Structural Analysis, Si Edition
5th Edition
ISBN: 9781285051505
Author: Aslam Kassimali
Publisher: Cengage Learning
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Chapter 13, Problem 33P
To determine
Calculate the support reactions for the given beam using method of consistent deformation.
Sketch the shear and bending moment diagrams for the given beam.
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A steel, possessing an eutectoid composition, undergoes a gradual cooling process from 800°C to
600°C. Outline the transformation, equilibrium microstructure, and provide approximate component
proportions.
Describe the resultant non-equilibrium microstructure in two scenarios:
a) the steel is rapidly cooled from 800°C to 600°C within 1 s, and then held at such temperature;
b) the steel is rapidly cooled from 800°C to 600°C within 1 s, maintained at this temperature for
5 s, and subsequently quenched to room temperature.
Use the provided diagrams.
Temperature (°C)
1600
1538°C
1493°C
1400
L
1394°C
Y+L
1200-
1147°C
2.14
Y. Austenite
4.30
1000
912°C
Y+ FeC
800
a
600
400
0
(Fe)
0.76
0.022
a, Ferrite
2
a + Fe3C
3
Composition (wt% C)
727°C
Cementite (Fe3C)
4
5
6
6.7
Please show the complete solution. The answers in this problem must be:
1. 16.25 kN
2. 51.725 kN
3. 45 000 mm²
4. 52.086 kN
5. 165.776 MPa
6. 62. 572 kN
7. 199. 173 MPa
8. 68.579 kN
Chapter 13 Solutions
Structural Analysis, Si Edition
Ch. 13 - Prob. 1PCh. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 4PCh. 13 - Prob. 5PCh. 13 - Prob. 6PCh. 13 - Prob. 7PCh. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - Prob. 10P
Ch. 13 - Prob. 11PCh. 13 - Prob. 12PCh. 13 - Prob. 13PCh. 13 - Prob. 14PCh. 13 - Prob. 15PCh. 13 - Prob. 16PCh. 13 - Prob. 17PCh. 13 - Prob. 18PCh. 13 - Prob. 19PCh. 13 - Prob. 20PCh. 13 - Prob. 21PCh. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - Prob. 24PCh. 13 - Prob. 25PCh. 13 - Prob. 26PCh. 13 - Prob. 27PCh. 13 - Prob. 28PCh. 13 - Prob. 29PCh. 13 - Prob. 30PCh. 13 - Prob. 31PCh. 13 - Prob. 32PCh. 13 - Prob. 33PCh. 13 - Prob. 34PCh. 13 - Prob. 35PCh. 13 - Prob. 36PCh. 13 - Prob. 37PCh. 13 - Prob. 38PCh. 13 - Prob. 39PCh. 13 - Prob. 41PCh. 13 - Prob. 42PCh. 13 - Prob. 43PCh. 13 - Prob. 44PCh. 13 - Prob. 45PCh. 13 - Prob. 46PCh. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Prob. 50PCh. 13 - Prob. 51PCh. 13 - Prob. 52PCh. 13 - Prob. 53PCh. 13 - Prob. 54PCh. 13 - Prob. 55PCh. 13 - Prob. 56PCh. 13 - Prob. 57PCh. 13 - Prob. 58PCh. 13 - Prob. 59PCh. 13 - Prob. 60PCh. 13 - Prob. 61P
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