**Assignment Q.4****(a)** Find the support reactions of the beam shown below (M = 10.33 kN-m).**(b)** Write the expressions for shear-force (V) and bending-moment (M) for a beam section between points C and D, as a function of x measured from the left-end support.**Diagram Explanation:**The given diagram shows a simply supported beam with multiple loads and supports:- **Support at Point A:** A hinge support is pinned at point A, which allows rotational movements and supports reactions vertically and horizontally.- **Support at Point B:** A roller support or bearing at point B which can provide a vertical reaction and allows horizontal displacement.**Loads and Distances:**1. **Point Load at A:** A vertical point load of 3 kN downward at the left end of the beam (location A).2. **Uniform Distributed Load between A and C:** A uniformly distributed load (UDL) starting from point A to point D is depicted. - From 0 to 4 m: UDL of 600 N/m - From 4 m to 12 m: UDL of 900 N/m3. **Increasing Load between C and D:** - From point C to point D: A linearly increasing load from 600 N/m to 1200 N/m covering 8 meters.4. **Point Load at D:** A downward-pointing force of 6 kN, applied at an angle of 30 degrees.5. **Dimensions:** - A to B total 20 meters. - Point C is located 4 meters from point A. - Point D is situated 8 meters beyond point C making 12 meters from point A. - Distance between D and point B is 6 meters.This comprehensive illustration contrasts various forces and constraints acting on the beam and introduces a scenario for assessment in structural analysis.---Information like this generally helps create informative resources for students engaged in structural engineering or mechanics studies, allowing them to practice problem-solving related to beam reactions and moments.

Answered: Image /qna-images/answer/ec9fa16e-af67-4ef2-a8c5-689589bbc19d.jpg

Q.4) (a) Find the support reactions of the beam shown below (M = 10.33 kN-m). (b) Write the expressions for shear-force (V) and bending-moment (M) for a beam section between points C and D, as a function of x measured from the left-end support. 3 kN 6 kN 8 m 600 N/m 30 1200 N/m M A B C 900 N/m - 4 m 2 m 12 m 6 m

Q.4) (a) Find the support reactions of the beam shown below (M = 10.33 kN-m). (b) Write the expressions for shear-force (V) and bending-moment (M) for a beam section between points C and D, as a function of x measured from the left-end support. 3 kN 6 kN 8 m 600 N/m 30 1200 N/m M A B C 900 N/m - 4 m 2 m 12 m 6 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
Given the beam shown below (E=200GPa, I=180x106 mm4, 80mmx300mm), do the following: a. Draw the shear force and bending moment diagrams b. Find the magnitude and location of the maximum tensile bending stress c. Using superposition, find the elastic curve and then the deflection of the beam at B, C, and D 8kN 4kN A B 4m 3m 3m
Hi, I want to find the location on the beam where the maximum bending moment happens as measured from point A. I have already gathered the following information. FAx= 0 FAy= 25.0869 FCy= 32.913 the sheer force at B= 3.087 The bending moment at B = 77.4785 Let the loading coefficents be: W1 = 4 kN/m, W2 = 8 kN/m Let the lengths be: L1 = 5.5m , L2 = 6m. If anyone could help me with this last step of the problem that would be great.
481 A Find the shear force and bending moment at points C and D. 300 lb/ft Answer: Vc = -2.11 kip Mc = -3.72 kip ft VD = 900 lbf Mp = -7.35 kip ft D 12 ft 15 ft C weights Lea... B D 3 ft 6 ft I Centroids -... 6000 lb-ft G4.4.1 Weight...
]: A horizontal beam with a length of 4.5 m is subjected to the shown loading. The forces are vertical and the couple moment is applied at point D. The figure is not to scale. 3 kN/ m 1 kN/ m 3 kNm A В C D E 1 т 1.5 m 0.5m 1.5m 0.6 KN 1.35KN (a) Motivate with substantiating explanations and clear and applicable calculations why the beam is in equilibrium. (b) Draw the shear force and bending moment diagrams for the beam. Calculate all local maxima and minima, zeros and points where the diagrams change shape, and show these values and points on the diagrams.
(a) For the cantilever beam shown in Figure Q1, 60 N 40 N/m 80 Nm 1m 1m 1m 1m Figure Q1 (i) write bending moment expression, M(x), using the Macauley's method determine the bending moment using M(x) for specified (ii) cross-sections at E, C and A (iii) justify the bending moment result calculated in (ii) for the free end of the beam at A (b) For a rectangular cross-section of width 100 mm and height 400 mm of a beam, the shear force is 2x106 N. Calculate the shear stress (t) at the following locations: (i) (ii) The top surface (iii) 60 mm from the top surface The neutral axis
Consider the beam in the picture below: 7kN/m 5kN/m P N/m Section 1 Section 2 Section 3 - L/3 L/3 L/3 %3D Take P = the last four digits of your student number in N/m. If P<250 N/m then take P = 30OON/m instead. Take L = the third digit of your student number, reading left to reight. If this value is zero then take L = 2 Assume: The reaction at the Pin = V pin 47000L+9PL )N 54 The reaction at the Roller = Vroller = 61000L+9PL 54 and that both reactions act vertically upwards. a) Find an expression for the internal moment for Section 1. Show all working and any relevant free body diagrams. b) What is the maximum magnitude of the internal moment for Section 1? Mark sure you prove that the value you calculate is the maximum. c) Find an expression for the internal moment for Section 2. Show all working and any relevant free body diagrams. d) What is the maximum magnitude of the internal moment for Section 2? Mark sure you prove that the value you calculate is the maximum. e) Find an…
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
Find Shear force and bending moments by extracting (x) 1.5 kN 2 kN/m 2.5 kN/m mmp B 1.5 m 3.5 m 2 m
Find the shear force and bending moment 1.5 m, 3 m, and 4.5 m from the left end of the beam. 9 kN/m 3 m Answer: x = 1.5 m: V = 3 m: V = 0, M = 27 kN • m x = 4.5 m: V = -10.125 kN, M : 10.125 kN, M = 18.625 kN·m %3D %3D 18.5625 kN · m %3D
7 The Questions Question 4. X Given, B cere RD 26.25 C F = 90 kN, UDL = 40 kN/m UDL The above figure (not drawn to scale) shows a 6 m long beam subjected to a force F and a uniformly distributed load UDL. kN D 補 I»I»I»] Length X = 2m, Length Y= 0.5 m Calculate RB and RD, the vertical reaction forces at the supports. Enter your answers in kilonewtons (kN), correct to 3 decimal places, in the boxes below. RB
The cross-sectional dimensions of a beam are shown. Assume b=3 in., tetw=0.4375 in. and d=3.375 in. (a) If the bending stress at point K is 1860 psi (T), determine the internal bending moment M, acting about the z centroidal axis of the beam. (b) Determine the bending stress oH at point H (positive if tension, negative if compression). K d H bf Answers: (a) M2 = i Ib-ft. ( b) σμ i psi. %3D Save for Later Attempts: 0 of 1 used Submit Answer