Homework Answers
Name 1Pag Question 1 (35 marks) Use the method of virtual work to determine the vertical displace...
structure design
Name 1Pag Question 1 (35 marks) Use the method of virtual work to determine the vertical displacement of joint C of the truss below The cross-sectional area of each member is A 300 mm2 and E- 200 GPa Note 1 GPa -1.0 x 10 kN/m 1 mm2-10 x 10-*m2 3 kN 2 m 2 m 1.5 m EA Set out wour computations as follows (a) Find the reactions at hinge support E and at roller support A b)...
The following truss is subjected to vertical loads of 20 KN at joints E and D....
The following truss is subjected to vertical loads of 20 KN at
joints E and D. In addition to the loads, support A settles by 5 mm
and member AB and BC are subjected to a temperature drop of 50°C.
Given Young’s modulus, E = 200 GPa, cross sectional area for each
member, A = 500 mm2 and coefficient of thermal expansion
of, α = 1.25 x 10-5/°C.
Find the internal forces in each member using force
method.
20 KN...
1. Consider following truss 24 kN 4.5 m 3.2 m 6 m 6 m Replace pins...
1. Consider following truss 24 kN 4.5 m 3.2 m 6 m 6 m Replace pins at A and B with forces and redraw the truss. Pin at joint B is replaced with Fax and FBY. Pin at joint A can be replaced with a singe force along the line of action of member AC. Why do we know direction of force exerted by pin at A onto the member AC a. b. Calculate extemal forces by setting sum of...
Q1. Consider a truss shown in Fig.1. Joint A sits on a pin support and I...
Q1. Consider a truss shown in Fig.1. Joint A sits on a pin support and I on a roller support. () Determine the forces on members CD, FG and Hl, using two different methods (a) and (b). Identify the forces as Tension or Compression. (ii) Determine the member that carries maximum tension. (a) method of Joints, and (b) method of Sections 200 kN 200 kN 200 kN 200 kN 200 kN 4 m 3 m -5 m Fig.1 Truss
(3pts): The truss is constructed of A36 steel (E -2 a cross-sectional area of 250 mm2. Answer the following s 300 Clbe wna -250 MES, AI 00 G Pa and O, 250 MPa). All truss members have (a) Determi...
(3pts): The truss is constructed of A36 steel (E -2 a cross-sectional area of 250 mm2. Answer the following s 300 Clbe wna -250 MES, AI 00 G Pa and O, 250 MPa). All truss members have (a) Determine the normal stress and strain in member CD. (b) The support at joint D uses a pin placed in double shear. The pin diameter is 20 mm Determine the average shear stress acting in the pin. 50 kN 50 kN 25...
Figure 1 shows a parallel chord truss of span 4 m and depth 3 m. Take E =200 kN/mm2. The solution follow the member lab...
Figure 1 shows a parallel chord truss of span 4 m and depth 3 m. Take E =200 kN/mm2. The solution follow the member labelling (1)- (17) as shown in the Figure) (7) tension members all have a cross-sectional area of 2000 mm2 and compression members have an area of 2500 mm2. Find the vertical deflection and horizontal deflection of the joint A. (In your (8) (14) (10) (12) (11) A (5) (4) (3) 4 PANELS @ 4 m =...
QUESTION 2 For the below loaded truss, P1-20 kN, P2 30 kN, P3-40 kN. 3 m...
QUESTION 2 For the below loaded truss, P1-20 kN, P2 30 kN, P3-40 kN. 3 m B 12 m--2 m--2 m--2 m--2 m-1-2 m- P Choose the best answer for the force in member KC in kN if the vertical reaction Gy 33.33 kN. State d the member is in tension (T) or compression (C) 12.67 (C) a.67 (C) 6.6 (D 12.67 ( For the below loaded truss, P1-20 kN, P2 30 KN, P3-40 kN. H 3 m D F...
SAN4701 JAN/FEB 2015 QUESTION 1 The truss shown in Figure 1 is hinged at C, B and D It is acted upon at node A by a ver...
SAN4701 JAN/FEB 2015 QUESTION 1 The truss shown in Figure 1 is hinged at C, B and D It is acted upon at node A by a vertically downward force of 3 kN and a honzontal force of 5 kN as shown in Figure 1 Use the method of strffness matrix and analyse for the following (a) Displacement at node A (16) (b) Reaction at the supports (c) Member forces (15) EA 300 x 103 kN and is constant for...
2. (30 pts.) 5 m 6 panels at 3 m = 18 m Consider the given truss above and assuming loads acts on the bridge deck along the bottom cord write equations with respect to x and a) Draw the influence lin...
2. (30 pts.) 5 m 6 panels at 3 m = 18 m Consider the given truss above and assuming loads acts on the bridge deck along the bottom cord write equations with respect to x and a) Draw the influence line for the force in member CI and IJ by writing necessary equations. (20 pts.) the maximum tension force in member J considering the following uniform dead load wDL-2 kN/m uniform live load wLL-8 kN/m and concentrated live load...
