Determine the reactions at the fixed support A and the roller B.
Determine the reactions at the fixed support A and the roller B. EI is constant.
Homework Answers
Draw the free body diagram of the beam.
Consider the equilibrium conditions.
Calculate the bending moment at each point for drawing the 
diagram.
For
,
The bending moment,
When
, 
.
When
, 
.
For 
,
The bending moment,
When
, 
.
Draw the 
diagram.
Since B is a fixed support, the slope at B,
Determine the slope at point A.
Therefore, the slope at A, 
.
Determine the deflection at A,
Therefore, the deflection at A, 
.
Determine the reactions at the roller support B and the pin support A Determine the reactions...
Determine the reactions at the roller support B and the pin support
A
Determine the reactions at the roller support B and the pin support A 1 end 6 kN A-t 6 kN/m 3 m
Determine the displacement at C. Assume A is a fixed support, B is a pin, and D is a roller. EI is constant. Use the conjugate beam method.
Determine the displacement at C. Assume A is a fixed support, B is a pin, and D is a roller. EI is
constant. Use the conjugate beam method.
5. use the force method to determine the reactions at the support draw the Shear and...
5. use the force method to determine the reactions at the support draw the Shear and moment diagrams. Assume A is fixed and B is a roller EI is constant Ау Ах Ma By K K ft.k K 15k А 서 3 + 10' 10'
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...
SAN4701 OCT/NOV 2017 QUESTION 1 The beam shown in Figure 1 is fixed at support A and support C, support B is a roller s...
SAN4701 OCT/NOV 2017 QUESTION 1 The beam shown in Figure 1 is fixed at support A and support C, support B is a roller support. Use the stiffness matrix method to determine the. Member stiffness matrix 11 1.2 Structure and load matrix (10) 13 Displacement matrix Reactions at the support 14 15. Moments at the fixed supports El is constant along the length of the beam 18 kN 10 kN 20 m 10 m 1 15 m15 m Figure 1...
Determine the support reactions at A (roller) and B (pin). 800 N/m 3 m
Determine the support reactions at A (roller) and B (pin).
800 N/m 3 m
7. Find the reactions at the pinned support and on the roller support. Then, determine the...
7. Find the reactions at the pinned support and on the roller support. Then, determine the shear force and bending moment diagram as a function of r 48 kN/ m 6 m
1. Determine the reactions at the supports. Assume the support at A is fixed and B...
1. Determine the reactions at the supports. Assume the support at A is fixed and B is a roller. Take E 200 GPa. The moment of inertia for each segment is given. Use principle of virtual work to find all required displacements. 25 kN 30 kN/m ГВ IAB 360(10) mm A TBC 180(10) mm 6 m 4 m
12 kN 3 kN/m Fixed support B A Roller support 3 m m A beam is...
12 kN 3 kN/m Fixed support B A Roller support 3 m m A beam is fixed at A and supported by a roller at B. The beam has E = 100 GPa and I 1.0 x 10-5 m4. For the loading shown, complete the following: 1. Calculate the magnitude and direction of all reactions at A. 2. Calculate the magnitude and direction of all reactions at B. 3. Calculate the magnitude and direction of the rotation at B.
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
Determine the reactions at the roller support B and the pin support
A
Determine the reactions at the roller support B and the pin support A 1 end 6 kN A-t 6 kN/m 3 m
5. use the force method to determine the reactions at the support draw the Shear and moment diagrams. Assume A is fixed and B is a roller EI is constant Ау Ах Ma By K K ft.k K 15k А 서 3 + 10' 10'
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...
SAN4701 OCT/NOV 2017 QUESTION 1 The beam shown in Figure 1 is fixed at support A and support C, support B is a roller support. Use the stiffness matrix method to determine the. Member stiffness matrix 11 1.2 Structure and load matrix (10) 13 Displacement matrix Reactions at the support 14 15. Moments at the fixed supports El is constant along the length of the beam 18 kN 10 kN 20 m 10 m 1 15 m15 m Figure 1...
Determine the support reactions at A (roller) and B (pin).
800 N/m 3 m
7. Find the reactions at the pinned support and on the roller support. Then, determine the shear force and bending moment diagram as a function of r 48 kN/ m 6 m
1. Determine the reactions at the supports. Assume the support at A is fixed and B is a roller. Take E 200 GPa. The moment of inertia for each segment is given. Use principle of virtual work to find all required displacements. 25 kN 30 kN/m ГВ IAB 360(10) mm A TBC 180(10) mm 6 m 4 m
12 kN 3 kN/m Fixed support B A Roller support 3 m m A beam is fixed at A and supported by a roller at B. The beam has E = 100 GPa and I 1.0 x 10-5 m4. For the loading shown, complete the following: 1. Calculate the magnitude and direction of all reactions at A. 2. Calculate the magnitude and direction of all reactions at B. 3. Calculate the magnitude and direction of the rotation at B.
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
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