This is civil engineering. Everything needed is provided. Please answer all parts to the best of your ability. Provide thorough answer and explanation. 2. Assume the section below has cracked and the transformed area method must be applied to compute bendingstresses. Locate the neutral axis of the transformed section. Draw the transformed section. The image below isnot to scale. You do not need to compute the moment of inertia for the transformed section.f = 3000 psi, fy = 60000 psi, n = 8. The area of a #9 bar cross section is 1.0 in².4 #912in18 in.3 in.21 in. Centroid of a composite areaΣyi AiΣΑ;First moment of area for a cross section (about x-axis)Qx = yAMoment of inertia for a rectangle, about neutral x-axisyI ==—= 2 bh³12Parallel axis theoremI = Σ(Ī₂ + Ad?)Modulus of rupture for a concrete cross sectionfr = 7.52√ √fLinear stress distribution in a cross sectionf = MyIMaximum moment for a simply supported beam under a distributed loadMmaxn ==Modular ratioEsEcw1²8At ultimate, assumed compression force in a concrete sectionC = 0.85f AcAt ultimate, assumed tension force in a concrete sectionT = AsfyNominal moment for a concrete sectionMn = T (d - YA) = C(d - YAc)

Given:Required:Location of neutral axis and draw transformed section

2. Assume the section below has cracked and the transformed area method must be applied to compute bending stresses. Locate the neutral axis of the transformed section. Draw the transformed section. The image below is not to scale. You do not need to compute the moment of inertia for the transformed section. f= = 3000 psi, fy = 60000 psi, n = 8. The area of a #9 bar cross section is 1.0 in². 4 #9 .. 12in 18 in. 3 in. 21 in.

2. Assume the section below has cracked and the transformed area method must be applied to compute bending stresses. Locate the neutral axis of the transformed section. Draw the transformed section. The image below is not to scale. You do not need to compute the moment of inertia for the transformed section. f= = 3000 psi, fy = 60000 psi, n = 8. The area of a #9 bar cross section is 1.0 in². 4 #9 .. 12in 18 in. 3 in. 21 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

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

This is civil engineering. Everything needed is provided. Please answer all parts to the best of your ability. Provide thorough answer and explanation.

2. Assume the section below has cracked and the transformed area method must be applied to compute bending
stresses. Locate the neutral axis of the transformed section. Draw the transformed section. The image below is
not to scale. You do not need to compute the moment of inertia for the transformed section.
f = 3000 psi, fy = 60000 psi, n = 8. The area of a #9 bar cross section is 1.0 in².
4 #9
12in
18 in.
3 in.
21 in.

Centroid of a composite area
Σyi Ai
ΣΑ;
First moment of area for a cross section (about x-axis)
Qx = yA
Moment of inertia for a rectangle, about neutral x-axis
y
I ==—= 2 bh³
12
Parallel axis theorem
I = Σ(Ī₂ + Ad?)
Modulus of rupture for a concrete cross section
fr = 7.52√ √f
Linear stress distribution in a cross section
f = My
I
Maximum moment for a simply supported beam under a distributed load
Mmax
n =
=
Modular ratio
Es
Ec
w1²
8
At ultimate, assumed compression force in a concrete section
C = 0.85f Ac
At ultimate, assumed tension force in a concrete section
T = Asfy
Nominal moment for a concrete section
Mn = T (d - YA) = C(d - YAc)

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