VECTOR MECH. FOR EGR: STATS & DYNAM (LL
12th Edition
ISBN: 9781260663778
Author: BEER
Publisher: MCG
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Chapter 6.3, Problem 6.117P
To determine
The vertical reactions at
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alpha 1 is not zero
alpha 1 can equal alpha 2
use velocity triangle to solve for alpha 1
USE MATLAB ONLY
provide typed code
solve for velocity triangle and dont provide copied answer
Turbomachienery .
GIven:
vx = 185 m/s, flow angle = 60 degrees, (leaving a stator in axial flow) 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',...…
3. Find a basis of eigenvectors and diagonalize.
4
0
-19
7
a.
b.
1-42
16
12-20
[21-61
2. Find the eigenvalues. Find the corresponding eigenvectors.
6
2
-21
[0 -3
1
3 31
a.
2 5
0
b.
3 0
-6
C.
1
1 0
-2 0
7
L6
6
0
1
1
2.
(Hint: λ =
= 3)
Chapter 6 Solutions
VECTOR MECH. FOR EGR: STATS & DYNAM (LL
Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Determine the force in each member of the truss...
Ch. 6.1 - Determine the force in each member of the Gambrel...Ch. 6.1 - Determine the force in each member of the Howe...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Determine the force in each member of the Warren...Ch. 6.1 - Solve Problem 6.15 assuming that the load applied...Ch. 6.1 - Determine the force in each member of the Pratt...Ch. 6.1 - The truss shown is one of several supporting an...Ch. 6.1 - Determine the force in each member of the Pratt...Ch. 6.1 - Prob. 6.20PCh. 6.1 - Determine the force in each of the members located...Ch. 6.1 - Determine the force in member DE and in each of...Ch. 6.1 - Determine the force in each of the members located...Ch. 6.1 - The portion of truss shown represents the upper...Ch. 6.1 - For the tower and loading of Prob. 6.24 and...Ch. 6.1 - Solve Problem 6.24 assuming that the cables...Ch. 6.1 - Determine the force in each member of the truss...Ch. 6.1 - Determine the force in each member of the truss...Ch. 6.1 - Determine whether the trusses of Problems 6.31a,...Ch. 6.1 - Determine whether the trusses of Problems 6.31b,...Ch. 6.1 - For the given loading, determine the zero-force...Ch. 6.1 - Prob. 6.32PCh. 6.1 - For the given loading, determine the zero-force...Ch. 6.1 - Prob. 6.34PCh. 6.1 - Prob. 6.35PCh. 6.1 - Prob. 6.36PCh. 6.1 - The truss shown consists of six members and is...Ch. 6.1 - The truss shown consists of nine members and is...Ch. 6.1 - The truss shown consists of nine members and is...Ch. 6.1 - Solve Prob. 6.39 for P = 0 and Q = (900 N)k. 6.39...Ch. 6.1 - The truss shown consists of 18 members and is...Ch. 6.1 - The truss shown consists of 18 members and is...Ch. 6.2 - Determine the force in members BD and DE of the...Ch. 6.2 - Determine the force in members DG and EG of the...Ch. 6.2 - Determine the force in members BD and CD of the...Ch. 6.2 - Determine the force in members DF and DG of the...Ch. 6.2 - A floor truss is loaded as shown. Determine the...Ch. 6.2 - A floor truss is loaded as shown. Determine the...Ch. 6.2 - Determine the force in members CD and DF of the...Ch. 6.2 - Determine the force in members CE and EF of the...Ch. 6.2 - Determine the force in members DE and DF of the...Ch. 6.2 - Prob. 6.52PCh. 6.2 - Determine the force in members DF and DE of the...Ch. 6.2 - Prob. 6.54PCh. 6.2 - A Pratt roof truss is loaded as shown. Determine...Ch. 6.2 - A Pratt roof truss is loaded as shown. Determine...Ch. 6.2 - A Howe scissors roof truss is loaded as shown....Ch. 6.2 - A Howe scissors