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Problem 3 (19 points): A simply supported beam ABCD carries a uniformly distributed load, w, and...
P=10 kN A cantilever beam is subiected to a concentrated force P, a uniformly distributed load...
P=10 kN A cantilever beam is subiected to a concentrated force P, a uniformly distributed load w and a moment MI shown in the figure. Neglect the weight of the beam. (a) Draw the free body diagram for the beam showing all the 2 m reactions, replacing the support M.-2 kNm by the reaction forces/moments. (b) Use the equations of equilibrium to find the reaction forces/moments at R (c) Give the expression for the shear force, V- V(x), and the...
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated...
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated load F as shown in Figure 2. Young's modulus of the beam is 200 GPa F- 8 kNN 8cm 3cm 3cm w- 6 kN/m 6cm 2cm Figure 2 1) Replace the support C with the reaction force Rc, and using static equilibrium find the reactions at point A and B in terms of Ro 2) Using the boundary conditions, calculate the...
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated...
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated load F as shown in Figure 2. Young's modulus of the beam is 200 GPa. F 8 kN 8cm 3cm 3cm 7 m 5 m 3 m 2cm W= 6 kN/m 6cm A D B 2cm 7TITT TITIT Figure 2 1) Replace the support C with the reaction force Rc, and using static equilibrium find the reactions at point A and...
A simply supported beam ABCD is subjected to a force P and a moment Mo as...
A simply supported beam ABCD is subjected to a force P and a moment Mo as shown in the figure. All the dimensions are given in the figure, and the weight of the beam is neglected. (a) Draw the free body diagram for the beam, showing all the applied forces, moments and reaction forces. (b) Use the equations of equilibrium to find the reaction forces at A and C P-15 kN Mp- 10 kNm 4.5 m 3m
A simply supported beam as shown in the figure. The beam section is W18x211. The beam...
A simply supported beam as shown in the figure. The beam section is W18x211. The beam must support its own weight and must carry the following loading: Super-imposed distributed dead load = 0.25 kip/ft Distributed live load = 1 kip/ft Concentrated dead load = 12 kip The beam span L = 26 ft and the distance of the concentrated load from the right support a=6 ft. Consider analy- sis of beam subjected to load combination 1.2 dead + 1.6 live....
The simply supported beam of length L is subjected to uniformly distributed load of w and...
The simply supported beam of length L is subjected to uniformly distributed load of w and a vertical point load P at its middle, as shown in Figure Q3. Both young's modulus and second moment of area of this structure are given as E and I. Please provide your answers in terms of letters w, P,L,1, E. Self-weight of the beam is neglected. P W L/2 L/2 Figure Q3 (a) Determine the reactions, bending moment equation along the beam and...
QUESTION 2 Beam ABCD is 8 m in length and is pin-supported at A and roller-supported...
QUESTION 2 Beam ABCD is 8 m in length and is pin-supported at A and roller-supported at C as shown in Figure Q2. A counter-clockwise concentrated moment acts about the support A. A uniformly-distributed load acts on span BC and a vertical concentrated load acts at the free end D a) Determine the reactions at supports A and C. 4 marks) b) Obtain the shear force and the bending moment functions (in terms of x) for each segment along the...
Q1 A simply supported beam of length L = 10 m carries a uniformly distributed load...
Q1 A simply supported beam of length L = 10 m carries a uniformly distributed load w = of 10 kN/m, as shown in Figure Q1 (a). The beam is made from a I-section and the thickness for all the three rectangular members is of 10 mm. All other dimensions are illustrated in Figure Q1 (b). Self-weight of the beam is neglected. 300 mm w = 10 kN/m 300 mm L/4 L/2 L/4 300 mm Figure Q1 (a) Figure Q1...
Q2 A simply supported beam of length L = 10 m carries a uniformly distributed load...
Q2 A simply supported beam of length L = 10 m carries a uniformly distributed load w = of 10 kN/m, as shown in Figure Q2 (a). The beam is made from a I-section and the thickness for all the three rectangular members is of 10 mm. All other dimensions are illustrated in Figure Q2 (b). Self-weight of the beam is neglected. 300 mm w = 10 kN/m т 300 mm 已 L/44 L/2 L/44 300 mm Figure Q2 (a)...
Q2(c) Figure Q1(c) shows a simply supported beam ABCD loaded as shown. The beam is pin-supported...
