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2.3-5 A vertical bar is loaded with axial loads at points B, C, and D, as...
Problem 2: A horizontal bar is loaded with axial loads at points B, C, and D,...
Problem 2: A horizontal bar is loaded with axial loads at points B, C, and D, as shown in the figure. The bar is made of steel with a modulus of elasticity E = 29 x 106 psi. The bar has a cross-sectional area of 10 in?. Calculate the total change in length of the bar and state if the bar will elongate or shorten. Ignore the weight of the bar (not shown). A B с D 30 in 30...
A bar ABCD with varying cross section and subjected to axial loads is shown schematically in...
A bar ABCD with varying cross section and subjected to axial loads is shown schematically in Figure Q3. Take modulus of elasticity of bar as 202 GPa. The length of each section L1 = 111 mm; L2 = 205 mm; and L3 = 451 mm. The cross sectional dimensions are as follows: Section 1 is square with side 49 mm, Section 2 is circular with diameter 79 mm and Section 3 is circular with diameter 32 mm. The forces are...
3. A steel bar having a diameter of 1 inch is being loaded as shown below....
3. A steel bar having a diameter of 1 inch is being loaded as shown below. Assume the width and diameters of the collars are negligible. The steel's elastic modulus E = 29,000 ksi. 3000 lb 9000 lb --8000 lb - 4000 lb - 36 in. — 36 in 36 in. (a) (4 points) the maximum axial stress within the bar (also indicate it is within which section and if it's tension or compression) (6) (3 points) determine the total...
= 2.4-8 The fixed-end bar ABCD consists of three prismatic segments, as shown in the figure....
= 2.4-8 The fixed-end bar ABCD consists of three prismatic segments, as shown in the figure. The end segments have cross-sectional area A = 840 mm? and length L = 200 mm. The middle segment has cross-sectional area A2 = 1260 mm- and length L2 = 250 mm. Loads Pp and Pc are equal to 25.5 kN and 17.0 kN, respectively. (a) Determine the reactions R, and R, at the fixed supports (b) Determine the compressive axial force Fbc in...
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...
ANSWER THE FOLLOWING QUESTION AND DRAW THE FIGURE WHERE REQUIRED. PROVIDE EACH & EVERY STEP The...
ANSWER THE FOLLOWING QUESTION AND DRAW THE FIGURE WHERE
REQUIRED. PROVIDE EACH & EVERY STEP
The stepped rod shown below is made of three uniform elements. The rod was intended to be welded to, and exactly fit between, the rigid walls at A and D. However, member 2 was manufactured an amount d too short. First the entire rod is stretched so that its ends can be welded to the rigid walls. Then, an axial load Pa is applied to...
C p B I. (2000) A prismatic bar AB, with axial rigidity EA, is loaded by...
C p B I. (2000) A prismatic bar AB, with axial rigidity EA, is loaded by a uniformly distributed axial load p. Determine the displacements of points B and C for the following cases: (a) p is from the mid-span at C to end B (see Fig. 1). (b) p is I2 from end A to the mid-span at C, (c) p is from end A to end B. Fig. 1
2) (30 points) The 2-segment bar shown below is loaded by an axial force f(x) and...
2) (30 points) The 2-segment bar shown below is loaded by an axial force f(x) and is fixed at both ends. Develop the finite element model of the bar using two linear elements. Note that the 3 nodes are shown and labeled. Use the following data: Ej = E2 = 200 GPa Aj = 0.01 m² A2 = 0.005 m² Li = L2 = 1 m f(x) = 3e7.x N/m HX f(x) - - 1 E1, A1,47 - - 2...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the ver...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
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...
Problem 2: A horizontal bar is loaded with axial loads at points B, C, and D, as shown in the figure. The bar is made of steel with a modulus of elasticity E = 29 x 106 psi. The bar has a cross-sectional area of 10 in?. Calculate the total change in length of the bar and state if the bar will elongate or shorten. Ignore the weight of the bar (not shown). A B с D 30 in 30...
A bar ABCD with varying cross section and subjected to axial loads is shown schematically in Figure Q3. Take modulus of elasticity of bar as 202 GPa. The length of each section L1 = 111 mm; L2 = 205 mm; and L3 = 451 mm. The cross sectional dimensions are as follows: Section 1 is square with side 49 mm, Section 2 is circular with diameter 79 mm and Section 3 is circular with diameter 32 mm. The forces are...
3. A steel bar having a diameter of 1 inch is being loaded as shown below. Assume the width and diameters of the collars are negligible. The steel's elastic modulus E = 29,000 ksi. 3000 lb 9000 lb --8000 lb - 4000 lb - 36 in. — 36 in 36 in. (a) (4 points) the maximum axial stress within the bar (also indicate it is within which section and if it's tension or compression) (6) (3 points) determine the total...
= 2.4-8 The fixed-end bar ABCD consists of three prismatic segments, as shown in the figure. The end segments have cross-sectional area A = 840 mm? and length L = 200 mm. The middle segment has cross-sectional area A2 = 1260 mm- and length L2 = 250 mm. Loads Pp and Pc are equal to 25.5 kN and 17.0 kN, respectively. (a) Determine the reactions R, and R, at the fixed supports (b) Determine the compressive axial force Fbc in...
ANSWER THE FOLLOWING QUESTION AND DRAW THE FIGURE WHERE
REQUIRED. PROVIDE EACH & EVERY STEP
The stepped rod shown below is made of three uniform elements. The rod was intended to be welded to, and exactly fit between, the rigid walls at A and D. However, member 2 was manufactured an amount d too short. First the entire rod is stretched so that its ends can be welded to the rigid walls. Then, an axial load Pa is applied to...
C p B I. (2000) A prismatic bar AB, with axial rigidity EA, is loaded by a uniformly distributed axial load p. Determine the displacements of points B and C for the following cases: (a) p is from the mid-span at C to end B (see Fig. 1). (b) p is I2 from end A to the mid-span at C, (c) p is from end A to end B. Fig. 1
2) (30 points) The 2-segment bar shown below is loaded by an axial force f(x) and is fixed at both ends. Develop the finite element model of the bar using two linear elements. Note that the 3 nodes are shown and labeled. Use the following data: Ej = E2 = 200 GPa Aj = 0.01 m² A2 = 0.005 m² Li = L2 = 1 m f(x) = 3e7.x N/m HX f(x) - - 1 E1, A1,47 - - 2...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
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...
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