced beam will be provided with the reinforcing bars corresponding to 90% of the maximum reinforcement ratio specified in the ACI Code for a tension-controlled (i.e., underreinforced) design. The materials used have the following properties: f = 4000 psi, fy = 80000 psi, y = 0.002 a. Estimated the steel area Aç. You do not need to choose rebars. d = 17.5" h = 20" b = 12" b. Sketch the stress and strain distributions in the beam cross-section. The diagrams should show the location of the neutral axis and the compressive/tensile forces acting on the cross-section. c. Calculate the nominal moment strength M, and the design moment strength &M₂ [in kips-ft]. Briefly explain how the formula of moment calculation can be derived. d. Assume that the design moment strength is less than the factored moment. Hence, compression rebars will be added. The effective depth is d' = 1.5". Determine the steel area of compression rebars As so that the compression bars yield at the flexural failure. e. Based on A's determined in part d calculate the nominal moment strength M₁ and the design moment strength OM, [in kips-ft]. Also briefly explain how the formula of moment calculation can be deriven. A
Transcribed Image Text:A singly reinforced beam will be provided with the reinforcing bars corresponding to 90% of the maximum reinforcement ratio specified in the ACI Code for a tension-controlled (i.e., underreinforced) design. The materials used have the following properties: f = 4000 psi, fy = 80000 psi, y = 0.002 a. Estimated the steel area Aç. You do not need to choose rebars. d = 17.5" h = 20" b = 12" b. Sketch the stress and strain distributions in the beam cross-section. The diagrams should show the location of the neutral axis and the compressive/tensile forces acting on the cross-section. c. Calculate the nominal moment strength M, and the design moment strength &M₂ [in kips-ft]. Briefly explain how the formula of moment calculation can be derived. d. Assume that the design moment strength is less than the factored moment. Hence, compression rebars will be added. The effective depth is d' = 1.5". Determine the steel area of compression rebars As so that the compression bars yield at the flexural failure. e. Based on A's determined in part d calculate the nominal moment strength M₁ and the design moment strength OM, [in kips-ft]. Also briefly explain how the formula of moment calculation can be deriven. A
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ISBN:
9781111988609
Author:
Charles Gilmore
Publisher:
Cengage Learning
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