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Problem 5 (10 points) Assuming the beam to be massless, the system shown below has a...
QUESTION 1:(15 points) Determine the natural frequency of the system corsisting of a cantilever beam and...
QUESTION 1:(15 points) Determine the natural frequency of the system corsisting of a cantilever beam and a spring in Fig.1. Assuming the beam and the spring to be massless, the system has the single DOF defined as the vertical deflection under a weight W 1.2kN .The beam has a length L=4m and the flexural rigidity EI = 2400 kM㎡. The spring has the stiffness 60 kN/m . EI t L Fig.1
1.A cantilever AD is subjected to a pure moment wa at B and uniformly distributed load of intensity w along AB and BC and as shown in Figure 1. The beam has constant EI. Ignore the weight of the bean...
1.A cantilever AD is subjected to a pure moment wa at B and uniformly distributed load of intensity w along AB and BC and as shown in Figure 1. The beam has constant EI. Ignore the weight of the beanm (a)Determine the reaction forces at the fixed end D. (6 marks) (b) Express the elastic curve of the beam in terms of EI, w, a and x. (14 marks) (c)Determine the allowable intensity w if the deflection at A is...
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 symmetrical I-section and consists of three equal rectangular members of 100 mm x 10 mm (see Figure Q2 (b)). Self- weight of the beam is neglected. 100 mm w = 10 kN/m A- - A 100 mm 77777 L/3 L/3 L/3 — Figure Q2 (a) Figure Q2 (b)...
Problem 2 (50 points): Assuming the beam is made of steel and has a W 6x25...
Problem 2 (50 points): Assuming the beam is made of steel and has a W 6x25 cross section, using method of integration: 1) What is the maximum deflection in the beam? 2) Where is the location of the maximum deflection? 3) What is the reaction force at supports A and B? 10 kN/m 10 kN 20 cm 1 m
The two-span continuos beam (ABC) shown in the sketch below carries a uniformly distributed load, w,...
The two-span continuos beam (ABC) shown in the sketch
below carries a uniformly distributed load, w, in the left side
span AB. Assume that EI is constant. Use the method of virtual
work, together with the principle of relative displacements, to
determine the following quantities in terms of E,I,L and
w:
The two-span continuous beam (ABC) shown in the sketch below carries a uniformly distributed load, w, in the left side span AB. Assume that El of the beam is...
QI A simply supported beam of length L = 10 m carries a uniformly distributed load...
QI A simply supported beam of length L = 10 m carries a uniformly distributed load w of 10 kN/m, as shown in Figure QI (a). The beam is made from a symmetrical I-section and consists of three equal rectangular members of 100 mm x 10 mm (see Figure QI (b)). Self- weight of the beam is neglected. 100 mm w = 10 kN/m A-1 A 100 mm 1/3 L/3 L/3 m [5] Figure Q1 (a) Figure Q1 (b) (a)...
Problem 9.3.17 The beam shown in the figure has a guided support at A and a...
Problem 9.3.17 The beam shown in the figure has a guided support at A and a roller support at B. The guided support permits vertical movement but no rotation. Derive the equation of the deflection curve and determine the deflection d, at end A and also d, at point C due to the uniform load of intensity q=P/L applied over segment CB and load P at x=L/3. (Note: Use the second-order differential equation of the deflection curve.) q=ī MITB X
ans all parts please 15) (10 Points) Consider a horizontal beam of length L. with uniform...
ans all parts please
15) (10 Points) Consider a horizontal beam of length L. with uniform cross-section and made out of uniform material. It is resting on the x-axis, with one end at the origin. It is acted upon by a vertical force it's own weight in this simple version). The deflection of the beam at any point x,for 0 <=<L.is given by Ely) = w, where E, I, ware constants. E is the Young's modulus of elasticity of the...
Matlab problem! Description The deflection of a cantilevered beam with a point load is Wx2 :),...
Matlab problem!
Description The deflection of a cantilevered beam with a point load is Wx2 :), 0<xsa Wa? ATT (3x-a), a SXSL where E= Young's Modulus (psi) I=moment of inertia (in^4) L = Length (in) a=location of point load (in) W = load (lbf)- Objectives We wish to study the deflection as function of x for a given set of system parameters.--To- accomplish this task, we will create two separate M-files. M-file-1 This function-M-file should generate a plot of y...
