b) Given l = 1000 mm and P = 4000 N, select the internal shear force and %3D %3D moment diagram for the options below: Shear force and moment diagram 1000 -1000 -2000 BO0000 600000 400000 200000 200 400 600 800 1000 Shear force and moment diagram 1000 -1000 -2000 -200000 -400000 -600000 Shear force and moment diagram 1000 1000 -2000 le6 2.5 2.0 15 10 0.5 00 200 400 600 800 1000 Shear force and moment diagram 2500 E 2000 1500 1000 500 800000 600000 400000 200000 600 1000 200 400 800 Moment (N'mm) Shear force IN Shear force (N) Moment (N'mm) Moment (N*mm) Shear force (N) Moment (N'mm) Shear force (N) Question 5 A simply supported beam of a total length l is shown in Figure Q5, where point A is supported by a pin connection and point C is supported by a roller support. The concentrated load is P at the location of 21/3. Determine the shear-force and bending-moment distributions produced in the beam by the concentrated load P. Note that adatpive marking has been used to consider the method mark. P 21 3 3 A C В Figure Q5: A simply supported beam with a concentrated load applied a) (1) The support reaction forces at the A and C, be careful of the sign. R (mathematical expression) %3D R, (mathematical expression) (2) Give the expressions of the shear and moment at an arbitrary poistion r of AB segment, be careful of the sign. (mathematical expression) (mathematical expression) %3D (3) Give the expressions of the shear and moment at an arbitrary poistion x of BC segment, be careful of the sign. Vs (mathematical expression) %3D (mathematical expression) %3D II
b) Given l = 1000 mm and P = 4000 N, select the internal shear force and %3D %3D moment diagram for the options below: Shear force and moment diagram 1000 -1000 -2000 BO0000 600000 400000 200000 200 400 600 800 1000 Shear force and moment diagram 1000 -1000 -2000 -200000 -400000 -600000 Shear force and moment diagram 1000 1000 -2000 le6 2.5 2.0 15 10 0.5 00 200 400 600 800 1000 Shear force and moment diagram 2500 E 2000 1500 1000 500 800000 600000 400000 200000 600 1000 200 400 800 Moment (N'mm) Shear force IN Shear force (N) Moment (N'mm) Moment (N*mm) Shear force (N) Moment (N'mm) Shear force (N) Question 5 A simply supported beam of a total length l is shown in Figure Q5, where point A is supported by a pin connection and point C is supported by a roller support. The concentrated load is P at the location of 21/3. Determine the shear-force and bending-moment distributions produced in the beam by the concentrated load P. Note that adatpive marking has been used to consider the method mark. P 21 3 3 A C В Figure Q5: A simply supported beam with a concentrated load applied a) (1) The support reaction forces at the A and C, be careful of the sign. R (mathematical expression) %3D R, (mathematical expression) (2) Give the expressions of the shear and moment at an arbitrary poistion r of AB segment, be careful of the sign. (mathematical expression) (mathematical expression) %3D (3) Give the expressions of the shear and moment at an arbitrary poistion x of BC segment, be careful of the sign. Vs (mathematical expression) %3D (mathematical expression) %3D II
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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