### Analysis of Support Reactions at Point A for an Overhanging BeamIn this problem, we are presented with an overhanging beam, which is supported by a pin at point A. The objective is to determine the support reactions solely at point A.#### Figure Description:The provided figure illustrates an overhanging beam that is fixed at point A. The beam extends horizontally to the right from point A, with point B acting as an intermediate support. Here are the specific details from the figure:1. **Forces and Moments:** - A vertical downward force of 400 N is applied on the beam at a distance of 8 meters to the right of point A. - A counterclockwise moment of 800 N·m is applied at the far right end of the beam. 2. **Dimensions:** - The total length of the beam is 12 meters, divided into two segments: 8 meters from A to B, and 4 meters from B to the end. - The height from the beam’s end where the moment is applied to the ground is 5 meters.#### Problem Statement:1. **Find the support reactions at point A only.** - This includes any horizontal (Ax) and vertical (Ay) reaction forces and a moment (MA) at the point of support.By examining the diagram, we will need to apply concepts of static equilibrium to solve for the unknown reactions at support A. The conditions of equilibrium will include:1. The sum of all horizontal forces must be zero.2. The sum of all vertical forces must be zero.3. The sum of all moments about point A must be zero.These principles will be applied to determine the support reactions at point A, ensuring that the beam remains statically balanced under the given forces and moment.

Support reaction at A ie RA and its components Free body diagram:here,

Answered: The overhanging beam, as shown in the…

The overhanging beam, as shown in the Figure below, is supported by a pin at A. Identify the support reactions at A only. -8 m 400 N B 800 N·m 4 m 5 m

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

QUESTION 1 Beam ABCDE as in Figure Q1 is pin connected at A and roller supported at E. (a) Sketch the free body diagram for the beam and determine the unknown reactions. (b) Develop the shear force (V) and bending moment (M) as function of x for section CD, taking point A as the origin. (c) Sketch the shear force and free body diagrams of the entire beam and indicate all important points on the diagrams. [Note: All calculations must be clearly shown] 30 kN w= 15 kN/m A E 15 kN.m B, D 0.5 m 0.5 m 1 m 0.5 m Figure Q1
The beam shown in Figure Q.2 consists of a W610 × 140 structural steel wide-flange shape [E = 200 GPa; I = 1120 × 106 mm4]. If w = 68 kN/m and P = 121 kN , determine: Part A: The reactions at A, B, and D. Choose the reaction force at B as the redundant; therefore, the released beam is simply supported between A and D. a) Calculate the value of the deflection at point B due to uniformly distributed load w in the form ??=?????????/?? Note: EI will cancel out in further calculations. Enter the numerator in the answer box below in kNm3 to three decimal places. Assume the positive direction of deflection in the positive direction of v axis. b) Calculate the value of the deflection at point B due to concentrated load P in the form ??=?????????/?? Note: EI will cancel out in further calculations. Enter the numerator in the answer box below in kNm3 to three decimal places. Assume the positive direction of deflection in the positive direction of v axis. c) Calculate the vertical reaction at…
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a-9 ft, b-6 ft and w=10.5 kips/ft. 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 A, -0, it has been omitted from the free-body diagram.) Answer: (a) Vi (b) V = i (c) V- a Answers: A, kips, Cy Determine the shear force acting at each of the following locations: (a) x = 0+ ft (i..., just to the right of support A) (b) x-9 ft (c)x=13ft When entering your answers, use the shear force sign convention. kips. kips. kips. b (a) M- (b) M- (c) M-i С Cy The shear-force diagram crosses the V = 0 axis between points A and B. Determine the location x where V = 0 kips. Answer:x-i ft. kip-ft. kip-ft. kip-ft. kips. Determine the maximum bending moment that acts anywhere in the beam. When entering your answer, use the bending moment sign convention.…
For the beam and loading shown in Figure 5, determine the value of (r) at the point of action of the resuitant force of the distributed load using point B as the origin. Parabola Vertex 2000 N/m 900 N/m B 6 m A Figure 5: A parabolic distributed load on a beam AB. Answer: If the loading were analysed using point A as the origin, would the value of w at the location of the resultant change? Select one: a. No b. Yes
Figure 1 below shows the bronze and galvani pipes are fastened to rigid supports at ends A and B and to a rigid plate C at their junction. The bronze pipe is twice as long as the galvani pipe. Two equal and symmetrically placed loads P act on the plate at C 1)Write one equilibrium equation involving reaction forces of the pipes with the help of free body diagram.[Note: Show all the forces acting on the members.] 2)Derive equilibrium equations for internal forces for section AC and BC with the help of respective free body diagrams.[Note: Show all the forces acting on the members.]
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
Figure Q2 shows a beam subjected to distributed loading. Knowing the beam is fixed supported at one end and roller supported at the other end; Define support reactions of the beam
1. Find the support reactions (use Verignon’s Theorem with force components and equilibrium of a free body diagram) (ps. this is an architectural structures class and I am struggling with how to begin. This is a mixture of physics and math.)
In Figure Q3a, a beam is supported at A and C with a uniformly distributed load of20 kN/m between A and B. Draw and label the shear force diagram (SFD) andbending moment diagram (BMD) for the beam shown in Figure Q3a. Label thevalues for shear force and bending moment at points A, B, C & at the beam midpoint M; the maximum bending moment and its distance from A; and clearlyindicate the type of bending between AB and between BC
1. The cantilever beam in Figure 1 is fixed at A, and is loaded with a distributed load from A to B and a concentrated moment at C. Use the GRAPHICAL METHOD to plot the shear force and bending moment diagrams for the entire length of the beam. Label values at all key locations on the plots (at changes in loads, maxima, minima, and zeroes). Annotate your diagrams to explain how they were drawn (e.g. "AQAB = (-12 kN/m)(1 m) = -12 kN" and "(dQ/dx)AB = -12 kN/m"). 12 kN/m 5 kNm ZA B D 1 m 0.5 m 0.5 m Figure 1.
Task III (Equilibrium of Rigid Body) If the beam in the figure below is in equilibrium (A is a pin and B is a roller), determine the following: (Neglect the thickness of the beam) 450 N 300 N 30% B 4 m A. Replace the supports on points A and B with their reaction forces. B. Draw the FBD for the beam. C. Write the equilibrium equations of the forces in x, y axes.
This question is made of two separate parts related to figures 1 and 2. 3 m a Figure 1 The support reaction at pin A along y-axis is The support reaction at roller B is 2 m in in B direction A| Figure 1 A beam AB is supported by a pin at A and a roller at B. The beam is subjected to force F of 450N, making an angle a-400 with horizontal as shown in figure 1. The support reaction at pin A along x-axis is to the direction L Figure 2 B 4 Figure 2 A beam AB of length L-1 m is supported by a pin at A and a cable BC at point B. The beam is subject to an external moment M-550 N.m at B as shown in figure 2. The force in cable BC is and it is in 3 С.