Essentials Of Materials Science And Engineering, Si Edition
Essentials Of Materials Science And Engineering, Si Edition
4th Edition
ISBN: 9781337629157
Author: Donald R. Askeland, Wendelin J. Wright
Publisher: Cengage Learning
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Chapter 6, Problem 6.26P
Interpretation Introduction

Interpretation:

A bar is subjected to tension before any necking may occur. For this bar, expression of engineering strain along with load axis is to be determined. The obtained expression should be the function of the initial and instantaneous diameter of bar and also consider volume is constant.

Concept introduction:

Concept of engineering strain will be used. Engineering strain can be expressed as the amount of deformation which occurs in the direction of force is divided by the initial length of any specimen. The formula of engineering strain is given below-

e(engineering strain)=Δllo

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5.6 A section of highway has the following flow- density relationship q = 50k - 0.156k2 [with q in veh/h and k in veh/mi]. What is the capacity of the highway section, the speed at capacity, and the density when the highway is at one-quarter of its capacity?
8.20 Two routes connect a suburban area and a city, with route travel times (in minutes) given by the expressions t₁ = 6 + 8(x₁/c₁) and t₂ = 10 + 3(x2/c2), where the x's are expressed in thousands of vehicles per hour and the c's are the route capacities in thousands of vehicles per hour. Initially, the capacities of routes 1 and 2 are 4000 and 2000 veh/h, respectively. A reconstruction project on route 1 reduces the capacity to 3000 veh/h, but total traffic demand is unaffected. Observational studies note a 35.28-second increase in average travel time on route 1 and a 68.5% increase in flow on route 2 after reconstruction begins. User-equilibrium conditions exist before and during reconstruction. If both routes are always used, determine equilibrium flows and travel times before and after reconstruction begins.

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