Answer to Question #270166 in Civil and Environmental Engineering for Dee

Question

Task 1

Table T1 lists experimental data for a tensile test performed on a novel high strength composite material for structural trusses.

Displacement (mm) 0 1 2 3 4 5 6 7 8 9 10

Tensile Stress (GPa) 0 10 14 16 18 19 20 21 22 23 23

Table T1. Tensile test to failure on composite material

a) Plot the data and identify the function type that best describes the data.

[Marks: 4/100]

b) Use linear regression to estimate the parameters of the function above. Check the effectiveness of your curve fitting parameters by plotting the experimental data (i.e. Table T1) and the data of your model fit. Also calculate the sum of the squares of the residuals (J) and the coefficient of determination (r2) to discuss about the quality of your model fit.

Answer 1

all the four parts are calculated below:

(a)

= weight of oil/ volume

=40x10^3 / 4.5

= 8.889x10^3 N/m^3

P= specific weight /acceleration density 

P=8.889x10^3 / 9.81

P=906.1 kg/m^3

(b)

S=specific weight of oil/specific weight of water 

S=8.889x10^3/ 1000x9.81

S=0.906

v=1/P

v=1/906.1

=1.1036x10^-3 m^3/kg