roof truss is loaded as shown....Ch. 6.2 - Determine the force in members AD, CD, and CE of...Ch. 6.2 - Determine the force in members DG, FG, and FH of...Ch. 6.2 - Determine the force in member GJ of the truss...Ch. 6.2 - Determine the force in members DG and FH of the...Ch. 6.2 - Determine the force in members CD and JK of the...Ch. 6.2 - Determine the force in members DE and KL of the...Ch. 6.2 - The diagonal members in the center panels of the...Ch. 6.2 - The diagonal members in the center panels of the...Ch. 6.2 - Prob. 6.67PCh. 6.2 - Prob. 6.68PCh. 6.2 - Classify each of the structures shown as...Ch. 6.2 - Classify each of the structures shown as...Ch. 6.2 - Prob. 6.71PCh. 6.2 - 6.70 through 6.74 classify as determinate or...Ch. 6.2 - 6.70 through 6.74 classify as determinate or...Ch. 6.2 - 6.70 through 6.74 classify as determinate or...Ch. 6.3 - For the frame and loading shown, draw the...Ch. 6.3 - For the frame and loading shown, draw the...Ch. 6.3 - Draw the free-body diagram(s) needed to determine...Ch. 6.3 - Knowing that the pulley has a radius of 0.5 m,...Ch. 6.3 - and 6.76 Determine the force in member BD and the...Ch. 6.3 - and 6.76 Determine the force in member BD and the...Ch. 6.3 - For the frame and loading shown, determine the...Ch. 6.3 - Determine the components of all forces acting on...Ch. 6.3 - The hydraulic cylinder CF, which partially...Ch. 6.3 - The hydraulic cylinder CF, which partially...Ch. 6.3 - Determine the components of all forces acting on...Ch. 6.3 - Determine the components of all forces acting on...Ch. 6.3 - Determine the components of the reactions at A and...Ch. 6.3 - Determine the components of the reactions at D and...Ch. 6.3 - Determine the components of the reactions at A and...Ch. 6.3 - Determine the components of the reactions at A and...Ch. 6.3 - Prob. 6.87PCh. 6.3 - The 48-lb load can be moved along the line of...Ch. 6.3 - The 48-lb load is removed and a 288-lb in....Ch. 6.3 - (a) Show that, when a frame supports a pulley at...Ch. 6.3 - Knowing that each pulley has a radius of 250 mm,...Ch. 6.3 - Knowing that the pulley has a radius of 75 mm,...Ch. 6.3 - Two 9-in.-diameter pipes (pipe 1 and pipe 2) are...Ch. 6.3 - Prob. 6.94PCh. 6.3 - Prob. 6.95PCh. 6.3 - Prob. 6.96PCh. 6.3 - Prob. 6.97PCh. 6.3 - Prob. 6.98PCh. 6.3 - Knowing that P = 90 lb and Q = 60 lb, determine...Ch. 6.3 - Knowing that P = 90 lb and Q = 60 lb, determine...Ch. 6.3 - For the frame and loading shown, determine the...Ch. 6.3 - For the frame and loading shown, determine the...Ch. 6.3 - Knowing that P = 15 lb and Q = 65 lb, determine...Ch. 6.3 - Knowing that P = 25 lb and Q = 55 lb, determine...Ch. 6.3 - For the frame and loading shown, determine the...Ch. 6.3 - Prob. 6.106PCh. 6.3 - The axis of the three-hinge arch ABC is a parabola...Ch. 6.3 - The axis of the three-hinge arch ABC is a parabola...Ch. 6.3 - Prob. 6.109PCh. 6.3 - Prob. 6.110PCh. 6.3 - 6.111, 6.112, and 6.113 Members ABC and CDE are...Ch. 6.3 - Prob. 6.112PCh. 6.3 - 6.111, 6.112, and 6.113 Members ABC and CDE are...Ch. 6.3 - Members ABC and CDE are pin-connected at C and...Ch. 6.3 - Solve Prob. 6.112 assuming that the force P is...Ch. 6.3 - Solve Prob. 6.114 assuming that the force P is...Ch. 6.3 - Prob. 6.117PCh. 6.3 - Prob. 6.118PCh. 6.3 - 6.119 through 6.121 Each of the frames shown...Ch. 6.3 - 6.119 through 6.121 Each of the frames shown...Ch. 6.3 - 6.119 through 6.121 Each of the frames shown...Ch. 6.4 - An 84-lb force is applied to the toggle vise at C....Ch. 6.4 - For the system and loading shown, draw the...Ch. 6.4 - Prob. 6.7FBPCh. 