The beam in the figure below is subjected to a load P = 4.6 kN at its end. Young’s modulus is 210 GPa and the moment of inertia for the beam’s cross-section is 5×106 mm4. If a = 1.6 m and b = 1 m, determine: a) Reaction value at support A. Positive direction is considered upwards. Enter your answer in kN to 2 decimal places. b) moment equation M(x1) in the segment AB, where x1 changes from 0 at support A to a at support B. Enter the equation in terms of variables P, a,b and x1. c) moment equation M(x2) in the segment BC, where x2 changes from 0 at point C to b at support B.
The beam in the figure below is subjected to a load P = 4.6 kN at its end. Young’s modulus is 210 GPa and the moment of inertia for the beam’s cross-section is 5×106 mm4.
If a = 1.6 m and b = 1 m, determine:
a) Reaction value at support A. Positive direction is considered upwards. Enter your answer in kN to 2 decimal places.
b) moment equation M(x1) in the segment AB, where x1 changes from 0 at support A to a at support B. Enter the equation in terms of variables P, a,b and x1.
c) moment equation M(x2) in the segment BC, where x2 changes from 0 at point C to b at support B. Enter the equation in terms of variables P, a, band x2.
Use the double-integration method to determine the equation of the slope and elastic curve for both segments. Constants of integration C1and C2 are in the equations for segment AB, constants C3 and C4 are in the equations for segment BC. Using the boundary conditions and continuity equation, calculate:
d) the value of the constant of integration C1. Enter your answer in kNm2to 3 decimal places.
e) the value of the constant of integration C2. Enter your answer in kNm3to 3 decimal places.
f) the value of the constant of integration C3. Enter your answer in kNm2to 3 decimal places.
g) the value of the constant of integration C4. Enter your answer in kNm3to 3 decimal places.
h) the value of displacement at point C. Enter your answer in mm to 3 decimal places.
j) the value of maximum displacement in the segment AB. Enter your answer in mm to 3 decimal places.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
