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a) Determine the vertical displacement, Aby at the left of point B and horizontal displacement Ach...
Castigliano’s Theorem Determine the horizontal and vertical displacement at point E (in millimeters). E = 200...
Castigliano’s Theorem
Determine the horizontal and vertical displacement at point E (in millimeters). E = 200 GPa. All
the bars have an area of 5000 mm2
75 KN 4 m 4 m ITm
2. Determine the vertical displacement at joint B and horizontal displacement at joint D using Castigliano's...
2. Determine the vertical displacement at joint B and horizontal displacement at joint D using Castigliano's Second Theorem. The truss is pinned and roller at A and C, respectively. Use, E = 200 GPa and A = 2400 mm. E = 200 x 10°N/m². 20 KN 60 CAB 4 m 3m 3m
8-55 : Determine the vertical displacement of point C. EI is constant. Use the method of...
8-55 : Determine the vertical displacement of point C. EI is
constant. Use the method of virtual work.
-55. Determine the vertical displacement of point C. El is constant. Use the method of virtual work. $-56. Solve Prob. 8-55 using Castigliano's theorem. 80 kN m 20 kN B 4 m Probs. 8-55/56
Use the method of Virtual Work and Determine he horizontal displacement of point A on the...
Use the method of Virtual
Work and Determine he
horizontal displacement of
point A on the angle bracket
due to the concentrated
force P. The bracket is fixed
connected to its support. EI is
constant. Consider only the
effect of bending.
L B C L PI A
5. Determine the vertical displacement at point A of the frame. Choose the coordinate system as...
5. Determine the vertical displacement at point A of the frame. Choose the coordinate system as shown in the figure. EI is constant. Use the method of virtual work (15 points). 2.0 kN/m 1.5 kN/m 1.5 m 1m2m
5-Use moment area method. Determine the vertical displacement of point D. Use moment area method. A is fixed, B is a hinge and C is a roller. Note that El is not constant. 2KN 2 KN/m EI EI D 2E...
5-Use moment area method. Determine the vertical displacement of point D. Use moment area method. A is fixed, B is a hinge and C is a roller. Note that El is not constant. 2KN 2 KN/m EI EI D 2EI 1m
5-Use moment area method. Determine the vertical displacement of point D. Use moment area method. A is fixed, B is a hinge and C is a roller. Note that El is not constant. 2KN 2 KN/m EI EI D...
2. Find the horizontal deflection at point D, vertical deflection at C, and rotational displacement at...
2. Find the horizontal deflection at point D, vertical
deflection at C, and rotational displacement at C. Given I=120in^4,
E=290 kips/in^2
Use the stiffness method to determine the horizontal and vertical components of the displacement at Joints...
Use the stiffness method to determine the horizontal and vertical components of the displacement at Joints C and D. For all bars, E = 206.8 GPa and A = 1290 mm². Take i = 70 kN and j = 80 kN. 3.66 m 4.88 m Joint C: a) Az = b) 4y = Joint D: c) 4, = d) 4, =
Structural Analysis. Determine the vertical displacement of joint C. Assume the supports A and E are...
Structural Analysis. Determine the vertical displacement of joint
C. Assume the supports A and E are pins and joints B and C are pins
connected. EI is constant. Use the method of virtual work.
Question 1 (25%) For the truss shown on figure 1, determine the horizontal displacement of point...
Question 1 (25%) For the truss shown on figure 1, determine the horizontal displacement of point C when P 1000 N and P2 -0. Also, determine the vertical displacement of point F when P 0 et P2 1000 N. All members are prismatic and have the same elastic modulus fixed at 200 GPa. Area of each member is indicated in brackets (mm2). A (4000)B(400C (3000 (3000 2,75 D(5000 E(5000) Pi Figure 1
Castigliano’s Theorem
Determine the horizontal and vertical displacement at point E (in millimeters). E = 200 GPa. All
the bars have an area of 5000 mm2
75 KN 4 m 4 m ITm
2. Determine the vertical displacement at joint B and horizontal displacement at joint D using Castigliano's Second Theorem. The truss is pinned and roller at A and C, respectively. Use, E = 200 GPa and A = 2400 mm. E = 200 x 10°N/m². 20 KN 60 CAB 4 m 3m 3m
8-55 : Determine the vertical displacement of point C. EI is
constant. Use the method of virtual work.
-55. Determine the vertical displacement of point C. El is constant. Use the method of virtual work. $-56. Solve Prob. 8-55 using Castigliano's theorem. 80 kN m 20 kN B 4 m Probs. 8-55/56
Use the method of Virtual
Work and Determine he
horizontal displacement of
point A on the angle bracket
due to the concentrated
force P. The bracket is fixed
connected to its support. EI is
constant. Consider only the
effect of bending.
L B C L PI A
5. Determine the vertical displacement at point A of the frame. Choose the coordinate system as shown in the figure. EI is constant. Use the method of virtual work (15 points). 2.0 kN/m 1.5 kN/m 1.5 m 1m2m
5-Use moment area method. Determine the vertical displacement of point D. Use moment area method. A is fixed, B is a hinge and C is a roller. Note that El is not constant. 2KN 2 KN/m EI EI D 2EI 1m
5-Use moment area method. Determine the vertical displacement of point D. Use moment area method. A is fixed, B is a hinge and C is a roller. Note that El is not constant. 2KN 2 KN/m EI EI D...
2. Find the horizontal deflection at point D, vertical
deflection at C, and rotational displacement at C. Given I=120in^4,
E=290 kips/in^2
Use the stiffness method to determine the horizontal and vertical components of the displacement at Joints C and D. For all bars, E = 206.8 GPa and A = 1290 mm². Take i = 70 kN and j = 80 kN. 3.66 m 4.88 m Joint C: a) Az = b) 4y = Joint D: c) 4, = d) 4, =
Structural Analysis. Determine the vertical displacement of joint
C. Assume the supports A and E are pins and joints B and C are pins
connected. EI is constant. Use the method of virtual work.
Question 1 (25%) For the truss shown on figure 1, determine the horizontal displacement of point C when P 1000 N and P2 -0. Also, determine the vertical displacement of point F when P 0 et P2 1000 N. All members are prismatic and have the same elastic modulus fixed at 200 GPa. Area of each member is indicated in brackets (mm2). A (4000)B(400C (3000 (3000 2,75 D(5000 E(5000) Pi Figure 1
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