Question

A beam AB of 6 m length is subjected to a force of 10kN and a triangular distributed loading as shown in the diagram below. The beam AB is supported by a pin at A and a roller at B. The reaction support forces at the constraints have been calculated for you and are: Ay = 5 KN up ; By = 15 kN up. 16 kN/m A C 20 kN B D -1.5m-1.5m--1.5m-1.5m- a. Replace the triangular distributed load by a single force $F_R$ and determine its position from A. (2 marks) b. Draw the free body diagram of the section AD: $0 \leq x \leq 4.5$ m indicating the shear force V(D), the bending moment M(D) at the point D and all the external forces applied to it, including the replacement of the triangular distributed load by $F_R$ and its position from A. Notice: Point D is included in this section. (1 mark) c. Use this section AD where x: $0 \leq x \leq 4.5$ m, to calculate the magnitude of the shear force V(D) and the bending moment M(D) at D. Notice: Point D is included in this section. (2 marks)

          A beam AB of 6 m length is subjected to a force of 10kN and a triangular distributed loading as shown in the diagram below. The beam AB is supported by a pin at A and a roller at B. The reaction support forces at the constraints have been calculated for you and are: Ay = 5 KN up ; By = 15 kN up.
16 kN/m
A
C
20 kN
B
D
-1.5m-1.5m--1.5m-1.5m-
a. Replace the triangular distributed load by a single force $F_R$ and determine its position from A.
(2 marks)
b. Draw the free body diagram of the section AD: $0 \leq x \leq 4.5$ m indicating the shear force V(D), the bending moment M(D) at the point D and all the external forces applied to it, including the replacement of the triangular distributed load by $F_R$ and its position from A.
Notice: Point D is included in this section.
(1 mark)
c. Use this section AD where x: $0 \leq x \leq 4.5$ m, to calculate the magnitude of the shear force V(D) and the bending moment M(D) at D.
Notice: Point D is included in this section.
(2 marks)

A beam AB of 6 m length is subjected to a force of 10kN and a triangular distributed loading as shown in the diagram below. The beam AB is supported by a pin at A and a roller at B. The reaction support forces at the constraints have been calculated for you and are: Ay = 5 KN up ; By = 15 kN up.
16 kN/m
A
C
20 kN
B
D
-1.5m-1.5m–1.5m-1.5m-
a. Replace the triangular distributed load by a single force FR and determine its position from A.
(2 marks)
b. Draw the free body diagram of the section AD: 0 ≤ x ≤ 4.5 m indicating the shear force V(D), the bending moment M(D) at the point D and all the external forces applied to it, including the replacement of the triangular distributed load by FR and its position from A.
Notice: Point D is included in this section.
(1 mark)
c. Use this section AD where x: 0 ≤ x ≤ 4.5 m, to calculate the magnitude of the shear force V(D) and the bending moment M(D) at D.
Notice: Point D is included in this section.
(2 marks)

Added by Carlos H.

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