Determine the slope and deflection at the free-end of a cantilever beam using different method. Use virtual work method and Castigliano theorem in solving this problem. Ex. slope- virtual work and deflection - Castigliano theorem; vice-versa. Set P = 75 kN and w = 28 kN/m. QUESTION 1Determine the slope and deflection at the free-end of a cantilever beam using different method. Use virtual work method andCastigliano theorem in solving this problem. Ex. slope- virtual work and deflection - Castigliano theorem; vice-versa. Set P = 75 kNand w = 28 kN/m.40 kN100 kN-m-3 m-2 m

Answered: Image /qna-images/answer/b0cb7f4f-08d4-4974-9f91-6a32ac83ca80.jpg

Determine the slope and deflection at the free-end of a cantilever beam using different method. Use virtual work method and Castigliano theorem in solving this problem. Ex. slope- virtual work and deflection - Castigliano theorem; vice-versa. Set P = 75 kN and w = 28 kN/

Determine the slope and deflection at the free-end of a cantilever beam using different method. Use virtual work method and Castigliano theorem in solving this problem. Ex. slope- virtual work and deflection - Castigliano theorem; vice-versa. Set P = 75 kN and w = 28 kN/

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.2.5P: The deflection curve for a cantilever beam AB (sec figure) is given by...

See similar textbooks

Related questions

Q: Diameter A da=140mm and diameter B db=140mm. What is the vertical displacement that occurs in the…

A: Given, dA=140 mmdB=140 mm Length of the beam, L=3 m

Q: What is the minimum steel shear area (Av in sq.mm.) of a beam 300mm wide if fc'=21MPa and fy=340?…

A: Given, Width of the stirrups,w=300mmSpacing of stirrups,s=220mmfc'=21MPafy=340MPaTo…

Q: The composite beam loaded with a triangular distributed load , consists of two aluminum alloy beams…

Q: a) Plot a graph of beam deflection versus load and calculate the stiffness k of the beam using W 8…

A: we have to determine the stiffness and MOI

Q: Before obtaining the slope and deflection at any point on the elastic curve, why is it necessary to…

A: Bending moments are the outcome of transverse loads applied to beams. The bending moment on a…

Q: Calculate the slope at C using ONE of these methods: double integration method, area-moment and…

Q: Answer as soon as possible

A: Given data as per the question Uniform distributed load value = 2.5 k/ft data is taken as from the…

Q: Using the flexibility method to find the bending moment distributions in the members of the L-type…

A: E same for all members Ds=(3m +r -3j) m-member =3(2) + 5 -3(3)…

Q: Problem Statement: Consider an S203x34 beam under self-weight loading only with a length of 11.4 m.…

Q: For a beam with a length of 200 mm, a width of 20 mm and a height of 3 mm, calculate the maximum…

Q: A cantilever beam of length Lis subjected to a concentrated load Pat a distance of L/3 from the free…

A: Given Total length = L Concentrated load = P Load act at L/3 distance Find Deflection

Q: A rectangular section cantilever beam 200 mm wide by 400 mm deep and 2 m long carries a vertically…

Q: Using Area Moment Method: A simply supported beam AB is shown. Assume EI is constant 1. What is the…

Q: Notice: Write via computer. What is meant by beam deflections by the double integration method

A: The deformation of a beam is usually expressed in terms of its deflection from its original unloaded…

Q: 7. A simply supported beam has a concentrated load at the center which fluctuates from a value of P…

Q: A cantilever beam of rectangular cross- section is subjected to load at free end. If the depth of…

Q: Read the question carefully and give me right solution with clear calculations. A cantilever beam…

Q: h L P A cantilever beam has a length L = 8 m and supports a load of P = 9 kN at its free end. The…

Q: A 24-ft, simply supported beam must support a moving concentrated service live load of 50 k in…

Q: Q1: A simply supported beam has a concentrated load at the center which fluctuates from a value of P…

A: Concept Of Machine Design Elements Used

Q: b. A cantilevered beam of length 120 mm, is 25 mm wide and 6 mm thick as shown in Figure 2. The beam…

A: Given, Length of the beam (L)=120mm Width of the beam (b)= 25mm The thickness of the beam (h)=6mm…

