PROBLEM 2. A bracket is loaded as shown in the figure. In order to determine the location and weight of a particular hanging load P, a strain rosette is attached to the top of the bracket near the wall (assume strain gages are at the wall). The rosette has three gauges, each are 120° apart as shown in the diagram. The bracket material is steel, E = 210 GPa and v = 0.3. When the weight, P, is placed at a distance, s, on the rectangular bracket arm, the three gauges measure the following strains, ɛ.=224.8 microstrain, ɛ=- 118.3 microstrain, e=132.9 microstrain. From these three strains, determine the load, P, and the distance, s. 20 mm 12 mm 150 mm 1200 120° 1200

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter2: Axially Loaded Members
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Problem 2.2.10P: The device shown in the figure consists of a prismatic rigid pointer ABC supported by a uniform...
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PROBLEM 2. A bracket is loaded as shown in the figure. In order to determine the location and weight of
a particular hanging load P, a strain rosette is attached to the top of the bracket near the wall (assume
strain gages are at the wall). The rosette has three gauges, each are 120° apart as shown in the diagram.
The bracket material is steel, E = 210 GPa and v = 0.3. When the weight, P, is placed at a distance, s, on
the rectangular bracket arm, the three gauges measure the following strains, ɛ.=224.8 microstrain, ɛ,=-
118.3 microstrain, ɛ=132.9 microstrain. From these three strains, determine the load, P, and the distance,
S.
20 mm 12 mm
150 mm-
1200
120°
1200
Transcribed Image Text:PROBLEM 2. A bracket is loaded as shown in the figure. In order to determine the location and weight of a particular hanging load P, a strain rosette is attached to the top of the bracket near the wall (assume strain gages are at the wall). The rosette has three gauges, each are 120° apart as shown in the diagram. The bracket material is steel, E = 210 GPa and v = 0.3. When the weight, P, is placed at a distance, s, on the rectangular bracket arm, the three gauges measure the following strains, ɛ.=224.8 microstrain, ɛ,=- 118.3 microstrain, ɛ=132.9 microstrain. From these three strains, determine the load, P, and the distance, S. 20 mm 12 mm 150 mm- 1200 120° 1200
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