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Problem 2) System of Statically INDETERMINATE Axially Loaded Members (32 points) A load of 20kN is applied to the r...
Problem 3 Statically Indeterminate Axially Loaded Members (25pts) The assembly shown consists of rigid bar ABC,...
Problem 3 Statically Indeterminate Axially Loaded Members (25pts) The assembly shown consists of rigid bar ABC, two fiber-reinforced plastic (FRP) rods (1) and (3), and FRP post (2). The modulus of elasticity for the FRP is E = 18 GPa. Determine the vertical deflection of joint D relative to its initial position after the 30 kN load is applied. 2.4 m 1.8 m Rigid bar | B |(2) (3) || 3.0 m 3.6 m A = 500 mm? Az= 500...
Problem 4 Statically Indeterminate Axially Loaded Members (25pts) A tie rod (1) and a pipe strut...
Problem 4 Statically Indeterminate Axially Loaded Members (25pts) A tie rod (1) and a pipe strut (2) are used to support a 50 kN load, as shown. The cross-sectional areas are A1 = 650 mm2 for tie rod (1) and A2 = 925 mm2 for pipe strut (2). Both members are made of structural steel that has an elastic modulus E 200 GPa. (a) Determine the normal stresses in tie rod (1) and pipe strut (2)·(b) Determine the elongation or...
PROBLEMS The pin-connected structure is loaded as wn in Figure 5. Bar CD is rigid, and...
PROBLEMS The pin-connected structure is loaded as wn in Figure 5. Bar CD is rigid, and is horizontal before load P is applied. Bar A is made of alumimm 0:- 75 GPa, cross-sectional area-1000 mm2 Bar Bis made of structural steel (E-200 GPa, cross sectional area- 500 20m P150N (a) (15 points) Draw the free body diagram for bar CD, and write down (but do not solve) the equations of static equilibrium for the stracture. (b) (5 points) Is it...
A rigid triangular frame is pinned at Cand held by two identical bars at points A...
A rigid triangular frame is pinned at Cand held by two identical bars at points A and (x connections) Each bar has length 2 = 1 m Young's modulus E= 100 Pa and cross section area. 5 mm. A moment M=1000 N·m is applied at point (1) Is this an indeterminate problem? Why? (10 points) (2) Find the stresses in two bars. (30 points) РОС // D. M
To solve for forces in statically indeterminate bars with axial loads.
To solve for forces in statically indeterminate bars with axial loads.When the number of reaction forces is greater than the number of equilibrium equations, the system is statically indeterminate. Solving for the reactions requires some additional equations. These additional equations come from considering compatibility relationships (i.e.) continuity of displacements and relationships between displacements and loads).For an axially loaded member, the compatibility relationship for the deflections can be written by setting the total relative axial displacement between the ends of the...
Learning Goal: To solve for forces in statically indeterminate bars with axial loads. Consider a new...
Learning Goal: To solve for forces in statically indeterminate bars with axial loads. Consider a new structure, where the thickness of the bar is reduced to 32.5 mm from C to B (it is still square) (Figure 2) and <= 3.75 m. If the applied load is F - 370 kN , then what is the reaction at ? Let a positive reaction act to the right. The total length is still 6 m Express your answer with appropriate units...
Problem 1) A load, P, is supported by a structure consisting of rigid bar BDF and...
Problem 1) A load, P, is supported by a structure consisting of rigid bar BDF and three identical rods (cross-sectional area, A length, L; and elastic modulus, E), as shown. Load P is offset from the left bar by distance, c. Bars 1 and 2 are separated by distance, a; bars 2 and 3 are separated by distance, b. Symbolically (using the necessary variables) derive the three equations necessary to solve for the forces (Fi, F2, and F3) in the...
Learning Goal: To solve for forces in statically indeterminate bars with axial loads. Part A-Force with...
Learning Goal: To solve for forces in statically indeterminate bars with axial loads. Part A-Force with a known deflection When the number of reaction forces is greater than the number of equilibrium equations, the system is statically indeterminate. Solving for the reactions requires some additional equations. These additional equations come from considering compatibility relationships (i.e., continuity of displacements and relationships between displacements and loads). The square bar shown (Figure 1) is 72.5 mm thick and 3.6 m long and is...
