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

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.4.32P: Two identical, simply supported beams AB and CD are placed so that they cross each other at their...

See similar textbooks

Similar questions

Q.3) (a) Find the support reactions of the beam shown below. (b) Find the shear-force and the bending-moment in the beam at point B. (c) Write the expressions for shear-force (V) and bending-moment (M) for the beam as a function of distant 'x' from the left-end support of the beam. 100 lb/ft 300 lb A •C D K4 ft 4 ft 2 ft 2 ft
The bending moment diagram and cross-section for a beam are shown below. Use the elastic flexural formula ox = -Mzy/l, to determine the required strength of the beam to resist the compressive stresses. Circle the correct answer for the compressive strength in ksi: 2.3, 2.5, 27.5, 30, 37.7 Show your work below. Bending Moment Diagram Beam Cross-Section 4" +50 2' (K-Fe) 2" 2" - 40 2"
A beam is supported and loaded as shown. In the section of the beam between 'A' and 'B', the equation for the resisting bending moment was determined as: M₁ = -6.5x²+50x. Determine the magnitude of maximum resisting bending moment (Mr,max) in the section. Note: Do NOT include units in your answer Answer: AA B
Give the following problem a try. If you get stuck, here is one way to work it: Essential Solution Video. Determine the bending moment M in the beam at the point located L = 3.15 m to the left of point C. The ground reactions and shear- force diagram are shown. 40.0 KN Units: KN 3 m B 65.60 KN 65.60 65.60 25,60 O 202.5 kN-m O 163.5 kN-m O 149.2 kN-m O 120.1 kN-m O 110.0 kN-m 7.0 kN/m 12 m @x=6.66 m 58.40 KN -58.40 X
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Leta = 5.2 ft, w = 235 Ib/ft, Mp = 7000 lb-ft, and P = 11001b. 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. Mp Determine the bending moment acting at each of the following locations: (a) x = 5.2 ft (i.e., at point B) (b) x = 10.4 ft (i.e., at point C) (c) x = 15.6 – ft (i.e., just to the left of point D) (d) x = 15.6 + ft (i.e., just to the right of point D) (e) x = 20.8 ft (i.e., at point E) When entering your answers, use the bending moment sign convention.
1. A simply supported beam with length of 5 Meters is loaded with a counterclockwise couple of 5 KN.M at I Meter from the left support and a point load of 5 KN at 3 Meters from the left support. The beam is an I-Section with the following dimensions: bf = 250 MM tf = 16 MM tw = 10MM d = 350 MM Determine the MaxiMUM tensile and compressive bending stress developed in the beam. 2. A simply supported beam with a length of 4M is loaded with a uniform distributed load (w). The beam has a rectangular hollow section with the following dimensions: Outer Base = 150 MM Outer Depth = 200 MM Inner Base = 100 MM Inner Depth = 150 mm Determine the maximum uniformly distributed load which can be applied over the entire length of the beam if the bending stress is limited to 8 Mpa.
2. Draw shear force and bending moment diagrams for the beam shown in figure. 50 kN/m 20 kN/m 2 m 2 m - 2 m Ro Hello sir, please the same source as the question solution. 3. Relation between load, shear and moment: The free body diagram wdx :- %3! W (N/m) 严 of segment of this beam of length (dx) is shown M+4M but wdx is the summation of area between (x, and x2) in figure (2). V+av ..V, -V, = AV = (area) nad RI %3! similarly M2 (1) (2) ( dM = Vdx EF, =0= V +wdx-(V+dV)%3D0 w ------- Intensity of load (N/m) . dV =wdx M1 M, - M, = AM = (area ) hm %3! dx M, =0= M+Vdx + (wdx)-(M + dM) =0 shear AP . W =- (dr)? dx (slope of shear diagram) Where: :ero 2 .. dM Vdx dM :.V = dx (slope of moment diagram) for (dV = wdx ) we can integrating
Draw the shear force and bending moment diagrams for the beam with loading shown below, P= 16 kN, w= 30 kN/m, M=40 kN.m. Also, state the maxmium shear force and bending moment in the text box. (Upload the diagrams showing all key values with units as well as neat and clear calculations) P kN P kN w kN/m M KN.m A 0.5 m 1 m 1 m- 1 m- -1 m
For the simply supported beam subjected to the loads shown. Let a-3.00 m, b=4.00 m, PB = 30kN, and Pc = 65kN. Construct the shear-force and bending- moment diagrams on paper and use the results to answer the questions in the subsequent parts a ANSWER IN KN B PB Pc C b Calculate the reaction forces Ay acting on the beam. D x
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
For the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending moment M for any location in the beam. (Place the origin at point A.) Let a=2.50 m, b=4.25 m, PB = 45kN, and Pc = 90kN. 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 = Dy= Mi i B Calculate the reaction forces Ay 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.) PB a PB B a Pc a Pc C kN b KN b D X D₂ X
1: Determine the internal normal force and shear force, and the bending moment in the beam at points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load. For your explanation section, complete a FBD of the other side of the beam from the version you did to solve the problem. 8 kip 40 kip · ft D B 8 ft – 8 ft 8 ft