2. (30 pts.) 5 m B C D 6panels at 31n = 18 m Consider the given truss above and assuming loads acts on the bridge deck along the bottom cord write equations with respect to x and a) Draw the influ...
2. (30 pts.) 5 m B C D 6panels at 31n = 18 m Consider the given truss above and assuming loads acts on the bridge deck along the bottom cord write equations with respect to x and a) Draw the influence line for the force in member Cl and U by writing necessary equations. (20 pts.) b) Determine the maximum tension force in member IU considering the following loading below: (10 pts.) uniform dead load w-2 kN/m uniform live...
structure design
Name 1Pag Question 1 (35 marks) Use the method of virtual work to determine the vertical displacement of joint C of the truss below The cross-sectional area of each member is A 300 mm2 and E- 200 GPa Note 1 GPa -1.0 x 10 kN/m 1 mm2-10 x 10-*m2 3 kN 2 m 2 m 1.5 m EA Set out wour computations as follows (a) Find the reactions at hinge support E and at roller support A b)...
The following truss is subjected to vertical loads of 20 KN at
joints E and D. In addition to the loads, support A settles by 5 mm
and member AB and BC are subjected to a temperature drop of 50°C.
Given Young’s modulus, E = 200 GPa, cross sectional area for each
member, A = 500 mm2 and coefficient of thermal expansion
of, α = 1.25 x 10-5/°C.
Find the internal forces in each member using force
method.
20 KN...
1. Consider following truss 24 kN 4.5 m 3.2 m 6 m 6 m Replace pins at A and B with forces and redraw the truss. Pin at joint B is replaced with Fax and FBY. Pin at joint A can be replaced with a singe force along the line of action of member AC. Why do we know direction of force exerted by pin at A onto the member AC a. b. Calculate extemal forces by setting sum of...
Q1. Consider a truss shown in Fig.1. Joint A sits on a pin support and I on a roller support. () Determine the forces on members CD, FG and Hl, using two different methods (a) and (b). Identify the forces as Tension or Compression. (ii) Determine the member that carries maximum tension. (a) method of Joints, and (b) method of Sections 200 kN 200 kN 200 kN 200 kN 200 kN 4 m 3 m -5 m Fig.1 Truss
(3pts): The truss is constructed of A36 steel (E -2 a cross-sectional area of 250 mm2. Answer the following s 300 Clbe wna -250 MES, AI 00 G Pa and O, 250 MPa). All truss members have (a) Determine the normal stress and strain in member CD. (b) The support at joint D uses a pin placed in double shear. The pin diameter is 20 mm Determine the average shear stress acting in the pin. 50 kN 50 kN 25...
Figure 1 shows a parallel chord truss of span 4 m and depth 3 m. Take E =200 kN/mm2. The solution follow the member labelling (1)- (17) as shown in the Figure) (7) tension members all have a cross-sectional area of 2000 mm2 and compression members have an area of 2500 mm2. Find the vertical deflection and horizontal deflection of the joint A. (In your (8) (14) (10) (12) (11) A (5) (4) (3) 4 PANELS @ 4 m =...
QUESTION 2 For the below loaded truss, P1-20 kN, P2 30 kN, P3-40 kN. 3 m B 12 m--2 m--2 m--2 m--2 m-1-2 m- P Choose the best answer for the force in member KC in kN if the vertical reaction Gy 33.33 kN. State d the member is in tension (T) or compression (C) 12.67 (C) a.67 (C) 6.6 (D 12.67 ( For the below loaded truss, P1-20 kN, P2 30 KN, P3-40 kN. H 3 m D F...
SAN4701 JAN/FEB 2015 QUESTION 1 The truss shown in Figure 1 is hinged at C, B and D It is acted upon at node A by a vertically downward force of 3 kN and a honzontal force of 5 kN as shown in Figure 1 Use the method of strffness matrix and analyse for the following (a) Displacement at node A (16) (b) Reaction at the supports (c) Member forces (15) EA 300 x 103 kN and is constant for...
2. (30 pts.) 5 m 6 panels at 3 m = 18 m Consider the given truss above and assuming loads acts on the bridge deck along the bottom cord write equations with respect to x and a) Draw the influence line for the force in member CI and IJ by writing necessary equations. (20 pts.) the maximum tension force in member J considering the following uniform dead load wDL-2 kN/m uniform live load wLL-8 kN/m and concentrated live load...
2. (30 pts.) 5 m B C D 6panels at 31n = 18 m Consider the given truss above and assuming loads acts on the bridge deck along the bottom cord write equations with respect to x and a) Draw the influence line for the force in member Cl and U by writing necessary equations. (20 pts.) b) Determine the maximum tension force in member IU considering the following loading below: (10 pts.) uniform dead load w-2 kN/m uniform live...
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