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Hi i need to carry out a propagation of Young's modulus to find the overall error for it. I have the readings and I have calculated the overall error for E (for Cantilever beam) but I'm not sure if it is correct. Pls could it be checked or could I have some help with it please. Thanks.

Hi i need to carry out a propagation of Young's modulus to find the overall error for it. I have the readings and I have calculated the overall error for E (for Cantilever beam) but I'm not sure if it is correct. Pls could it be checked or could I have some help with it please. Thanks.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Hi i need to carry out a propagation of Young's modulus to find the overall error for it. I have the readings and I have calculated the overall error for E (for Cantilever beam) but I'm not sure if it is correct. Pls could it be checked or could I have some help with it please. Thanks.

Calculate overall error for E: Relative uncertainity: E= FL 31S ΔΕ SAL 1. 4. 20-8-20 第一。 E 4€ = 4/1 AE_AF_AS E F مام AF = 0.01 F for Cantilever Beam: = Absolore Uncertainity = Δδ 0.01 = 3.24 x 10-³ (Error / uncertaining in measurement of deflection) S 3.09 Relative Uncertaining = 0.01 -(-3.24x10-³) = 0.01324 Absolute Uncertainity for Simply - Supported Beam: X 168 061-0972 = 22.251 = 0.01324 x 168 061-0972 100 Relative uncertai 100 ncertainity x measured value } € = 168 061.0972 MPa
Transcribed Image Text:Calculate overall error for E: Relative uncertainity: E= FL 31S ΔΕ SAL 1. 4. 20-8-20 第一。 E 4€ = 4/1 AE_AF_AS E F مام AF = 0.01 F for Cantilever Beam: = Absolore Uncertainity = Δδ 0.01 = 3.24 x 10-³ (Error / uncertaining in measurement of deflection) S 3.09 Relative Uncertaining = 0.01 -(-3.24x10-³) = 0.01324 Absolute Uncertainity for Simply - Supported Beam: X 168 061-0972 = 22.251 = 0.01324 x 168 061-0972 100 Relative uncertai 100 ncertainity x measured value } € = 168 061.0972 MPa
Error propagation (from lective notes) E = f(L, F, b, S, [F/Smax]) For a Cantilever beam: E = FL³ 31Smax 2 Equation: (62)² + (6 A)² + (588)² + (doc)" f = F=2N L=360mm S = 3,09mm E = 2 × (360³) =168 061. 0972 MPa 3x59.85x3.09 Uncelhaining onb = ±0.001 uncertainity on L = ± 0.05 Em or ± 0.5mm on
Transcribed Image Text:Error propagation (from lective notes) E = f(L, F, b, S, [F/Smax]) For a Cantilever beam: E = FL³ 31Smax 2 Equation: (62)² + (6 A)² + (588)² + (doc)" f = F=2N L=360mm S = 3,09mm E = 2 × (360³) =168 061. 0972 MPa 3x59.85x3.09 Uncelhaining onb = ±0.001 uncertainity on L = ± 0.05 Em or ± 0.5mm on
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