Q1. Consider the beam cross section shown below:= 3 in?= 60 ksi= 3 ksi= 7.5v(fc) = 7.5v(3000 psi)= 0.41 ksi= 29000 ksi= 57000-(S) = 57000v(3000 psi)= 3122 ksiAsfy17"20"frE,E.14"a) Find the ỹ the centroid of the shape relative to the top.b) Find IuTc) Define IUTd) What is the cracking moment MCR?e) If the beam were simply-supported and 20ft long – what uniformly distributed load would cause thatmoment?f) What is n (number and explanation)?g) Where is the beam in compression (diagram and sentence)?h) What is the maximum compressive stress in the concrete when: M= McR and f = f,?i) What is the stress in the steel under the same condition?What is the strain in the steel?

As the beam specifications are given: As=3 in2 fy=60 ksi fr= 7.53000 psi=0.41 ksi Es=29000 ksi…

01. Consider the beam cross section shown below: = 3 in? = 60 ksi = 3 ksi = 7.5V(Sc) = 7.5v(3000 psi) = 0.41 ksi = 29000 ksi = 57000VS) = 57000-(3000 psi) = 3122 ksi A fe fr 17" 20" E, E 14" a) Find the ỹ the centroid of the shape relative to the top. b) Find IuT c) Define IuT d) What is the cracking moment Mcr?

01. Consider the beam cross section shown below: = 3 in? = 60 ksi = 3 ksi = 7.5V(Sc) = 7.5v(3000 psi) = 0.41 ksi = 29000 ksi = 57000VS) = 57000-(3000 psi) = 3122 ksi A fe fr 17" 20" E, E 14" a) Find the ỹ the centroid of the shape relative to the top. b) Find IuT c) Define IuT d) What is the cracking moment Mcr?

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

Properties of materials

A property of a material describes its characteristics and distinguishes it from the others. The material properties are described it in terms of its hardness, color, appearances, and so on. The material properties generally depend on the type of material, or whether it is a metal or an alloy. There are different kinds of material properties such as mechanical properties, thermal properties, physical properties, and chemical properties. Chemical properties describe the material in terms of a chemical change. The mechanical properties come into existence when the material is acted upon by an external load. Thermal properties are associated with the temperature of the material and specific heat.

Question

Q1. Consider the beam cross section shown below:
= 3 in?
= 60 ksi
= 3 ksi
= 7.5v(fc) = 7.5v(3000 psi)
= 0.41 ksi
= 29000 ksi
= 57000-(S) = 57000v(3000 psi)
= 3122 ksi
As
fy
17"
20"
fr
E,
E.
14"
a) Find the ỹ the centroid of the shape relative to the top.
b) Find IuT
c) Define IUT
d) What is the cracking moment MCR?
e) If the beam were simply-supported and 20ft long – what uniformly distributed load would cause that
moment?
f) What is n (number and explanation)?
g) Where is the beam in compression (diagram and sentence)?
h) What is the maximum compressive stress in the concrete when: M= McR and f = f,?
i) What is the stress in the steel under the same condition?
What is the strain in the steel?

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Step 2:The centroid of shape relative to the top:

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Step 3:The moment of inertia is:

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