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Given the composite section below, calculate IX and IY 10" 5" 6" Calculations I.D. Area Ix+A...
Determine the Moment of Inertia Ix and Iy of the composite cross section about the centroidal x and y axes. Parallel Axis Theorem I = I + Ad2
Determine the Moment of Inertia Ix and Iy of the composite cross section about the centroidal x and y axes. Parallel Axis Theorem I = I + Ad2 HINT: 1st find the composite centroidal x and y axes, 2nd find the distance from the centroids of each section to the new composite centroidal axis, 3rd calculate the centroidal Ix and ly and areas using formulas for common shapes, 4th use the parallel axis theorem to calculate the moment of inertia. Also find...
Code that needs to be modified: #include <stdio.h> #include <math.h> int main(void) { FILE * fileout; int ix,iy,it,Nt; double newV[31][21],V[31][21],x,dx,y,dy; fileout=fopen("buckbeak....
Code that needs to be modified: #include <stdio.h> #include <math.h> int main(void) { FILE * fileout; int ix,iy,it,Nt; double newV[31][21],V[31][21],x,dx,y,dy; fileout=fopen("buckbeak.dat","w"); printf("\nEnter number of iterations "); scanf("%d",&Nt); dx=0.10; dy=0.10; for(iy=0; iy<21; iy=iy+1) { for(ix=0; ix<31; ix=ix+1) { V[ix][iy]=0.0; } } iy=20; for (ix=0;ix<31; ix=ix+1) { V[ix][iy]=8.0; } for (it=0; it<Nt;it=it+1) { for(iy=1; iy<20;iy=iy+1) { for(ix=1;ix<30; ix=ix+1) { newV[ix][iy]=0.25*(V[ix+1][iy]+V[ix-1][iy]+V[ix][iy+1]+V[ix][iy-1]); } } for (iy=1; iy<20; iy=iy+1) { for(ix=1; ix<30; ix=ix+1) { V[ix][iy]=newV[ix][iy]; } } } for (iy=0;iy<21;iy=iy+1) { y=dy*iy; for (ix=0;ix<31;ix=ix+1) {...
Also for part b, use parallel axis theorem to calculate x prime and y prime axis....
Also for part b, use parallel axis theorem to calculate x prime
and y prime axis.
(a) Determine the moment of inertia of the cross-sectional area of the beam about the x- axis and y-axis. (6) Using the parallel axis theorem, determine the moment of inertia of the cross- sectional area about the x'-axis and y'-axis YOU MUST USE THE TABLE PROVIDED FOR (a) ABOVE. 150 mm -- 150 mm 20 mm 200 mm 20 mm 200 mm 20 mm...
3. For the following composite area shown below. Shaded regions have material while white regions are...
3. For the following composite area shown below. Shaded regions have material while white regions are empty. Include proper units. a. Find the location of the centroid measured from the shown X and Y axes. b. Calculate the moment of inertia and radius of gyration about the indicated axes fYc centroidal Ixc=bh3/12 and lyc = hb3/12 h Xc b 4Yc centroidal Ixe = 1 r*/4 and Iyo = r4/4 Xc Kx = = TEM Ky = { 6" X- (5...
An area is defined by two curves y = x and y = x2 as shown...
An area is defined by two curves y = x and y = x2 as shown below. (a) (2 pt) Define vertical and horizontal infinitesimal elements. (b) (1 pt) Find the total area. (c) (2 pts) Calculate the x- and y-coordinates of the centroid C. (d) (2 pts) Calculate area moments of inertia about x and y axes (Ix and Iy) first. (e) (2 pts) Apply the parallel axis theorem to find area moments of inertia about the centroidal axis...
Calculate the Y values corresponding to the X values given below. Find the critical values for X ...
Calculate the Y values corresponding to the X values given below. Find the critical values for X for the given polynomial by finding the X values among those given where the first derivative, dv/dx- 0 and/orn X values where the second derivative, d-y/dx2-0. Be sure to find the sign (+ or-) of dv/dx and of d'y/dx2 at all X values. Using the first and second derivative tests with the information you have calculated, determine which X value(s) represent maximums (MAX),...
Calculate the Y values corresponding to the X values given below. Find the critical values for...
