Given: The T- beam cross section in Figure 3.Find: Calculate the following:a. The gross moment of inertia, Igb. The location of the neutral axis of the cracked section and Icr.c. The effective moment of inertia, lê, assuming that Ma = 0.6M₁. (don't include the 2 # 4 barsin the top flange as compression steel when calculating M₁)f=5000 psi NWCfy = 60,000 psiCc = 1.5 in#4 stirrups-b₁ = 50 in20 in 10 inFigure 3-T-Beam cross section.2 #42 # 106 in18 in

Moment of Inertia:The moment of inertia is defined as the amount indicated by the object opposing…

Find: Calculate the following: Figure a. The gross moment of inertia, Ig b. The location of the neutral axis of the cracked section and Icr. c. The effective moment of inertia, le, assuming that Ma = 0.6M₁. (don't include the 2 # 4 bars in the top flange as compression steel when calculating Mn) f = 5000 psi NWC -b₁ = 50 in 2 #4 6 in

Find: Calculate the following: Figure a. The gross moment of inertia, Ig b. The location of the neutral axis of the cracked section and Icr. c. The effective moment of inertia, le, assuming that Ma = 0.6M₁. (don't include the 2 # 4 bars in the top flange as compression steel when calculating Mn) f = 5000 psi NWC -b₁ = 50 in 2 #4 6 in

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

Load and resistance factor design

Load and resistance factors design (LRFD), also known as Limit state design (LSD), refers to the design method used in building engineering. A boundary condition is a condition of a structure where it can no longer meet the relevant design requirements. The condition may refer to the load level or other actions on the structure, while the terms refer to the integrity of the structure, suitability for use, durability, or other design requirements. A structure designed for LRFD is limited to keeping track of all possible actions during its design time and is always ready for use, with the appropriate level of reliability in each boundary condition. LRFD-based construction codes clearly define the appropriate levels of reliability in their instructions.

Question

Given: The T- beam cross section in Figure 3.
Find: Calculate the following:
a. The gross moment of inertia, Ig
b. The location of the neutral axis of the cracked section and Icr.
c. The effective moment of inertia, lê, assuming that Ma = 0.6M₁. (don't include the 2 # 4 bars
in the top flange as compression steel when calculating M₁)
f=5000 psi NWC
fy = 60,000 psi
Cc = 1.5 in
#4 stirrups
-b₁ = 50 in
20 in 10 in
Figure 3-T-Beam cross section.
2 #4
2 # 10
6 in
18 in

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Step 2: Given data :

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Step 3: Gross moment of inertia:

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Step 4: Location of neutral axis ;

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Step 5: The effective moment of inertia

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