Figure 2 shows the beam is loaded by distributed loading as shown. Identify the type of support. a) b) c) d) Sketch the free body diagram (FBD) and determine the length b of the triangular load and its position a on the beam such that the equivalent resultant force is zero and the resultant couple moment is 8 kNm clockwise. Determine the support reaction at A. Determine the new support reaction, if the support at A is changed to roller support and pinned support at free end.

Figure 2 shows the beam is loaded by distributed loading as shown. Identify the type of support. a) b) c) d) Sketch the free body diagram (FBD) and determine the length b of the triangular load and its position a on the beam such that the equivalent resultant force is zero and the resultant couple moment is 8 kNm clockwise. Determine the support reaction at A. Determine the new support reaction, if the support at A is changed to roller support and pinned support at free end.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Q2(a) An I-beam with varying distributed loadings is shown in Figure 2(a). Solve for the equivalent resultant force, and replace the distributed loading by specifying the resultant force location measured from point O. i. Sketch the free body diagram of the relocated resultant force from point O and the support reactions at O and B. ii. iii. Solve for the reaction forces at support A and B. 200 N/m 4 m 3 m Figure Q2(a) (b) Figure Q2(b) shows three smooth journal bearings at A, B, and C with four external loads. i. Sketch the FBD for all forces and reactions along rod ABC. ii. Solve the support reactions at all journal bearings collar A, B, and C. 900 N 600 N 450 N 0.6 m 0.9 m 0.6 m B. 0.9 m 0.9 m 0.9 m y 500 N 0.9 m Figure Q2(b)
4) Take that W₂= 3.8 kN/m intensity for the distributed load below. The fixed support at O can have support reactions with a vertical and horizontal force and a moment. B) Answers: A) Show your free body diagram with the resultant loads, their locations and indicate the support reactions. Mo = Ox= -3 m- Oy = Wo 1.5 m- What are the support reactions at the fixed support at O?
Version: b Determine the length b of the triangular load and its position a on the beam such that the equivalent resultant force is zero and the resultant couple moment is MR Let M₂ = -30 kN - m R Assume the intensities of the distributed loading be w = 12 kN/m w = 5 kN/m r Let the length of the beam be d = 8 m A b W₁ Wr d Note that the sign of MR indicates whether the couple moment is positive (CCW) or negative (CW). Also, position a may be negative, which indicates that the length of the rectangular load is shorter than the triangular load.