Q.1: Figure Q.1. shows an overhanging beam AD supported at A and C and, uniformly distributed loads of 150 N/m and 250 N/m plus the couple of magnitude 2500 N- m are subjected to the beam. Determine the reactions at A and C, then draw the shearing force and bending moment diagrams. 250 N/m 4 150 N/m D B 2500 N.m 3 m 3 m- 3 m- RA Rc

Q.1: Figure Q.1. shows an overhanging beam AD supported at A and C and, uniformly distributed loads of 150 N/m and 250 N/m plus the couple of magnitude 2500 N- m are subjected to the beam. Determine the reactions at A and C, then draw the shearing force and bending moment diagrams. 250 N/m 4 150 N/m D B 2500 N.m 3 m 3 m- 3 m- RA Rc

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

See similar textbooks

Similar questions

Problem 1 ( forces of 1.5 kid 3.0 kN at points B and C respectively. The cross section of the beam is The simply supported beam shown below is subjected to two concentrated rectangular with a width of 48 mm and a height of 72 mm. The side view showing the cross section is also illustrated below. 1- Draw the shear force and moment diagrams of the beam. From the diagrams, determine the magnitude and location of the maximum bending moment and the maximum transverse shearing force. 2- Determine the moment of inertia of the cross section about the bending axis (neutral axis) 3- Calculate the maximum tensile and compressive stresses in the beam. A 1.5 m 1.5 KN B 1.5 m 3.0 kN с 1.5 m 48 mm 72 mm
Problem 4 (7.91) Find the reactions at supports A and C for the beam shown in the diagram. (No shear or moment diagrams) 700 lb A 8 ft - 4 ft O B 150 lb/ft 6 ft 800 lb ft C
For the figure below, draw free-body diagrams for both the vertical and horizontal portions of the structure supporting the pulley and determine all reaction forces and moments. Then determine the shear and bending moment diagrams for both portions of the structure. Assume the mass of the structure and pulley are negligible. 48 in. 12 in. Cable 100 lb 12 in. pulley rad. 27 in. Cable 100 lb
For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a-3.25 m, b=4.75 m, Pg - 35kN, and Pc = 80kN. Construct the shear- force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. A Ay- 58.66 - Dy- Calculate the reaction forces A, and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Answers: a 56.33 (a) V= (b) V- (c) V- B i i PB B kN с kN C Determine the shear force acting at each of the following locations: (a) x-2m (b)x - 4 m (c) x-8 m Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. 3 3 3 KN D b kN D ·x Dy
A beam is partially loaded with a uniform load of 2 kN/m and a point load of 2 kN as 2 kN 2 kN/m shown below. A B i. Determine the support reaction forces. Draw the Shear Force Diagram using analytical equations. Draw the Bending Moment Diagram using analytical equations. iv. ii. 3 m 2 m iii. Assume beam has a square cross section, dimension the beam cross section as maximum allowable bending stress is given Oall=50 MPa
a beam is supported by a pin support at A and a roller support at B. For this question, leave your answer in terms of the variables w and L. (a) Using equilibrium of the full beam, find the support forces at A and B. (b) First section: Make an arbitrary cut between points A and B. Take the distance of the cut to be x along the beam from point A. Draw the free-body diagram for the left section and find functions for the internal shear force, V(x), and bending moment, M(x), in the section of the beam between A and B. (c) Second section: Repeat part (b) for the section of the beam between B and C. Take x to still be the distance from point A. (f) Find the value of x at which V(x) = 0. The internal bending moment reaches a maximum at the same point as V(x) = 0. Find the maximum bending mo- ment. pin Sketch the shear and bending moment diagrams. B L W C roller
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)
Problems 4.1-4.18 For the beam shown, derive the expressions for V and M, and draw the shear force and bending moment diagrams. Neglect the weight of the beam.
7.16 The figure shows a steel beam which is fixedly clamped in A, and which rests on a roller bearing in B. The beam is 5 meters long, and is loaded with a bending moment of 25 kNm at the end. Determine the stock reactions in A and in B. 25 kNm 2,5 m 2,5 m
PART 1 Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 m, b=2.0 m, PB = 2 kN, PC = 2 kN, and MB = 20 kN-m. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. IMAGE* Calculate the reaction forces Ay and MA acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) IMAGE* PART 2 Determine the shear force acting at each of the following locations:(a) x = 0+ m (i.e., just to the right of fixed support A)(b) x = 3.5– m (i.e., just to the left of B)(c) x = 3.5+ m (i.e., just to the right of B)(d) x = 5.5– m (i.e., just to the left of C)When entering your answers, use the shear force sign convention.Answer:(a) V = ? kN.(b) V = ? kN.(c) V = ? kN.(d) V = ? kN. PART 3…
Q.2. Use the graphical method to draw the shear force and bending moment diaerams for the beam shown in figure (2). Label all significant points on each diagrams and identify the maximum moments along with their respective locations
For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=14.0 ft, b=3.0 ft, c= 7.0 ft, w = 9 kips/ft and M = 300 kip-ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. " " Answers: Ay= Cy= b Calculate the reaction forces Ay and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) i W i a W M a B M B ес b kips kips с Cy с X с -X