6.4 - The position of member ABC is controlled by the...Ch. 6.4 - The shear shown is used to cut and trim...Ch. 6.4 - A 100-lb force directed vertically downward is...Ch. 6.4 - Prob. 6.124PCh. 6.4 - The control rod CE passes through a horizontal...Ch. 6.4 - Solve Prob. 6.125 when (a) = 0, (b) = 6. Fig....Ch. 6.4 - The press shown is used to emboss a small seal at...Ch. 6.4 - The press shown is used to emboss a small seal at...Ch. 6.4 - Prob. 6.129PCh. 6.4 - The pin at B is attached to member ABC and can...Ch. 6.4 - Arm ABC is connected by pins to a collar at B and...Ch. 6.4 - Arm ABC is connected by pins to a collar at B and...Ch. 6.4 - The Whitworth mechanism shown is used to produce a...Ch. 6.4 - Prob. 6.134PCh. 6.4 - and 6.136 Two rods are connected by a slider block...Ch. 6.4 - and 6.136 Two rods are connected by a slider block...Ch. 6.4 - 6.137 and 6.138 Rod CD is attached to the collar D...Ch. 6.4 - 6.137 and 6.138 Rod CD is attached to the collar D...Ch. 6.4 - Two hydraulic cylinders control the position of...Ch. 6.4 - Prob. 6.140PCh. 6.4 - A steel ingot weighing 8000 lb is lifted by a pair...Ch. 6.4 - If the toggle shown is added to the tongs of Prob....Ch. 6.4 - A 9-m length of railroad rail of mass 40 kg/m is...Ch. 6.4 - Prob. 6.144PCh. 6.4 - The pliers shown are used to grip a...Ch. 6.4 - Prob. 6.146PCh. 6.4 - In using the bolt cutter shown, a worker applies...Ch. 6.4 - The upper blade and lower handle of the...Ch. 6.4 - Prob. 6.149PCh. 6.4 - and 6.150 Determine the force P that must be...Ch. 6.4 - Prob. 6.151PCh. 6.4 - Prob. 6.152PCh. 6.4 - The elevation of the platform is controlled by two...Ch. 6.4 - For the frame and loading shown, determine the...Ch. 6.4 - The telescoping arm ABC is used to provide an...Ch. 6.4 - The telescoping arm ABC of Prob. 6.155 can be...Ch. 6.4 - The motion of the backhoe bucket shown is...Ch. 6.4 - Prob. 6.158PCh. 6.4 - The gears A and D are rigidly attached to...Ch. 6.4 - In the planetary gear system shown, the radius of...Ch. 6.4 - Two shafts AC and CF, which lie in the vertical xy...Ch. 6.4 - Two shafts AC and CF, which lie in the vertical xy...Ch. 6.4 - The large mechanical tongs shown are used to grab...Ch. 6 - Using the method of joints, determine the force in...Ch. 6 - Using the method of joints, determine the force in...Ch. 6 - A stadium roof truss is loaded as shown. Determine...Ch. 6 - A stadium roof truss is loaded as shown. Determine...Ch. 6 - Determine the components of all forces acting on...Ch. 6 - Prob. 6.169RPCh. 6 - Knowing that the pulley has a radius of 50 mm,...Ch. 6 - For the frame and loading shown, determine the...Ch. 6 - For the frame and loading shown, determine the...Ch. 6 - Water pressure in the supply system exerts a...Ch. 6 - A couple M with a magnitude of 1.5 kNm is applied...Ch. 6 - Prob. 6.175RP
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- USE MATLAB ONLY provide typed code solve for velocity triangle and dont provide copied answer Turbomachienery . GIven: vx = 185 m/s, flow angle = 60 degrees, (leaving a stator in axial flow) 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),...…arrow_forwardUSE MATLAB ONLY provide typed code solve for velocity triangle and dont provide copied answer 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]), ...…arrow_forwardThe answer should equal to 1157. Please sent me the solution. Thank you!arrow_forward
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