The square cross section of a reinforced concrete tie is 8 in. x 8 in., and it is reinforced with 8 # 5 steel reinforcing bars Grade 60. Calculate the cracking and calculated tensile stresses that the tie can withstand if the concrete has a 28-day compressive strength of 4000 psi

The square cross section of a reinforced concrete tie is 8 in. x 8 in., and it is reinforced with 8 # 5 steel reinforcing bars Grade 60. Calculate the cracking and calculated tensile stresses that the tie can withstand if the concrete has a 28-day compressive strength of 4000 psi

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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Types of Concrete

Concrete is the fundamental material used in civil engineering such as building materials for building structures. Concrete is an aggregate mixture of cement, sand, and fine and coarse rock pieces. The cement acts as a binding material that holds the compositions together, sets, and hardens with time. Apart from cement, there are other different types of binding materials used, such as lime concrete, bitumen, asphalt, and so on.

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The flexural strength (fr) of concrete measured from the bending test is always higher than the direct tensile strength (ft). In reality, the stress in the cracked part of the concrete is lower than ft. Also, failure may occur on the compressive side. Assuming NO tension softening (i.e., the stress in the cracked part stays at ft) and infinite compressive strength (i.e., compressive failure will never occur), draw the stress distribution over the depth of the beam at ultimate failure when the curvature of the section is approaching infinity. With this stress distribution, show that the upper bound of fr/ft is equal to 3. (Hint: On rotating the section, because the compressive stress can increase well beyond ft, the neutral axis will continue to shift upwards.)
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