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A fixed-end beam of length L is loaded by triangularly distributed load of maximum intensity qo...
QUESTION 4 (25 marks) A simply supported beam is loaded by an uniform distributed load, wkN/m, over the span of the beam, L, as shown in Figure Q4. (a) Determine the end reactions at point A and...
QUESTION 4 (25 marks) A simply supported beam is loaded by an uniform distributed load, wkN/m, over the span of the beam, L, as shown in Figure Q4. (a) Determine the end reactions at point A and B in terms of w and L. (4 marks) (b) At an arbitrary point, x, express the internal mom (c) Show that the deflection curve of the beam under the loading situation is ent, M(x), in x, w, and L. (5 marks) 24EI...
Strength of Materials IV 9.2-5 The defiuction curve for a cantilever beam AB (see fgure) is given b 120LEI Describe the load acting on the beam. 2 .3-6 Calculate the maximum deflectio...
Strength of Materials IV
9.2-5 The defiuction curve for a cantilever beam AB (see fgure) is given b 120LEI Describe the load acting on the beam. 2 .3-6 Calculate the maximum deflection dma of a uniformly loaded simple beam if the span length L 5 2.0 m, the intensity of the uniform load g 5 2.0 kN/m, and the maximum bending stress s 5 60 MPa. rn X The cross section of the beam is square, and the material is...
Problem 1 A cantilever beam of length L is clamped at its left end (x = 0) and is free at its rig...
Problem 1 A cantilever beam of length L is clamped at its left end (x = 0) and is free at its right end (x = L). Along with the fourth-order differential equation EIy(4) = w(x), it satisfies the given boundary conditions y(0) = y′(0) = 0,y′′(L) = y′′′(L) = 0. a) If the load w(x) = w0 a constant, is distributed uniformly, determine the deflection y(x). b) Graph the deflection curve when w0 = 24EI and L = 1....
Problem 5: A cantilever beam AB of length L supports a uniform load of intensity q...
Problem 5: A cantilever beam AB of length L supports a uniform load of intensity q (see figure) has a fixed support at A and spring support at B with rotational stiffness kR. Rotation at B, OB results in a reaction moment MB*Rx θ8. Beginning with the second-order differential equation of the deflection curve (the bending-moment equation), find rotation GB and di the end B. (Hint- You will need third boundary condition so read the problem statement carefully) (20 points)...
The intensity of the distributed load on the simply supported beam varies linearly from zero to...
The intensity of the distributed load on the simply supported
beam varies linearly from zero to w0. (a) Derive the equation of
the elastic curve. (b) Find the location of the maximum deflection.
Use any method.
Wo| B AL 1
Beam with bending load The beam AD below is made of steel A-36 and has a cross section as indicated. This beam is loaded between A and B with a distributed load with intensity w and at D with a vertical force P downwards. At A the beam is supported with a
Beam with bending loadThe beam AD below is made of steel A-36 and has a cross section as indicated. This beam is loaded between A and B with a distributed load with intensity w and at D with a vertical force P downwards. At A the beam is supported with a fixed clamping and at C with a roller bearing. The own weight of the beam may be neglected. Handle the orientation of the given x-y axis system. L=185Determine all support...
Problem 2 A beam is clamped at left end. A linearly varying distributed load is applied...
Problem 2 A beam is clamped at left end. A linearly varying distributed load is applied in the downward direction on the beam. The maximum magnitude of distributed load at left end is po per unit length. A couple C is applied at the tip. The flexural rigidity of the beam is El (1) Use beam differential equation to calculate deflection and rotation at the tip. (2) Use Castigliano's theorem to calculate deflection and rotation at the tip. Po
A beam that has fixed-rolled end conditioned is loaded by a uniform distributed load and a...
A beam that has fixed-rolled end conditioned is loaded by a
uniform distributed
load and a point force as shown in the figure. Calculate the
support reactions of the beam. E
= 200 GPa and I = 84.9(10-6) m4.