Q2(c) Figure Q1(c) shows a simply supported beam ABCD loaded as shown. The beam is pin-supported at D, while point B is roller-supported. Determine the support reactions. b) For span BC (2<x< 4) write down the x-dependent equation for moment. x should be measured from cnd A. Plot the shear force diagram and the bending moment diagram for the beam. Show all important values of the diagrams. d) Plot the deflected shape of the beam. c) 50KN 40kN/m 25kNm 20kN/m...
P=10 kN A cantilever beam is subiected to a concentrated force P, a uniformly distributed load w and a moment MI shown in the figure. Neglect the weight of the beam. (a) Draw the free body diagram for the beam showing all the 2 m reactions, replacing the support M.-2 kNm by the reaction forces/moments. (b) Use the equations of equilibrium to find the reaction forces/moments at R (c) Give the expression for the shear force, V- V(x), and the...
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated load F as shown in Figure 2. Young's modulus of the beam is 200 GPa F- 8 kNN 8cm 3cm 3cm w- 6 kN/m 6cm 2cm Figure 2 1) Replace the support C with the reaction force Rc, and using static equilibrium find the reactions at point A and B in terms of Ro 2) Using the boundary conditions, calculate the...
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated load F as shown in Figure 2. Young's modulus of the beam is 200 GPa. F 8 kN 8cm 3cm 3cm 7 m 5 m 3 m 2cm W= 6 kN/m 6cm A D B 2cm 7TITT TITIT Figure 2 1) Replace the support C with the reaction force Rc, and using static equilibrium find the reactions at point A and...
A simply supported beam ABCD is subjected to a force P and a moment Mo as shown in the figure. All the dimensions are given in the figure, and the weight of the beam is neglected. (a) Draw the free body diagram for the beam, showing all the applied forces, moments and reaction forces. (b) Use the equations of equilibrium to find the reaction forces at A and C P-15 kN Mp- 10 kNm 4.5 m 3m
A simply supported beam as shown in the figure. The beam section is W18x211. The beam must support its own weight and must carry the following loading: Super-imposed distributed dead load = 0.25 kip/ft Distributed live load = 1 kip/ft Concentrated dead load = 12 kip The beam span L = 26 ft and the distance of the concentrated load from the right support a=6 ft. Consider analy- sis of beam subjected to load combination 1.2 dead + 1.6 live....
The simply supported beam of length L is subjected to uniformly distributed load of w and a vertical point load P at its middle, as shown in Figure Q3. Both young's modulus and second moment of area of this structure are given as E and I. Please provide your answers in terms of letters w, P,L,1, E. Self-weight of the beam is neglected. P W L/2 L/2 Figure Q3 (a) Determine the reactions, bending moment equation along the beam and...
QUESTION 2 Beam ABCD is 8 m in length and is pin-supported at A and roller-supported at C as shown in Figure Q2. A counter-clockwise concentrated moment acts about the support A. A uniformly-distributed load acts on span BC and a vertical concentrated load acts at the free end D a) Determine the reactions at supports A and C. 4 marks) b) Obtain the shear force and the bending moment functions (in terms of x) for each segment along the...
Q1 A simply supported beam of length L = 10 m carries a uniformly distributed load w = of 10 kN/m, as shown in Figure Q1 (a). The beam is made from a I-section and the thickness for all the three rectangular members is of 10 mm. All other dimensions are illustrated in Figure Q1 (b). Self-weight of the beam is neglected. 300 mm w = 10 kN/m 300 mm L/4 L/2 L/4 300 mm Figure Q1 (a) Figure Q1...
Q2 A simply supported beam of length L = 10 m carries a uniformly distributed load w = of 10 kN/m, as shown in Figure Q2 (a). The beam is made from a I-section and the thickness for all the three rectangular members is of 10 mm. All other dimensions are illustrated in Figure Q2 (b). Self-weight of the beam is neglected. 300 mm w = 10 kN/m т 300 mm 已 L/44 L/2 L/44 300 mm Figure Q2 (a)...
Q2(c) Figure Q1(c) shows a simply supported beam ABCD loaded as shown. The beam is pin-supported at D, while point B is roller-supported. Determine the support reactions. b) For span BC (2<x< 4) write down the x-dependent equation for moment. x should be measured from cnd A. Plot the shear force diagram and the bending moment diagram for the beam. Show all important values of the diagrams. d) Plot the deflected shape of the beam. c) 50KN 40kN/m 25kNm 20kN/m...
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