Problem 3i (15+5 = 20 Points) 3a. The member D-C is rigid (it does not bend)...
Problem 3i (15+5 = 20 Points) 3a. The member D-C is rigid (it does not bend) and it is horizontal before the load of 10 kips is applied Member A is made of aluminum with a x-sectional area of 2.25 in', and E 10,600 ksi. Member B is made of steel with a x-sectional area of 1.75 in?, and E-28,000 ksi. Find: (i) The normal stresses in the bars A and B (ii) The vertical deflection of point ID Hint:...
Problem 3 Statically Indeterminate Axially Loaded Members (25pts) The assembly shown consists of rigid bar ABC, two fiber-reinforced plastic (FRP) rods (1) and (3), and FRP post (2). The modulus of elasticity for the FRP is E = 18 GPa. Determine the vertical deflection of joint D relative to its initial position after the 30 kN load is applied. 2.4 m 1.8 m Rigid bar | B |(2) (3) || 3.0 m 3.6 m A = 500 mm? Az= 500...
Problem 4 Statically Indeterminate Axially Loaded Members (25pts) A tie rod (1) and a pipe strut (2) are used to support a 50 kN load, as shown. The cross-sectional areas are A1 = 650 mm2 for tie rod (1) and A2 = 925 mm2 for pipe strut (2). Both members are made of structural steel that has an elastic modulus E 200 GPa. (a) Determine the normal stresses in tie rod (1) and pipe strut (2)·(b) Determine the elongation or...
PROBLEMS The pin-connected structure is loaded as wn in Figure 5. Bar CD is rigid, and is horizontal before load P is applied. Bar A is made of alumimm 0:- 75 GPa, cross-sectional area-1000 mm2 Bar Bis made of structural steel (E-200 GPa, cross sectional area- 500 20m P150N (a) (15 points) Draw the free body diagram for bar CD, and write down (but do not solve) the equations of static equilibrium for the stracture. (b) (5 points) Is it...
A rigid triangular frame is pinned at Cand held by two identical bars at points A and (x connections) Each bar has length 2 = 1 m Young's modulus E= 100 Pa and cross section area. 5 mm. A moment M=1000 N·m is applied at point (1) Is this an indeterminate problem? Why? (10 points) (2) Find the stresses in two bars. (30 points) РОС // D. M
Learning Goal: To solve for forces in statically indeterminate bars with axial loads. Consider a new structure, where the thickness of the bar is reduced to 32.5 mm from C to B (it is still square) (Figure 2) and <= 3.75 m. If the applied load is F - 370 kN , then what is the reaction at ? Let a positive reaction act to the right. The total length is still 6 m Express your answer with appropriate units...
Problem 1) A load, P, is supported by a structure consisting of rigid bar BDF and three identical rods (cross-sectional area, A length, L; and elastic modulus, E), as shown. Load P is offset from the left bar by distance, c. Bars 1 and 2 are separated by distance, a; bars 2 and 3 are separated by distance, b. Symbolically (using the necessary variables) derive the three equations necessary to solve for the forces (Fi, F2, and F3) in the...
Learning Goal: To solve for forces in statically indeterminate bars with axial loads. Part A-Force with a known deflection When the number of reaction forces is greater than the number of equilibrium equations, the system is statically indeterminate. Solving for the reactions requires some additional equations. These additional equations come from considering compatibility relationships (i.e., continuity of displacements and relationships between displacements and loads). The square bar shown (Figure 1) is 72.5 mm thick and 3.6 m long and is...
Problem 3i (15+5 = 20 Points) 3a. The member D-C is rigid (it does not bend) and it is horizontal before the load of 10 kips is applied Member A is made of aluminum with a x-sectional area of 2.25 in', and E 10,600 ksi. Member B is made of steel with a x-sectional area of 1.75 in?, and E-28,000 ksi. Find: (i) The normal stresses in the bars A and B (ii) The vertical deflection of point ID Hint:...
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