Introduction to Columns
CE 4108 Concrete Structures Design
Three categories
1. Short compression blocks or pedestals 2. Short reinforced concrete columns 3. 3. Long or slender reinforced concrete
columns
Short compression blocks or pedestals
Height is le
Doubly reinforced beams
CE 4108 Concrete Structures Design
Doubly reinforced beams
Beams with both tensile and compressive steel. Compressive steel is sometimes required for small
beam sections. ACI 7.11.1: Compression steel must be enclosed by ties ties
Design of Rectangular Beams
CE 4108 Concrete Structures Design
Load Factors
Almost always larger than 1, used to
increase loads applied to structures. Used to account for the uncertainties in estimating load magnitudes.
Load Combinations (ACI 9.2)
U U U
h
Span 16
d
1.5 x max. aggregate size = 1.5 () = 1.125
d = h (conc. cover) (stirrup bar dia.) (tension bar dia.) (1.125) As an example, assume the following: h = 34 conc. cover = stirrups = #3 main tension bars = #7: d = 34 3/8 7/8 (1.125) = 32.3125
Lecture 7 Two-Way Slabs
Two-way slabs have tension reinforcing spanning in BOTH directions, and may take the general form of one of the following:
Types of Two-Way Slab Systems
Lecture 7 Page 1 of 13
The following Table may be used to determine minimum th
Lecture 6 One-Way Slabs
A one-way slab is supported by parallel walls or beams, and the main tension reinforcing bars run parallel to the span. It looks like the following:
The slab is designed as a series of 1-0 wide beam strips. The analysis is similar
Lecture 5 T- Beams
Concrete beams are often poured integrally with the slab, forming a much stronger T shaped beam. These beams are very efficient because the slab portion carries the compressive loads and the reinforcing bars placed at the bottom of the
Lecture 4 Flexural Members (cont.)
Determining the usable moment capacity, Mu, of a rectangular reinforced concrete beam is accomplished by using the formula below: (see Lect. 3)
act f y Mu = 0.9Asfyd(1 - 0.59 f' c
)
Designing a beam using the equatio
Lecture 3 Flexural Members
Flexural members are those that experience primarily bending stresses, such as beams. A typical rectangular reinforced concrete beam is shown below:
Width b
Depth to steel d Section A-A
Lecture 3 - Page 1 of 9
Hanger bars (#4 or
Lecture 2 Introduction to ACI 318-02
The American Concrete Institute (ACI) is the governing agency for all concrete construction in the U.S. It was established in 1904 to serve and represent user interests in the field of concrete. The ACI publishes many
Lecture 1 Reinforced Concrete Properties
Reinforced concrete structures are typified by their strength, beauty, bulk and longevity. It is the material of choice for many structures where these characteristics are required. Concrete-framed structures have
AECT 480 Reinforced Concrete Design Spring 2009 Homework # 3 3D Concrete Building Mass Model Framing GIVEN: A poured-in-place reinforced concrete office building is to be designed having the following criteria: (NOTE: Building as shown below is for dimens
AECT 480 Reinforced Concrete Design Spring 2009 Homework #4 Kennedy Foundation Walls DUE: Two weeks at beginning of lecture The Kennedy family own an older house located on 15 Second Street in Delhi. Their basement stairs is constructed within exterior fo
AECT 480 Reinforced Concrete Design Spring 2009 Homework # 2
Problem 1 (10 points each)
GIVEN: The 5 different beam loading diagrams as shown. REQUIRED: NEATLY draw (using straightedge) and label the complete shear + moment diagrams to each on separate pa
AECT 480 Reinforced Concrete Design Spring 2008 Homework # 1 DUE: 1 week at beginning of Lecture Research the literature (on-line or print) and find an innovative poured-in-place concrete building that interests you. No two people may do the same building
SHEAR DESIGN IN AASHTO LRFD CODE
By Gustavo Parra
Department of Civil & Environmental Engineering University of Michigan
Presentation Outline
Introduction on shear design methods in AASHTO LRFD Code Sectional Models - Mechanisms contributing to shear str
SHEAR DESIGN IN AASHTO LRFD CODE
1. INTRODUCTION Shear design in the LRFD AASHTO Code can be performed using sectional models or full member/region models such as the strutand-tie method. In this section, an overview is given of both the sectional and str
2010-01-06
Reinforced Concrete Members
Reinforced Concrete Members (CEE-613)
Chapter 1 - Material Properties
Concrete
Reinforcing Steel
Chapter 2 - Moment vs. Curvature Relationship for R/C Beams
General Discussion
Modeling of Concrete Stress vs. Strain R
University of Michigan Department of Civil and Environmental Engineering CEE 615: Reinforced Concrete Members Winter 2010 Homework 5 Due: Tuesday April 20, 2010 Problem 1: The section below corresponds to the beam flexural design near the column faces in
University of Michigan Department of Civil and Environmental Engineering
CEE 615: Reinforced Concrete Members
Winter 2010
Homework 4
Due: Thursday April 6, 2010 Problem 1 (100%): Design the example deep beam using Appendix A of the 2008 ACI Building Code
University of Michigan Department of Civil and Environmental Engineering
CEE 615: Reinforced Concrete Members
Winter 2010
Homework 3
Due: Thursday March 26, 2010 Problem 1 (40%): For the RC member shown in the figure below, calculate the required transver
University of Michigan Department of Civil and Environmental Engineering
CEE 615: Reinforced Concrete Members
Winter 2010
Due: Tuesday February 23, 2010 For the column section shown below, determine: 1) Nominal P-M diagrams for bending about the x and y a
University of Michigan Department of Civil and Environmental Engineering
CEE 615: Reinforced Concrete Members
Winter 2010
Due: Thursday February 4, 2010 1) For the beam section shown below, determine the following points in the moment versus curvature res
BIAXIAL BENDING IN COLUMNS
By Prof. Abdelhamid Charif
1 - INTRODUCTION
Columns are usually subjected to two bending moments about two perpendicular axes (X and Y) as well as an axial force in the vertical Z d irection (see Figure 1).
My P
Y Mx X
(a)
Y My
CEE611 Earthquake Engineering Winter Semester 2007-2008
Homework #3
(Due March 17, 2008) Earthquake Ground Motion Record Processing PART I Please obtain a record of the Northridge Earthquake (1994 EW) Moorpark Station (CDMG) and the Loma Prieta (1989 NS)