Question 10 Construction Of Bending Moment Internal Load Diagrams Using The Method Of Sections The Diagram Below Shows 1 (36.89 KiB) Viewed 77 times
Question 10 Construction Of Bending Moment Internal Load Diagrams Using The Method Of Sections The Diagram Below Shows 2 (36.89 KiB) Viewed 77 times
Question 10 Construction Of Bending Moment Internal Load Diagrams Using The Method Of Sections The Diagram Below Shows 3 (26.41 KiB) Viewed 77 times
Question 10 Construction of bending moment internal load diagrams using the method of sections. The diagram below shows a beam AB of length 6 m that is supported by a pin at A and by a roller at B. The beam is subjected to an external load force of 12 kN and a clockwise couple moment of 6 kN.m. 12 kN 2m M-6 kN.m 6 m Ay = 7 kN By=S KN The magnitude of the support reactions at A and B have been calculated using the conditions for equilibrium of the beam to be Ay = 7 kN up and By = 5 kN up and are also shown on the diagram. This question will require you to sketch the bending moment diagram for the beam on the grid provided, showing the variation in bending moment (M) along the beam. You are to show all your working by answering parts a. and b. a. Consider a point C at a distance "x" from A in the interval 0 sx<2m. The free body diagram for the section AC is as follows M₁(x) V₁(x) Ay = 7 kN Use the equilibrium condition for moments for this section to obtain the equation which shows the relationship of the bending moment "M(x)" to the distance "X". ΣMc = 0
b. Consider a point D at a distance "x" from A in the interval 2 sx<6 m. The free body diagram for the section AD is as follows 12 kN 2 m (x-2) m Mx(x) D V:(x) Ay=7 kN Use the equilibrium condition for moments for this section to obtain the equation which shows the relationship of the bending moment "M₂(x)" to the distance "x". EMD = 0 c. Use your answers to a. and b. to sketch the bending moment (M) diagram for the whole length of the beam. M (kN.m) x(m) 5 6 distance along beam from A TL N 13
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!