A wood specimen having a square cross section of 2-inch x 2-inch (actual dimensions) was tested in bending by applying a load at the middle of the span, where the span between the simple supports was 28 inches.  The deflection under the load was measured (see below).  Plot the load versus deflection relationship.  Identify the proportional limit on the diagram.  Calculate the modulus of rupture.  Does the modulus of rupture truly represent the extreme fiber stresses in the specimen?  Comment on the assumptions used to compute the modulus of rupture and the actual response of the wood specimen

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A wood specimen having a square cross section of 2-inch x 2-inch (actual dimensions) was tested in bending by applying a load at the middle of the span, where the span between the simple supports was 28 inches.  The deflection under the load was measured (see below).  Plot the load versus deflection relationship.  Identify the proportional limit on the diagram.  Calculate the modulus of rupture.  Does the modulus of rupture truly represent the extreme fiber stresses in the specimen?  Comment on the assumptions used to compute the modulus of rupture and the actual response of the wood specimen

TABLE P10.23
Load (lb)
0
100
200
300
400
500
600
700
800
900
1000
1100
1200
1300
1400
Deflection (10-3 in.)
0
27.9
55.6
83.2
111.2
140.0
166.7
194.3
222.2
250.1
275.4
314.8
359.5
405.0
468.6 (failure)
Copyright ©2017 Pearson Education, All Rights Reserved
Transcribed Image Text:TABLE P10.23 Load (lb) 0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 1400 Deflection (10-3 in.) 0 27.9 55.6 83.2 111.2 140.0 166.7 194.3 222.2 250.1 275.4 314.8 359.5 405.0 468.6 (failure) Copyright ©2017 Pearson Education, All Rights Reserved
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