2 KN 3 kN/m А 3 m 3 m
der 5. (15 pts) Consider a homogeneous horizontal beam of length L. Recall that the deflection...
der 5. (15 pts) Consider a homogeneous horizontal beam of length L. Recall that the deflection y (x)of such a beam satisfies the fourth order differential equation ELY wo where Wo is a constant load uniformly distributed along the length of the beam. The general solution of this equation is y () = C1 +223 + c3x2 + 423 + 2457 (a) Determine the appropriate boundary conditions if the beam is free on the left and embedded on the right...
dat 5. (15 pts) Consider a homogeneous horizontal beam of length L. Recall that the deflection...
dat 5. (15 pts) Consider a homogeneous horizontal beam of length L. Recall that the deflection y(x)of such a beam satisfies the fourth order differential equation Erd'y w where wois a constant load uniformly distributed along the length of the beam. The general solution of this equation is y(x) = c + C2# + 03 72 +423 + (a) Determine the appropriate boundary conditions if the beam is free on the left and embedded on the right (b) Solve the...
QUESTION 4 (25 marks) A simply supported beam is loaded by an uniform distributed load, wkN/m, over the span of the beam, L, as shown in Figure Q4. (a) Determine the end reactions at point A and B in terms of w and L. (4 marks) (b) At an arbitrary point, x, express the internal mom (c) Show that the deflection curve of the beam under the loading situation is ent, M(x), in x, w, and L. (5 marks) 24EI...
Strength of Materials IV
9.2-5 The defiuction curve for a cantilever beam AB (see fgure) is given b 120LEI Describe the load acting on the beam. 2 .3-6 Calculate the maximum deflection dma of a uniformly loaded simple beam if the span length L 5 2.0 m, the intensity of the uniform load g 5 2.0 kN/m, and the maximum bending stress s 5 60 MPa. rn X The cross section of the beam is square, and the material is...
Problem 5: A cantilever beam AB of length L supports a uniform load of intensity q (see figure) has a fixed support at A and spring support at B with rotational stiffness kR. Rotation at B, OB results in a reaction moment MB*Rx θ8. Beginning with the second-order differential equation of the deflection curve (the bending-moment equation), find rotation GB and di the end B. (Hint- You will need third boundary condition so read the problem statement carefully) (20 points)...
The intensity of the distributed load on the simply supported
beam varies linearly from zero to w0. (a) Derive the equation of
the elastic curve. (b) Find the location of the maximum deflection.
Use any method.
Wo| B AL 1
Problem 2 A beam is clamped at left end. A linearly varying distributed load is applied in the downward direction on the beam. The maximum magnitude of distributed load at left end is po per unit length. A couple C is applied at the tip. The flexural rigidity of the beam is El (1) Use beam differential equation to calculate deflection and rotation at the tip. (2) Use Castigliano's theorem to calculate deflection and rotation at the tip. Po
A beam that has fixed-rolled end conditioned is loaded by a
uniform distributed
load and a point force as shown in the figure. Calculate the
support reactions of the beam. E
= 200 GPa and I = 84.9(10-6) m4.
2 KN 3 kN/m А 3 m 3 m
der 5. (15 pts) Consider a homogeneous horizontal beam of length L. Recall that the deflection y (x)of such a beam satisfies the fourth order differential equation ELY wo where Wo is a constant load uniformly distributed along the length of the beam. The general solution of this equation is y () = C1 +223 + c3x2 + 423 + 2457 (a) Determine the appropriate boundary conditions if the beam is free on the left and embedded on the right...
dat 5. (15 pts) Consider a homogeneous horizontal beam of length L. Recall that the deflection y(x)of such a beam satisfies the fourth order differential equation Erd'y w where wois a constant load uniformly distributed along the length of the beam. The general solution of this equation is y(x) = c + C2# + 03 72 +423 + (a) Determine the appropriate boundary conditions if the beam is free on the left and embedded on the right (b) Solve the...
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