2 A simply supported beam of length L = 10 m carries both a uniformly distributed...
2 A simply supported beam of length L = 10 m carries both a uniformly distributed load w, of 10 kN/m and a non-uniformly distributed load with a maximum value of w2 =10 kN/m at its roller support, 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 02 (b). Self-weight of the beam is neglected. 300...
QUESTION 1:(15 points) Determine the natural frequency of the system corsisting of a cantilever beam and a spring in Fig.1. Assuming the beam and the spring to be massless, the system has the single DOF defined as the vertical deflection under a weight W 1.2kN .The beam has a length L=4m and the flexural rigidity EI = 2400 kM㎡. The spring has the stiffness 60 kN/m . EI t L Fig.1
1.A cantilever AD is subjected to a pure moment wa at B and uniformly distributed load of intensity w along AB and BC and as shown in Figure 1. The beam has constant EI. Ignore the weight of the beanm (a)Determine the reaction forces at the fixed end D. (6 marks) (b) Express the elastic curve of the beam in terms of EI, w, a and x. (14 marks) (c)Determine the allowable intensity w if the deflection at A is...
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 symmetrical I-section and consists of three equal rectangular members of 100 mm x 10 mm (see Figure Q2 (b)). Self- weight of the beam is neglected. 100 mm w = 10 kN/m A- - A 100 mm 77777 L/3 L/3 L/3 — Figure Q2 (a) Figure Q2 (b)...
Problem 2 (50 points): Assuming the beam is made of steel and has a W 6x25 cross section, using method of integration: 1) What is the maximum deflection in the beam? 2) Where is the location of the maximum deflection? 3) What is the reaction force at supports A and B? 10 kN/m 10 kN 20 cm 1 m
The two-span continuos beam (ABC) shown in the sketch
below carries a uniformly distributed load, w, in the left side
span AB. Assume that EI is constant. Use the method of virtual
work, together with the principle of relative displacements, to
determine the following quantities in terms of E,I,L and
w:
The two-span continuous beam (ABC) shown in the sketch below carries a uniformly distributed load, w, in the left side span AB. Assume that El of the beam is...
QI A simply supported beam of length L = 10 m carries a uniformly distributed load w of 10 kN/m, as shown in Figure QI (a). The beam is made from a symmetrical I-section and consists of three equal rectangular members of 100 mm x 10 mm (see Figure QI (b)). Self- weight of the beam is neglected. 100 mm w = 10 kN/m A-1 A 100 mm 1/3 L/3 L/3 m [5] Figure Q1 (a) Figure Q1 (b) (a)...
Problem 9.3.17 The beam shown in the figure has a guided support at A and a roller support at B. The guided support permits vertical movement but no rotation. Derive the equation of the deflection curve and determine the deflection d, at end A and also d, at point C due to the uniform load of intensity q=P/L applied over segment CB and load P at x=L/3. (Note: Use the second-order differential equation of the deflection curve.) q=ī MITB X
ans all parts please
15) (10 Points) Consider a horizontal beam of length L. with uniform cross-section and made out of uniform material. It is resting on the x-axis, with one end at the origin. It is acted upon by a vertical force it's own weight in this simple version). The deflection of the beam at any point x,for 0 <=<L.is given by Ely) = w, where E, I, ware constants. E is the Young's modulus of elasticity of the...
Matlab problem!
Description The deflection of a cantilevered beam with a point load is Wx2 :), 0<xsa Wa? ATT (3x-a), a SXSL where E= Young's Modulus (psi) I=moment of inertia (in^4) L = Length (in) a=location of point load (in) W = load (lbf)- Objectives We wish to study the deflection as function of x for a given set of system parameters.--To- accomplish this task, we will create two separate M-files. M-file-1 This function-M-file should generate a plot of y...
2 A simply supported beam of length L = 10 m carries both a uniformly distributed load w, of 10 kN/m and a non-uniformly distributed load with a maximum value of w2 =10 kN/m at its roller support, 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 02 (b). Self-weight of the beam is neglected. 300...
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