Chapter 13, Problem 13.3P

Problem 2: Consider the rectangular wood beam below. Use E=1.0. 1. Determine the slope at A. 2. Determine the largest deflection between A and B. Use the elastic curve equation. Show all work. (20%) 3 kN/m A 2.4 m - 50 mm AT 150 mm 0000 - B C 1.2 m→

Please give a clear solution.

USE MATLAB ONLY   Turbomachienery .   GIven:  vx = 185 m/s, flow angle = 60 degrees, R = 0.5, U = 150 m/s, b2 = -a3, a2 = -b3   Find: velocity triangle , a. magnitude of abs vel leaving rotor (m/s) b. flow absolute angles (a1, a2, a3) 3. flow rel angles (b2, b3) d. specific work done e. use code to draw vel. diagram     Use this code for plot      % plots Velocity Tri. in Ch4 function plotveltri(al1,al2,al3,b2,b3)   S1L = [0 1]; V1x = [0 0]; V1s = [0 1*tand(al3)];   S2L = [2 3]; V2x = [0 0]; V2s = [0 1*tand(al2)]; W2s = [0 1*tand(b2)];   U2x = [3 3]; U2y = [1*tand(b2) 1*tand(al2)];   S3L = [4 5]; V3x = [0 0]; V3r = [0 1*tand(al3)]; W3r = [0 1*tand(b3)];   U3x = [5 5]; U3y = [1*tand(b3) 1*tand(al3)];   plot(S1L,V1x,'k',S1L,V1s,'r',... S2L,V2x,'k',S2L,V2s,'r',S2L,W2s,'b',U2x,U2y,'g',... S3L,V3x,'k',S3L,V3r,'r',S3L,W3r,'b',U3x,U3y,'g',...... 'LineWidth',2,'MarkerSize',10),... axis([-1 6 -4 4]), ... title('Velocity Triangle'), ... xlabel('x'),yl

The wall of a furnace has a thickness of 5 cm and thermal conductivity of 0.7 W/m-°C. The inside surface is heated by convection with a hot gas at 402°C and a heat transfer coefficient of 37 W/m²-°C. The outside surface has an emissivity of 0.8 and is exposed to air at 27°C with a heat transfer coefficient of 20 W/m²-ºC. Assume that the furnace is inside a large room with walls, floor and ceiling at 27°C. Show the thermal circuit and determine the heat flux through the furnace wall. h₁ T₁ k -L T. sur ho E

Turbomachienery .   GIven:  vx = 185 m/s, flow angle = 60 degrees, R = 0.5, U = 150 m/s, b2 = -a3, a2 = -b3   Find: velocity triangle , a. magnitude of abs vel leaving rotor (m/s) b. flow absolute angles (a1, a2, a3) 3. flow rel angles (b2, b3) d. specific work done e. use code to draw vel. diagram     Use this code for plot      % plots Velocity Tri. in Ch4 function plotveltri(al1,al2,al3,b2,b3)   S1L = [0 1]; V1x = [0 0]; V1s = [0 1*tand(al3)];   S2L = [2 3]; V2x = [0 0]; V2s = [0 1*tand(al2)]; W2s = [0 1*tand(b2)];   U2x = [3 3]; U2y = [1*tand(b2) 1*tand(al2)];   S3L = [4 5]; V3x = [0 0]; V3r = [0 1*tand(al3)]; W3r = [0 1*tand(b3)];   U3x = [5 5]; U3y = [1*tand(b3) 1*tand(al3)];   plot(S1L,V1x,'k',S1L,V1s,'r',... S2L,V2x,'k',S2L,V2s,'r',S2L,W2s,'b',U2x,U2y,'g',... S3L,V3x,'k',S3L,V3r,'r',S3L,W3r,'b',U3x,U3y,'g',...... 'LineWidth',2,'MarkerSize',10),... axis([-1 6 -4 4]), ... title('Velocity Triangle'), ... xlabel('x'),ylabel('y'), grid

To save fuel during the heating season it is suggested that glass windows be covered at night with a 1.2 cm layer of polystyrene. Estimate the percent savings in energy and discuss the feasibility of this idea. Show the thermal circuit with and without the insulation panel. Consider a typical case of 0.2 cm thick window glass with inside and outside heat transfer coefficients of 6 and 32 W/m²-ºC. Lg←←Lp h T₁ T。 g kp insulation panel

A plate of thickness L and thermal conductivity k is exposed to a fluid at temperature T1 with a heat transfer coefficient h, on one side and T2 and h₂ on the other side. Determine the one-dimensional temperature distribution in the plate. Assume steady state and constant conductivity. L h h T%2 k Tx1 0x

Determine the heater capacity needed to maintain the inside temperature of a laboratory chamber at 38°C when placed in a room at 21°C. The chamber is cubical with each side measuring 35 cm. The walls are 1.2 cm thick and are made of polystyrene. The inside and outside heat transfer coefficients are 5 and 22 W/m²-°C.

(a) Refer to the above figure .What kind of controller is it ? (b) simplify the block diagramto derive the closed loop transfer function of the system. (C) What are the assumptions thatare needed to make to findthe controller gain ? What arethe value of Kp , Ti and Td ?