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Question 2 (15 points): Tension, Compression and Zero-Force Members in a Truss Structure. Consider the truss...
Question 2 (15 points): Tension, Compression and Zero-Force Members in a Truss Structure. Consider the truss structure shown in Figure 2. 3P (kN) P (kN) I LI LL Figure 2: Elevation view of 27 bar truss structure. Vertical loads of 3P kN and P kN are applied at nodes B and D, respectively. [2a) (3 pts). Compute the magnitude and direction of the total support reactions at points A and C. [25] (3 pts). Identify the zero-force members (If you...
(a) Warren truss (b) Howe truss (c) Pratt truss (d) Baltimore truss (e) Parker truss Figure...
(a) Warren truss (b) Howe truss (c) Pratt truss (d) Baltimore truss (e) Parker truss Figure 2: Truss Types (Nielson Text) The truss bridge has the following properties/characteristics: 1. Span length (bottom chord): 168 ft 2. 14 panels (12 ft length per panel) 3. All diagonals are 45 degrees 4. Simple truss (all members are pin-connected and loads are only applied at the joints) 5. Simply-supported (pin at one end, roller at the other) 6. 13 ft width between trusses...
Q.3 For the non-parallel chord truss bridge shown in Fig. 3(a) (1) determine the influence lines...
Q.3 For the non-parallel chord truss bridge shown in Fig. 3(a) (1) determine the influence lines for Fco, Fca and Fee: (2) The bridge is to be designed for the equivalent moving load detailed in Fig. 3(b). Compute the maximum tensile and compressive axial forces in member Cd. (Answer: Fcd max, T = 133.46 kN) L L P-115 kN JI ,-10 kN/m 4.5m 6@5m (Note that L2 may be varied or split up to achieve the desired effects, and that...
1) Influence line for bars EI and DI 2) If a live load P = 60...
1) Influence line for bars EI and DI
2) If a live load P = 60 N is applied what will be maximum axial
force (magnitude) of bars EI and DI?
3) Is it tensile or compressive?
B D E F 2.0 m А J I H GS 4 bays at 2.0 m = 8.0 m
Q1. A 2 m long T-beam is built-in at one end and has a force of...
Q1. A 2 m long T-beam is built-in at one end and has a force of 7 kN applied at its free end. The dimensions of the cross-section of the beam are shown in Fig. Q1 and the force acts at 10° to the vertical though the centroid of the section. 7 KN 1 -10° 251 -y 100 1 44 32 44 all dimensions in mm Fig. Q1 - Cross-sectional Dimensions of T-beam (a) Find the position of the centroid...
Diameter of pin 2 mm. All pins are in single shear. Question 1: A light plane...
Diameter of pin 2 mm. All pins are in single shear.
Question 1: A light plane structure is supported by a roller at A and a pin at D and is subjected to a load of Pat F as shown in the figure. All the members have rectangular cross section with height 5 mm and thickness 1 mm. Tensile/Compressive strength of the members = 80 MPa, Shear strength of the pin = 50 MPa. Consider an appropriate factor of safety....
2. (30 pts.) 40 KN 40 KN 80 KN с D Consider the truss given. The...
2. (30 pts.) 40 KN 40 KN 80 KN с D Consider the truss given. The applied external concentrated forces are shown on the structure. Additionally support A is displaced to the downward direction 6 mm and temperature of member 1 is increased 40 °C. Consider all of these effects together and using Virtual Work Method calculate the horizontal displacement of joint D. A=1100 mm?, and E=2000 kN/mm2 and a=11.7x10-6 1/°c. 3 6 m 2 A B 5 m 3...
For the 3-D indeterminate (4-member) TRUSS structure shown in Figure 2A. Given that Px 10K (in...
For the 3-D indeterminate (4-member) TRUSS structure shown in Figure 2A. Given that Px 10K (in X-direction); Py none (in Y-direction); E 30,000 ksi; A 0.2 square inches. The nodal coordinates, the earth-quake displacement/settlement, and members' connectivity information are given aS Applied Load! Earth-Quake MEMBER #1 NODE # X node-i node-j 120.00" 160.00"| 80.00"| Px=-10 Kips none Py- none 120.00" 160.00"0.00"none 120.00"0.00" 0.00" none 0.00" 0.00"0.00" none 0.00" 0.00" 80.00" none none 2 none 4 4 none 4 +2.00" (in...
An alumninum (E = 68.9 GPa) cylindrical tube has an outer diameter of 200 mm, a wall thickness of...
An alumninum (E = 68.9 GPa) cylindrical tube has an outer diameter of 200 mm, a wall thickness of 7.5 mm, and an internal pressure of 5 MPa. It is subjected to a force with the axial and transverse components shown acting at the centroid of the free end of the tube 1. Verify that the tube meets the thin-wall criterion 2. Draw the left half of the tube, and show the equivalent force-couple system acting at the centroid of...
