(b) A beam is subjected to a linearly increasing distributed load. The elastic curve (deflection) is shown in the figure. The equation to find the maximum deflection is given below. Create a matlab code where you can calculate the maximum deflection (dy/dx=0) using the bisection method. Use initial guesses of 1 and 4, L= 6.46 m, E = 59000 kN/cm2, I=35000 cm4, and w0= 2.5 kN/cm. What will be the value of x (location of maximum deflection) after 14 bisection iteration? wo -23 +2L?x³ – L^x) 120EIL dy wo (-5x4 + 6L²a² – Lª) da 120EIL Choices 1.4445 O 2.6001 O4.3335 O 2.889

Q5

2- Derive the rule-of-mixtures expression for the composite extensional modulus E₁ assuming the existence of an interphase region. The starting point for the derivation would be the model shown below. For simplicity, assume the interphase, like the matrix, is isotropic with modulus E¹. With an interphase region there is a volume fraction associated with the interphase (i.e.,V;). For this situation: vf + vm + vi = 1 H |w²||wm|

A 50.0N weight uniform 4 metre long beam is hanging from a cord held out at a 30° angle as shown. And unknown weight not shown in the diagram is also hanging 1 m from the X on the diagram. A) The tension in the cord is measured with a spring balance and found to be 130 N. find the counter clockwise torque from the cord about the X shown in the diagram. B) balance torques to find the torque from the unknown weight that is not shown in the diagram Hint: add the unknown weight to the diagram and do not forget to include the weight of the beam in your calculation

T'sec In helical spring experiment a student plotted the graph of T2 versus the oscillating mass (M), and Used the slope to find the spring :constant, the value of k is 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 O. O a. 13.3 N/m O b. 6.8N/m O c. 5 N/m O d. 3.3 N/m O e. 24 N/m 5 10 15 20 25 30 35 40 45 50 55 60 65 M (9) 70 75 80

You are designing a spherical tank to hold water for a small village. The volume of liquid it can hold can be computed as V = nh?(3R=h) %3D where V = volume [m³], h = depth of water in tank [m], and R = the tank radius [m]. Use Newton Raphson method with 1 iterations to find the relative percentage error in height calculation (e = 100|(hi+1 – hi)/h;) for storing 20 m³ of water with 10 m diameter-tank. Take T = 3.1416 and initial guess for h=R. %3D %3D Choices 61.5737 60.3422 30.7869 92.3606 Submit I Attempts 1 2 |

Use t'=20.4 instead of 8.4 and use the formulas attached

Q6