Views
2 months ago

# ch01-03 stress &amp; strain &amp; properties

## 02 Solutions 46060

02 Solutions 46060 5/6/10 1:45 PM Page 19 © 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 2–34. If the normal strain is defined in reference to the final length, that is, P n œ ¢s¿ -¢s = lim a b p:p¿ ¢s¿ instead of in reference to the original length, Eq. 2–2, show that the difference in these strains is represented as a œ second-order term, namely, P n -P n =P n P œ n . e B = ¢S¿ -¢S ¢S e B - e A œ = ¢S¿ -¢S ¢S - ¢S¿ -¢S ¢S¿ = ¢S¿2 -¢S¢S¿ -¢S¿¢S +¢S 2 ¢S¢S¿ = ¢S¿2 +¢S 2 - 2¢S¿¢S ¢S¢S¿ = (¢S¿ -¢S)2 ¢S¢S¿ = ¢ ¢S¿ -¢S ¢S¿ -¢S ≤¢ ≤ ¢S ¢S¿ = e A e B œ (Q.E.D) 19

03 Solutions 46060 5/7/10 8:45 AM Page 1 © 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. •3–1. A concrete cylinder having a diameter of 6.00 in. and gauge length of 12 in. is tested in compression.The results of the test are reported in the table as load versus contraction. Draw the stressstrain diagram using scales of 1 in. = 0.5 ksi and 1 in. = 0.2110 -3 2 in.>in. From the diagram, determine approximately the modulus of elasticity. Stress and Strain: s = P A (ksi) e = dL L (in./in.) 0 0 0.177 0.00005 0.336 0.00010 0.584 0.000167 0.725 0.000217 0.902 0.000283 1.061 0.000333 1.220 0.000375 1.362 0.000417 1.645 0.000517 1.768 0.000583 1.874 0.000625 Modulus of Elasticity: From the stressstrain diagram Load (kip) 0 5.0 9.5 16.5 20.5 25.5 30.0 34.5 38.5 46.5 50.0 53.0 Contraction (in.) 0 0.0006 0.0012 0.0020 0.0026 0.0034 0.0040 0.0045 0.0050 0.0062 0.0070 0.0075 E approx = 1.31 - 0 0.0004 - 0 = 3.275A103 B ksi Ans. 1

Stress-Strain Relationship in Soil
Stress and Strain - Fast Facts
Predicting the Creep Strain of PVA-ECC at High Stress Levels ...
STRESS
VOLU ME 03, ISSU E 04 - Camden Property Trust
Strain Analysis
Stress
Property
PROPERTY
Sprains and Strains Prevention Guide
WIPO-ESCWA/EC/BEY/03/4.B - World Intellectual Property ...
Stress Management
Lensing in an elastically strained space-time
Electronic Strain Instrumentation - Tinius Olsen
Resistant Strains of Postmodernism - Ross Feller
Acute Stress Disorder and Posttraumatic Stress Disorder - Australian ...
PROPERTY GUIDE - Morocco Property
Stress and Rhythm - DLFeSCHOOL
From Distress to De-stress
Stress in the Wild - EUPRIM-Net
MPI: Stress only study
Managing Stress and Test Anxiety
STRESS MANAGEMENT IN HIGHER EDUCATION
INQÂ® Stress Platform - Integri
Making Peace with Stress
Teams Under Stress