Question

can you help me to do BEAM DEFLECTION lab report with data and follow all steps answe all sections below too?

Thank you

Beam Length [in] h=Beam cross section height [in] b=Beam cross section width [in] L =Distance between supports [in] a=Load position from left support [mm] Load 1 [grams] Load 2 [grams] Load 3 [grams] x=Deflection position from left support [mm] Deflection 1 [mm] Deflection 2 [mm] Deflection 3 [mm] Material 40 0.123 1.019 36 697 150 250 350 308 2.9 4.2 6.2 Aluminum

this is beam lab report.

data below with formula

the formula we need to calculation for section B

fill up information for section A

calculation percentage error for section C and write discussion and conclusion for section D.

Answer 1

From the given data, the deflection values are calculated using the formula given at x=308mm. The reference Young's Modulus value is taken as 70000 MPa. The area moment of inertia for the given beam cross section is calculated first and the deflection is computed for each type of load i.e. 150 grams, 250 grams and 350 grams. Similarly, using the measured deflection values, the Young's Modulus is computed. All the three datasets are then compared for the reference values and the experimental values and the percentage error is calculated. In conclusion, we can say that the as the load on the beam increases the experimental values and the reference values converges.

Part Information 40" Leading Position Loading Material Beam length Distance b/w Support Aluminium 36" Applied load Applied bad Applied lund 697 mm 250 grann Meatureel Measured Deflecten Porition Measured Deflection Deflection Deflection 687 mm 2.goon 4.2mm 6.2 mm 150 grams data / Information Deflection data) Informection 350 ground 308, Pbx (2²- 6² - x²) y = GRIL x = 300 mm 3 (0-123X25-43x[1.0198 25-4) I= bh L = 36 = 914.4mm E = 70 GPa (for Alvorminium) a = 697mm b=(914.4-697) = 217.4mm P= 150 gram = (150 ) x9-81N P=1.4715N, 2.45250, y = (14715 ) x 217.4*300* {914.4 - 217.4² - 308} 34335N 6x[70x10°) x Ix (914.4) y= Due to waard of 1.47150 (150 ground) Due to load of 2-4525N (250 grown) ya Due to load of 3.435N (350 graud) y = 12 12 I = yerd. 65.7723 mm 2707 Ang mm 4.5ilom 6.31653 mm →

Young's Modules Calculation Y = 2 >(To Calauate Young'at Modulus, will be the experimental value.) Pbx (2²- 6² - x²) = 2.9 mm 622 Pba 150 gram € 2.9mm) . (2² - 6² - x²) by Ih E = 1.4715x(217.4) x 308x (914.4² - 217 4² - 308²) 308') >= 65343.4054 MPa -> (Due to 150 green 6x 2.9% 65.7723 x (914.4) E = 75196.776 MPa → (250 gramis k 4.2.com) → (350 grams us & 6.2mm) E = 71315.6 Mia Dataret Reference value Experimental value 7. Ehror Deflection. 2.707 mm 2.9 non 7.137 Young's Modulus 70000 Mia 65343.405 MPa 6.657. nd 2 Dataket Reference Experimental value f. Ennor Value 4.5118 mm 4.2 mm 6.91% Deflection Young's Modulers 70000 MPa 75196.776 Mia 7.42% rol 3 Dataset Reference Experimental Value value 4. Error 6.31653 mm 6.2 mm 1.847 Deflection Young's Modulue 70000 MPa 71315.6 MPa 1.887