P2: In the system shown, the beam is subjected to three support reactions (caused by different external effects), as shown. The values of forces are reported as: F.- 5.79 kN, F-9.64 kN, and F 11.6 kN. Draw the Shear Force, V(x), and Bending Moment, M(x), diagrams. Fa Fc 140 m

P2: In the system shown, the beam is subjected to three support reactions (caused by different external effects), as shown. The values of forces are reported as: F.- 5.79 kN, F-9.64 kN, and F 11.6 kN. Draw the Shear Force, V(x), and Bending Moment, M(x), diagrams. Fa Fc 140 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

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
Q2.Determine bending moment values and shear force values at all load points and supports, also draw the Shear and Moment Diagram: Determination of Reactions RA and RB: Theoretical Shear force at all points: SFA = SFB = SFC = SFD = SFE = Theoretical Bending Moment at all points: BMA = BMB = BMC = BMD = BME =
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)
Question 2. A X Given, B RD: 8.75 C F₂ The above figure (not drawn to scale) shows a 6 m long beam subjected to forces F₁, and F₂. KN D »I»I»E F₁ = 80 kN, F₂ = 50 kN Length X = 2 m, Length Y = 1.5 m Calculate RB and Rp, the vertical reaction forces at the supports, B and D respectively. Enter your answers in kilonewtons (kN) in the boxes below: RB: 101.25 kN
3.15 Plot the shear force and bending moment diagrams of the beam loaded as shown in the figure qa²/2 A a а
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…
A storage rack to hold the paper roll. Find force reactions and draw the shear and moment diagrams for the mandrel that extends half of the roll. Use singularity functions for this problem. Givens stanchion paper roll Density=984 kg/m^-3 OD=1.5 m ID=0.22 m L=3.23 m Density=mass/volume So W=(density*volume)*gravity Volume of hollow cylinder= (pi/4)(OD^2-ID^2)*Length of cylinder Length of mandrel=1/2 of L=>1.615 m mandrel base Assumptions: The storage rack is acting with a fixed support With a distributed load of "w" where w is the weight distrubuted
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
Fj = 375 lb F = 500 lb 4 В. 0.5 ft 8 ft 6 ft 5 ft- 30° F3 = 160 lb II The cantilevered beam above is subjected to an array of forces. Assume that the loading system is to be simplified/summarized by a single resultant force and couple moment acting at point B. Which of the following is closest to the vertical component of the resultant force (i.e. Fry)? a) -220 Ib O b) -140 lb c) 1035 lb d) -914 lb
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 m, b=2.5 m, PB = 4 kN, PC = 4 kN, and MB = 60 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.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.)Answers: Ay = kN, MA = kN-m.
For the problem shown below (left), W = 51 lbs while L1 = 4.4 inches and L2 = 12 inches. This results in the shear force diagram as shown on the right, where A, is the reaction force in the vertical direction at point A. Based on this shear diagram, what is the maximum moment in the portion of the horizontal beam from x = O to x = L1 in units of lb-in to two decimal places. (Be sure to use a negative sign to designate a negative moment if necessary.) A |--L1-——————— L2 Ay lb 0 -Ay lb W L1 L2 W -L1- BO L1- -X