Calculate the Y values corresponding to the X values given below. Find the critical values for X for the given polynomial by finding the X values among those given where the first derivative, dv/dx- 0 and/orn X values where the second derivative, d-y/dx2-0. Be sure to find the sign (+ or-) of dv/dx and of d'y/dx2 at all X values. Using the first and second derivative tests with the information you have calculated, determine which X value(s) represent maximums (MAX),...
Problem # 1: (70 points) Solve the following problems (a) and (b) using Laplace Transform: a) (7 ...
Problem # 1: (70 points) Solve the following problems (a) and (b) using Laplace Transform: a) (7 points) y(0)-y'(0)-0 y"(0)-1 b) (dX/d't) + 3 (dy/dt) + 3y-0 (7 points) (d'x/d't) +3y-te' x(0) = 0 x'(0) = 2 y(0) = 0 c) An nxn matrix A is said to be skew-symmetric if AT--A. If A is a 5x5 skew-symmetric matrix, show that 9detA)-0 (4 Points) d) Suppose A is a 5x5 matrix for which (detA) =-7, what is the value of...
Question ) a) For the composite area shown, determine the position of the centroid, (x,y) options:...
Question ) a) For the composite area shown, determine the position of the centroid, (x,y) options: a) none of these are correct. b) (0,0) c) (4.8, 2.6) m d) (9, 4.5) m e) (2.6, 4.8) m b) For the triangular shape shown, locate the horizontal position of the centroid, x. Question 17 options: a) b/2 b) h/2 c) 2h/3 d) h/3 e) b/3 c) For the triangular shape shown, locate the vertical position of the centroid, y. options: a) b/3...
d. For the area shown below (dimensions in ft), determine the centroid location (ū and y)...
d. For the area shown below (dimensions in ft), determine the centroid location (ū and y) and calculate the moments of inertia (Iz' and Iy about the centroid axes). y 3 ft 3 ft + 1 ft 1.5 ft X
Also for part b, use parallel axis theorem to calculate x prime
and y prime axis.
(a) Determine the moment of inertia of the cross-sectional area of the beam about the x- axis and y-axis. (6) Using the parallel axis theorem, determine the moment of inertia of the cross- sectional area about the x'-axis and y'-axis YOU MUST USE THE TABLE PROVIDED FOR (a) ABOVE. 150 mm -- 150 mm 20 mm 200 mm 20 mm 200 mm 20 mm...
3. For the following composite area shown below. Shaded regions have material while white regions are empty. Include proper units. a. Find the location of the centroid measured from the shown X and Y axes. b. Calculate the moment of inertia and radius of gyration about the indicated axes fYc centroidal Ixc=bh3/12 and lyc = hb3/12 h Xc b 4Yc centroidal Ixe = 1 r*/4 and Iyo = r4/4 Xc Kx = = TEM Ky = { 6" X- (5...
Calculate the Y values corresponding to the X values given below. Find the critical values for X for the given polynomial by finding the X values among those given where the first derivative, dv/dx- 0 and/orn X values where the second derivative, d-y/dx2-0. Be sure to find the sign (+ or-) of dv/dx and of d'y/dx2 at all X values. Using the first and second derivative tests with the information you have calculated, determine which X value(s) represent maximums (MAX),...
Calculate the Y values corresponding to the X values given below. Find the critical values for X for the given polynomial by finding the X values among those given where the first derivative, dv/dx- 0 and/orn X values where the second derivative, d-y/dx2-0. Be sure to find the sign (+ or-) of dv/dx and of d'y/dx2 at all X values. Using the first and second derivative tests with the information you have calculated, determine which X value(s) represent maximums (MAX),...
Problem # 1: (70 points) Solve the following problems (a) and (b) using Laplace Transform: a) (7 points) y(0)-y'(0)-0 y"(0)-1 b) (dX/d't) + 3 (dy/dt) + 3y-0 (7 points) (d'x/d't) +3y-te' x(0) = 0 x'(0) = 2 y(0) = 0 c) An nxn matrix A is said to be skew-symmetric if AT--A. If A is a 5x5 skew-symmetric matrix, show that 9detA)-0 (4 Points) d) Suppose A is a 5x5 matrix for which (detA) =-7, what is the value of...
d. For the area shown below (dimensions in ft), determine the centroid location (ū and y) and calculate the moments of inertia (Iz' and Iy about the centroid axes). y 3 ft 3 ft + 1 ft 1.5 ft X
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