1. Consider the shear diagram below for the simply supported rectangular beam. Compute the following, assuming that #3 stirrups (L) will be used for shear reinforcement. A #3 bar has a cross-sectional area of 0.11 in². Assume normal weight concrete, fy = 60000 psi, and fo = 4000 psi. You may also assume that the beam's self-weight is included in the dead load provided. Per ACI 9.6.3, shear reinforcement is required when V₂ > Vc. a. At what distance from the left support can shear reinforcement end? b. At what distance from the left support can theoretical spacing be taken as 16"? You do not need to check whether 16" is within maximum allowable values. (Recall: Vu= Vn = OVc + Vs, 0 = 0.75) WD = 1 k/ft W₁ = 2 k/ft 28 ft Criteria 22.5.5 V for nonprestressed members 22.5.5.1 For nonprestressed members, V, shall be calcu- lated in accordance with Table 22.5.5.1 and 22.5.5.1.1 through 22.5.5.1.3. Table 22.5.5.1-Vc for nonprestressed members Ve Ay 2 Amin Ay

1. Consider the shear diagram below for the simply supported rectangular beam. Compute the following, assuming that #3 stirrups (L) will be used for shear reinforcement. A #3 bar has a cross-sectional area of 0.11 in². Assume normal weight concrete, fy = 60000 psi, and fo = 4000 psi. You may also assume that the beam's self-weight is included in the dead load provided. Per ACI 9.6.3, shear reinforcement is required when V₂ > Vc. a. At what distance from the left support can shear reinforcement end? b. At what distance from the left support can theoretical spacing be taken as 16"? You do not need to check whether 16" is within maximum allowable values. (Recall: Vu= Vn = OVc + Vs, 0 = 0.75) WD = 1 k/ft W₁ = 2 k/ft 28 ft Criteria 22.5.5 V for nonprestressed members 22.5.5.1 For nonprestressed members, V, shall be calcu- lated in accordance with Table 22.5.5.1 and 22.5.5.1.1 through 22.5.5.1.3. Table 22.5.5.1-Vc for nonprestressed members Ve Ay 2 Amin Ay

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A rectangular beam section is limited to a size of b = 250 mm and h = 450 mm. Assume that bars in compression will be placed at 60 mm from the compression fiber and bars in tension 60 mm from the tension fiber. Given that f’c = 21 MPa and fy = 420 MPa: Calculate the amount of tension rebars that will have a minimum tensile strain of 0.005 compatible with concrete strain of 0.003. If the beam section will be reinforced with tension rebars at a minimum tensile strain of 0.005, calculate the required depth in mm of uniform stress block on concrete in compression. With this amount of tension rebars, calculate the design strength of the beam section in kN.m. For the beam to sustain a factored moment of 160 kN.m, what will be the required amount of tension steel area in mm2 in addition to the tension rebars described in item #1. Considering a doubly reinforced section with tension rebars at a tensile strain of 0.005, calculate the resulting compression stress in MPa on rebars to be…
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