homework1-2010 - Whitneys stress block as defined in the...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
University of Michigan Department of Civil and Environmental Engineering CEE – 615: Reinforced Concrete Members Winter 2010 Homework 1 Due: Thursday February 4, 2010 1) For the beam section shown below, determine the following points in the moment versus curvature response (section is under positive bending): a) First cracking b) Point between first cracking and first yield c) First yield (use both “exact” and approximate method) d) ε cm = 0.003 e) ε cm = 0.006 For modeling the concrete compression response, use Hognestad’s parabola with a linear descending tail. Use k 3 = 1 and Z = 150. 2) For the same section, calculate the moment and curvature corresponding to ε cm = 0.003 using Roy and Sozen’s bilinear model with a descending slope corresponding to Z = 150, as well as
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Whitneys stress block as defined in the ACI Code. Compare your results with that obtained in part 1d). 3) If compression reinforcement with area equal to 25% of that of the tension steel is added to the section, what is the ultimate curvature capacity of the section based on the model used in Part 1? Use d = distance from extreme compression fiber to centroid of compression reinforcement = 2.5 in. Material properties: Concrete: f c = 4500 psi; co = 0.002; cu = 0.006 (ultimate strain capacity of concrete), w = 145 lb/ft 3 Steel: f y = 63 ksi; f su = 105 ksi; E = 29000 ksi; E sh = 1500 ksi; sh = 0.008; su = 0.12. 14 24 4 #8 21.5 Note: Compression reinforcement only for Part 3....
View Full Document

This note was uploaded on 05/01/2010 for the course CEE 615 taught by Professor Parra during the Winter '09 term at University of Michigan-Dearborn.

Ask a homework question - tutors are online