Question

TODEH Figure P2.26 shuws a unilorm beam sbjest to a linearly increusing distributed kd. As depicted in Flg. P2 deflection y (m) can be computed with (+21-1) y 120EIL (a) (b) FIGURE P2.2s where E the modalus of elasticity and / the moment of inertia ( plces of the following quantities versas distance along the heans Employ this equation and calculus to penerate MATLAD displacement Qs slope 10) d mone(M) -Eld yid shear [V Eld yid, and looding wr)IEld idy (a) (d) ie) Use the following parameters for your oomputation 600 om, E-500o0Nm1-30,000 cm, a-2.5Nem ad Ar 10 em Empioy the subelet feetion to display all the ploes vertically on the same page in the onder (a) to fe) lechade labels and use oonsistent MKS units when developing the plces Problem 2: Create four anorymous functions to represent the function te1 which is composed of the functions bn-6e, g01 3 cos y and foo-x Use the anonymous functions to plot Ge over the range o sxs4 Midterm%20Exam....docx Midterm%20Exam...docx Mid

Answer 1

scicomp fminsearch.m ma301.m datasearch1.m datasearch2.m w0=25;%in MKS units L 6; 2 = E-5 10 11; I-3* 10 (-4); 4 - X=0:0.1:L; steps of delta x= 10cm; 5 - y=w0/ (120*E*I*L) * (-x.^5+2* (L 2) x.13- (L 4).*x) slope=diff(y); moment-E*I*diff(y, 2); shear-E*I*diff(y,3); 10 loading=-E*I*diff (y, 4); 11 12 subplot (5,1,1); plot (x,y) xlabel ('distance 13- 14 15- along rod'); ylabel ('Displacement') 16- 17 subplot (5,1,2) plot (x (1:60), slope); 18 - 19 - xlabel ('distance along rod'); 20 Command Window

scicomp fminsearch.m plot (x (1:60), slope); datasearch1.m ma301.m datasearch2.m 19 xlabel (distance along rod') ; 20 ylabel (Slope ) 21 22 subplot (5,1,3) plot (x (1: 59) , moment); 23 24 xlabel ('distance along rod'); 25 ylabel ('Moment) 26 27 subplot (5,1,4); 28 plot (x (1:58), shear); 29- xlabel ('distance along rod 30- ylabel ("Shear'); 31 32 subplot (5,1,5) ; plot (x (1:57), loading) 33- 34 xlabel ('distance along rod"); 35 ylabel (Loading'); 36T 37 38
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