AC-CD- BC Exercise IV 20 PT a- Determine the reactions at the supports. b- Determine the force in each member of the truss c- State if the members are in tension or 3 ft compression d- If the maximum...
AC-CD- BC Exercise IV 20 PT a- Determine the reactions at the supports. b- Determine the force in each member of the truss c- State if the members are in tension or 3 ft compression d- If the maximum allowed in each beam is 400lb in tension and 600lb in compression, determine the maximum of admissible load P. 2 ft 2 ft Exercise V: 40 PT 1.6 kN 200 _ 400 mm + 45 The angle strut is welded to...
Question 2 (15 points): Tension, Compression and Zero-Force Members in a Truss Structure. Consider the truss structure shown in Figure 2. 3P (kN) P (kN) I LI LL Figure 2: Elevation view of 27 bar truss structure. Vertical loads of 3P kN and P kN are applied at nodes B and D, respectively. [2a) (3 pts). Compute the magnitude and direction of the total support reactions at points A and C. [25] (3 pts). Identify the zero-force members (If you...
(a) Warren truss (b) Howe truss (c) Pratt truss (d) Baltimore truss (e) Parker truss Figure 2: Truss Types (Nielson Text) The truss bridge has the following properties/characteristics: 1. Span length (bottom chord): 168 ft 2. 14 panels (12 ft length per panel) 3. All diagonals are 45 degrees 4. Simple truss (all members are pin-connected and loads are only applied at the joints) 5. Simply-supported (pin at one end, roller at the other) 6. 13 ft width between trusses...
Q.3 For the non-parallel chord truss bridge shown in Fig. 3(a) (1) determine the influence lines for Fco, Fca and Fee: (2) The bridge is to be designed for the equivalent moving load detailed in Fig. 3(b). Compute the maximum tensile and compressive axial forces in member Cd. (Answer: Fcd max, T = 133.46 kN) L L P-115 kN JI ,-10 kN/m 4.5m 6@5m (Note that L2 may be varied or split up to achieve the desired effects, and that...
1) Influence line for bars EI and DI
2) If a live load P = 60 N is applied what will be maximum axial
force (magnitude) of bars EI and DI?
3) Is it tensile or compressive?
B D E F 2.0 m А J I H GS 4 bays at 2.0 m = 8.0 m
Q1. A 2 m long T-beam is built-in at one end and has a force of 7 kN applied at its free end. The dimensions of the cross-section of the beam are shown in Fig. Q1 and the force acts at 10° to the vertical though the centroid of the section. 7 KN 1 -10° 251 -y 100 1 44 32 44 all dimensions in mm Fig. Q1 - Cross-sectional Dimensions of T-beam (a) Find the position of the centroid...
Diameter of pin 2 mm. All pins are in single shear.
Question 1: A light plane structure is supported by a roller at A and a pin at D and is subjected to a load of Pat F as shown in the figure. All the members have rectangular cross section with height 5 mm and thickness 1 mm. Tensile/Compressive strength of the members = 80 MPa, Shear strength of the pin = 50 MPa. Consider an appropriate factor of safety....
2. (30 pts.) 40 KN 40 KN 80 KN с D Consider the truss given. The applied external concentrated forces are shown on the structure. Additionally support A is displaced to the downward direction 6 mm and temperature of member 1 is increased 40 °C. Consider all of these effects together and using Virtual Work Method calculate the horizontal displacement of joint D. A=1100 mm?, and E=2000 kN/mm2 and a=11.7x10-6 1/°c. 3 6 m 2 A B 5 m 3...
For the 3-D indeterminate (4-member) TRUSS structure shown in Figure 2A. Given that Px 10K (in X-direction); Py none (in Y-direction); E 30,000 ksi; A 0.2 square inches. The nodal coordinates, the earth-quake displacement/settlement, and members' connectivity information are given aS Applied Load! Earth-Quake MEMBER #1 NODE # X node-i node-j 120.00" 160.00"| 80.00"| Px=-10 Kips none Py- none 120.00" 160.00"0.00"none 120.00"0.00" 0.00" none 0.00" 0.00"0.00" none 0.00" 0.00" 80.00" none none 2 none 4 4 none 4 +2.00" (in...
An alumninum (E = 68.9 GPa) cylindrical tube has an outer diameter of 200 mm, a wall thickness of 7.5 mm, and an internal pressure of 5 MPa. It is subjected to a force with the axial and transverse components shown acting at the centroid of the free end of the tube 1. Verify that the tube meets the thin-wall criterion 2. Draw the left half of the tube, and show the equivalent force-couple system acting at the centroid of...
AC-CD- BC Exercise IV 20 PT a- Determine the reactions at the supports. b- Determine the force in each member of the truss c- State if the members are in tension or 3 ft compression d- If the maximum allowed in each beam is 400lb in tension and 600lb in compression, determine the maximum of admissible load P. 2 ft 2 ft Exercise V: 40 PT 1.6 kN 200 _ 400 mm + 45 The angle strut is welded to...
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