Use the Force Method to analyse the frame shown in the Figure by introducing hinges and correspondingredundant bending moments at points B and C. Plot the bending moment (M) and shear force (V) diagrams forthe loading shown.12 kN/mA16 kN↓BC4.5 m4.5 m6 mEl is constant all across the structure.72 kN.mDD'℃Assume the unit moments thisway to get consistent results4.5 m4.5 mA) Find X1 (see the similar example(s) of the note if you do not know what X1, X2 are) - X1 is associated with theunit moment at B.B) Find X2. Note: X2 is associated with the unit moment at C.C) Based on X1 and X2: Find RAX (Horizontal reaction at A)|D) Based on Xland X2: Find RAY (Vertical reaction at A)1

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Answered: Use the Force Method to analyse the…

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 10.4.13P: -4-13 A propped cantilever beam of a length 2L is loaded by a uniformly distributed load with...

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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=2.75 m, b=5.00 m, PB = 60KN, 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. Answers: Ay = Dy= tel tel a i B a 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 B a PB Pc a C Pc C KN b KN D b D X D₂ X
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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=8.5 ft, b=24.0 ft, P = 30 kips and w = 5.5 kips/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.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.) Determine the shear force acting at each of the following locations:(a) x = 8.5- ft (i.e., just to the left of point B)(b) x = 8.5+ ft (i.e., just to the right of point B)(c) x = 30.5 ftNote that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. Determine the bending moment acting at each of…
Bridges are usually modeled as simply supported beams. Your role in a building and construction company is to analyse and design the bridge based on simply supported beam theory. Your manager asked you to perform a stress analysis for bridge element modelled as simply supported beam shown in the Figure.1(a), this task is best achieved by performing the following required steps: 2 kN 3 kN/m 3 kN/m 3kN.m A 0.5 kN 4.5 kN kN 2 m 1 т+1m- 2 m R| -2 m (а) (b) Figure.1: (a) Bridge element modelled as simply supported beam (b) Beam section
Use singularity functions to obtain shear force, bending moment, and deflections of the beams for the following 2 cases
Please only include the sketch mentioned in the question as I have already provided the calculation and answers to the question.
SOLVE STEP BY STEP WITHOUT ARTIFICIAL INTELLIGENCE, SOLVE BY HAND STEP BY STEP Virtual load method on frames. For each case, consider El = constant: 2. Calculate the horizontal, vertical and angular displacement at node B. Draw the axial force, shear force and bending moment diagrams. 1 Ton/m 1 Ton B A DIMENSIONS IN m 5.00 3.00
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Can you help me find the moment reactions aswell as Shear force and bending moments. With a UDL
A 16 kN/m 80 kN.m C 75 kN B 2 m 2m 1 m 2 m 5 m El is constant all across the structure. D Use the Force Method to analyse the beam shown in the Figure by introducing hinges and corresponding redundant bending moments at points A, B, C. Plot the bending moment (M) and shear force (V) diagrams for the loading shown. A) Find X1 (see the similar example(s) of the note if you do not know what X1, X2 and X3 are) - XI is associated with the unit moment at A. B) Find X2. Note: X2 is associated with the unit moment at B. C) Find X3. Note: X3 is associated with the unit moment at C. D) Based on X1, X2, and X3: Find Ray (Vertical reaction at A). E) Based on X1, X2, and X3: Find Roy (Vertical reaction at D)
Could you help me with the first few steps on solving this using vectors? I need to calculate the forces in AB and BC. I don't the answer right away but I don't know where to start.

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