DEFLECTIONS OF BEAMS
For the beam shown in figure 1, calculate the unknown reactions of the beam. Also determine the slope and deflection at point A using integration method. ???? ? = 2.10ଶ ??? ??? ? = 40. 10ି ?ସ.
Homework Answers
The cantilevered beam shown here has a known rigidity, EI, andlength, b, and is loaded...
The cantilevered beam shown here has a known rigidity, EI, and
length, b, and is loaded with a point force and a point moment as
shown a) Determine all reactions forces and draw the shear and
moment diagrams for this loading.b) Using discontinuity functions and the integration method,
find the deflection and the slope of the beam at the free
end.c) Using the moment-area method, find the deflection and the
slope of the beam at the location of the point load.
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...
For the beam shown determine:
E= 200GPa I=700*106 mm4For the beam shown determine:1. Using the method of the three-moment equation, determine the reactions at eachone of the supports.2. Using the double integration method, determine the slope and deflection equations.that describe the behaviorthroughout the beam.3. Using the moment area method verify that the deflection values at C and theslope in B are similar to thoseobtained through the double integration method.4. Ask God for forgiveness for all your sins
Using Conjugate Beam Method, Determine the Deflection and slope at mid-span of a simply supported beam,...
Using Conjugate Beam Method,
Determine the Deflection and slope at mid-span of a simply
supported beam, as shown in figure
Using Conjugate Beam Method, Determine the Deflection and slope at mid 40 kN 60 kN
volume of an object as a function of time is calculated by V-Ap+B/t, where t is...
volume of an object as a function of time is calculated by V-Ap+B/t, where t is time r 10. The volume of in V is e asured in seconds and V is in cubic meters. Determine the dimension of the constants 4 and B a) A [m's'] and B [m/s b) A m/s'] and B [m/s) c) A (n'/s) and B (m%) d) A[m'] and B [m e) A [1/s)] and B [1/s] Problem 1 Determine the slope and deflection...
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...
Structural Analysis For the load shown in the figure, determine A) The equation of the elastic...
Structural Analysis
For the load shown in the figure, determine
A) The equation of the elastic curve for the cantilever AB
B) The deflection at the free end
C) The slope at the free end.
PS: Determine the equations of slope and elastic curve by the
DOUBLE INTEGRATION METHOD
PS: Calculate the slopes and deflections requested in each beam by
the MOMENTAL AREA METHOD.
Question 4 (25 marks) For the beam and loading shown in Figure 4, knowing that a...
Question 4 (25 marks) For the beam and loading shown in Figure 4, knowing that a GPa, determine (a) the slope at support A, (b) the deflection at point C. (using integration method) 2m, w 50KN/m and E 200 80 w 20 60 Unit: mm A 10 60 В а 20 6 m 80 (a) Beam loading (b) Cross section Figure 4
9. For the beam loaded and supported as shown in Figure (see Week 4), use the integration method ...
9. For the beam loaded and supported as shown in Figure (see Week 4), use the integration method to determine (a) The equation of the elastic curve using the xi and x2 coordinates (b) The slope at A. (c) The deflection at C Take E 200 GPa and1- 4 x 108 mm4 30 kN 20 kNm 4 m 2 m
9. For the beam loaded and supported as shown in Figure (see Week 4), use the integration method to determine...
QUESTION3 As shown in Figure Q3, a cantilever beam ABCD is used to support uniform load 4 KN/m al...
QUESTION3 As shown in Figure Q3, a cantilever beam ABCD is used to support uniform load 4 KN/m along span BC and momvent at point A. U'sing Macaulay's method, L express the deflection of the beam stiffness in terms of E 6 marks) ii. determine the deflection at point C, and (2 marks) ili. calculate the slope at end A (2 marks) 3 kNm Figure QWRajah S3
QUESTION3 As shown in Figure Q3, a cantilever beam ABCD is used to...
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...
Using Conjugate Beam Method,
Determine the Deflection and slope at mid-span of a simply
supported beam, as shown in figure
Using Conjugate Beam Method, Determine the Deflection and slope at mid 40 kN 60 kN
volume of an object as a function of time is calculated by V-Ap+B/t, where t is time r 10. The volume of in V is e asured in seconds and V is in cubic meters. Determine the dimension of the constants 4 and B a) A [m's'] and B [m/s b) A m/s'] and B [m/s) c) A (n'/s) and B (m%) d) A[m'] and B [m e) A [1/s)] and B [1/s] Problem 1 Determine the slope and deflection...
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...
Structural Analysis
For the load shown in the figure, determine
A) The equation of the elastic curve for the cantilever AB
B) The deflection at the free end
C) The slope at the free end.
PS: Determine the equations of slope and elastic curve by the
DOUBLE INTEGRATION METHOD
PS: Calculate the slopes and deflections requested in each beam by
the MOMENTAL AREA METHOD.
Question 4 (25 marks) For the beam and loading shown in Figure 4, knowing that a GPa, determine (a) the slope at support A, (b) the deflection at point C. (using integration method) 2m, w 50KN/m and E 200 80 w 20 60 Unit: mm A 10 60 В а 20 6 m 80 (a) Beam loading (b) Cross section Figure 4
9. For the beam loaded and supported as shown in Figure (see Week 4), use the integration method to determine (a) The equation of the elastic curve using the xi and x2 coordinates (b) The slope at A. (c) The deflection at C Take E 200 GPa and1- 4 x 108 mm4 30 kN 20 kNm 4 m 2 m
9. For the beam loaded and supported as shown in Figure (see Week 4), use the integration method to determine...
QUESTION3 As shown in Figure Q3, a cantilever beam ABCD is used to support uniform load 4 KN/m along span BC and momvent at point A. U'sing Macaulay's method, L express the deflection of the beam stiffness in terms of E 6 marks) ii. determine the deflection at point C, and (2 marks) ili. calculate the slope at end A (2 marks) 3 kNm Figure QWRajah S3
QUESTION3 As shown in Figure Q3, a cantilever beam ABCD is used to...
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