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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
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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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?
Transcribed Image Text: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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