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2.- The beam shown in the figure, has a roller support at A, a fixed support at C and an internal hinge at B. The lengths of segments AB and BC are and b respectively. A uniformly distributed load, q...
2.- The beam shown in the figure, has a roller support at A, a fixed support at C and an internal...
2.- The beam shown in the figure, has a roller support at A, a fixed support at C and an internal hinge at B. The lengths of segments AB and BC are α and b respectively. A uniformly distributed load, q, is applied between points B and C, and a concentrated load P acts at a distance 2a/3 from the support A. EI is constant. (a) Determine the deflection B at the hinge using superposition. Clearly state the continuity conditions...
Q.2) A boxed beam shown below supports a uniformly distributed load w 180 N/m. Two parts of the b...
Q.2) A boxed beam shown below supports a uniformly distributed load w 180 N/m. Two parts of the beam AB and BC are connected by a pin at B. Using the integration method, find the deflection at B. Assume E = 200 GPa. 40 180 N/m 60 mm 1 m 75 mm Beam Cross-section
Q.2) A boxed beam shown below supports a uniformly distributed load w 180 N/m. Two parts of the beam AB and BC are connected by a...
fixed support at A, roller support at C, and internal pin at B Uniformly distributed load...
fixed support at A, roller support at C, and internal pin at
B
Uniformly distributed load w=6.00kN/m
a= 2.5 meters
determine the reaction moment at the fixed support A
07
Q2. A simply supported beam AB (Figure 2) supports a uniformly distributed load of q =...
Q2. A simply supported beam AB (Figure 2) supports a uniformly distributed load of q = 18kN/m and a concentrated load of P = 23kN at the centre. Consider length of the beam, L = 3m, Young's modulus, E = 200GPa and moment of inertial, I = 30 x 10 mm-. Assume the deflection of the beam can be expressed by elastic curve equations of the form: y(x) = Ax4 + Bx3 + Cx2 + Dx + E. 1) Sketch...
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...
1.2-3 Segments AB and BCD of beam ABCD are pin con- nected at x- Thebeam is...
1.2-3 Segments AB and BCD of beam ABCD are pin con- nected at x- Thebeam is supported by a pin support at A and roller supports at C and D: the roller at D is rotated by 30° from the x axis (see figure). A trapezoidal dis- tributed load on BC varies in intensity fromat B to at C. A concentrated moment is applied at joint A, inclined load is applied at the mid-span of CD and a (a) Find...
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...
A continuous beam ABC shown in Figure 2 is fixed at A. Supports at B and C are rollers. A uniform distributed load 40kN...
A continuous beam ABC shown in Figure 2 is fixed at A. Supports at B and C are rollers. A uniform distributed load 40kN/m is applied force acts downward on the span of BC as shown in Figure 2. The EI of the beam is over the span of AB and a 60kN constant (a) Determine the internal moments at A and B using the slope-deflection method [10 marks] (b) Draw the bending values of bending (c) Sketch the deformed...
The beam ABC is supported at A with a guided support (fixed with roller) and hinge...
The beam ABC is supported at A with a guided support (fixed with roller) and hinge at B has rectangular cross section and supports concentrated loads P both ends A and C as shown in the figure. The span length from A to Bis L, and the length of the overhang is 1/2. Point D is located midway between the supports at a distance d from the top face of the beam Knowing that the maximum tensile stress (principal stress)...
5- The beam shown below has an internal hinge at point C. Support A is fixed...
5- The beam shown below has an internal hinge at point C. Support A is fixed while support D is a roller. a-Draw the free body diagram for the beam (5 points) b-solve for the reaction forces at support A and D Ax= (5 point) Ay Dy = (5 points) (5 point) Am = (5 points) 50K 3K/ft B 10 ft 10 ft 10 ft
2.- The beam shown in the figure, has a roller support at A, a fixed support at C and an internal hinge at B. The lengths of segments AB and BC are α and b respectively. A uniformly distributed load, q, is applied between points B and C, and a concentrated load P acts at a distance 2a/3 from the support A. EI is constant. (a) Determine the deflection B at the hinge using superposition. Clearly state the continuity conditions...
Q.2) A boxed beam shown below supports a uniformly distributed load w 180 N/m. Two parts of the beam AB and BC are connected by a pin at B. Using the integration method, find the deflection at B. Assume E = 200 GPa. 40 180 N/m 60 mm 1 m 75 mm Beam Cross-section
Q.2) A boxed beam shown below supports a uniformly distributed load w 180 N/m. Two parts of the beam AB and BC are connected by a...
fixed support at A, roller support at C, and internal pin at
B
Uniformly distributed load w=6.00kN/m
a= 2.5 meters
determine the reaction moment at the fixed support A
07
Q2. A simply supported beam AB (Figure 2) supports a uniformly distributed load of q = 18kN/m and a concentrated load of P = 23kN at the centre. Consider length of the beam, L = 3m, Young's modulus, E = 200GPa and moment of inertial, I = 30 x 10 mm-. Assume the deflection of the beam can be expressed by elastic curve equations of the form: y(x) = Ax4 + Bx3 + Cx2 + Dx + E. 1) Sketch...
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...
1.2-3 Segments AB and BCD of beam ABCD are pin con- nected at x- Thebeam is supported by a pin support at A and roller supports at C and D: the roller at D is rotated by 30° from the x axis (see figure). A trapezoidal dis- tributed load on BC varies in intensity fromat B to at C. A concentrated moment is applied at joint A, inclined load is applied at the mid-span of CD and a (a) Find...
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...
A continuous beam ABC shown in Figure 2 is fixed at A. Supports at B and C are rollers. A uniform distributed load 40kN/m is applied force acts downward on the span of BC as shown in Figure 2. The EI of the beam is over the span of AB and a 60kN constant (a) Determine the internal moments at A and B using the slope-deflection method [10 marks] (b) Draw the bending values of bending (c) Sketch the deformed...
The beam ABC is supported at A with a guided support (fixed with roller) and hinge at B has rectangular cross section and supports concentrated loads P both ends A and C as shown in the figure. The span length from A to Bis L, and the length of the overhang is 1/2. Point D is located midway between the supports at a distance d from the top face of the beam Knowing that the maximum tensile stress (principal stress)...
5- The beam shown below has an internal hinge at point C. Support A is fixed while support D is a roller. a-Draw the free body diagram for the beam (5 points) b-solve for the reaction forces at support A and D Ax= (5 point) Ay Dy = (5 points) (5 point) Am = (5 points) 50K 3K/ft B 10 ft 10 ft 10 ft
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