Design a reinforced concrete beam that has a rectangular cross section with a width b = 20 in. The depth his limited by architectural reasons to 16 in. It has to carry a factored moment M₁ = 400 kip- ft. including the self-weight. The design should satisfy ACI 318 for tension-controlled members. Use Grade 60 steel and a specified concrete compressive strength f = 6,000 psi. Determine the flexural reinforcement for the beam, and use compression steel if needed. The beam has No. 4 stirrups. The minimum concrete cover is 1-1/2 in. Show a sketch of the beam cross section.

Design a reinforced concrete beam that has a rectangular cross section with a width b = 20 in. The depth his limited by architectural reasons to 16 in. It has to carry a factored moment M₁ = 400 kip- ft. including the self-weight. The design should satisfy ACI 318 for tension-controlled members. Use Grade 60 steel and a specified concrete compressive strength f = 6,000 psi. Determine the flexural reinforcement for the beam, and use compression steel if needed. The beam has No. 4 stirrups. The minimum concrete cover is 1-1/2 in. Show a sketch of the beam cross section.

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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Concept explainers

Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.

Question

Design a reinforced concrete beam that has a rectangular cross section with a width b = 20 in. The
depth h is limited by architectural reasons to 16 in. It has to carry a factored moment M₁ = 400 kip-
ft. including the self-weight. The design should satisfy ACI 318 for tension-controlled members.
Use Grade 60 steel and a specified concrete compressive strength f = 6,000 psi. Determine the
flexural reinforcement for the beam, and use compression steel if needed. The beam has No. 4
stirrups. The minimum concrete cover is 1-1/2 in. Show a sketch of the beam cross section.

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Step 2 Required nominal strength of beam

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Step 4 Check whether beam is singly or doubly reinforced

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Step 5 Check to see whether compression steel has yielded

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