Q: Maximum M occurs when the _______________ is ______________. shear; maximum deflection; zero…

A: As we knowshear force F=dMdx

Q: (b) L/3 P↓ ↓ L/3 L/3 Draw the deflection of the beam. Where would you expect the maximum deflection?…

A: Given: There are two loads as P are acting apart L/3 distance and of same quantity. Hence from the…

Q: For the prismatic beam and load shown in fig. determine the slope and deflection at point D

Q: Maximum bending stress increases with the decrease in height for a rectangular cross-section beam.…

A: GIVEN DATA STATEMENT GIVEN - Maximum bending stress increases with the decrease in height for a…

Q: 883XN q u v V V V V V V ww.cos 3mm

A: Draw the free=body diagram of the beam. Apply force equilibrium in horizontal direction. HA=0 Apply…

Q: P a В A 8 m Question 1 Using double integration method, determine the maximum deflection (EIO) in a…

Q: cantilever beam AB supporting a triang load of maximum intensity qo is sho ive the equation of the…

A: The maxm load at sction , x-xconsider the triangle BAC , BA1C1…

Q: A simply-supported beam is subjected to the loading shown in Figure 10.2. The flexural stiffness of…

A: Since you have posted a question with multiple sub-parts, we will solve two subparts for you. To get…

Q: a) the slope of the beam at C (positive if counterclockwise and negative if clockwise). (b) the…

Q: If the "I" value of beam cross section is 6,400,000 mm“ and the maximum distance from the neutral…

A: Section Modulus of the beam is defined as the ratio of moment of inertia to the distance from the…

Q: Choose the correct option . In beam model, which of the following is proportional to curvature of…

A: The first derivative of the deflection is equal to the tangent of the deflection. Second derivative…

Q: c) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000…

A: Given:I=11.5*106 mm4d=180 mmb=23.66 (from previous part)Mmax=25000 Nm

Q: Explain about Deflections of beams by double integration method with example ؟

Q: he right of the beam. For the cast iron beam what is the maximum deflection in the beam? Note:…

Q: Calculate the shear force and the maximum bending moment of beams using for the construction bridge…

Q: Using Conjugate Beam Method: A cantilever beam having a span of 6m is subjected to a concentrated…

A: As per bartleby guidelines only first question is being solved.

Q: Assume that the deflection of a cantilever beam was approximated with linear one-dimensional…

A: Consider the table shown below for length vs deflection. Graph:

Q: A beam is simply supported over a span of 6 m. neglecting the weight of the beam, what is the…

A: For solution refer below images.

Q: A cantilever beam, 850 mm long, carries a uniform load of 5 kN/m. What is the value of Ely at the…

A: Given:L=850 mm =0.85 mW=5 KN/m =5000 N/m

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

For the beam and loading shown, use discontinuity functions to compute(a) the slope of the beam at C (positive if counterclockwise and negative if clockwise).(b) the deflection of the beam at C.Assume LAB = 210 mm, LBC = 140 mm, LCD = 120 mm, LDE = 260 mm, MB = 200 N-m, P = 1080 N and a constant value of EI = 590 × 106 N-mm2 for the beam.
View Policles Current Attempt in Progress For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at C (positive if counterclockwise and negative if clockwise). (b) the deflection of the beam at C. Assume LAB = 230 mm, LBc = 170 mm, LCD= 130 mm, LDE = 290 mm, Mg = 280 N-m, P = 1260 N and a constant value of El = 510 x 106 N- mm2 for the beam. MB |B C |D LAB LBC LCD LDE Answers: rad (a) Oc = mm (b) vc=
Calculate the slope at C using ONE of these methods: double integration method, area-moment and conjugate beam method. Also, determine the deflection at C using EITHER virtual work method or Castigliano theorem method. Set P = 10 kN, w = 2 kN/m, support A is pin and support B is roller. ... 1 m
Required information For the beam shown, use only singularity functions. V₁ = 45 lbf/in and V/₂ = 5 in. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. y 1400 lbf Hinge IA B₁ AC R₂ 4 in 4 in 2 in V1 V2 D R₂ What is the value of the peak moment between points C and D? The peak moment between points C and D is 373.28 lbf.in.
Calculate the beam deflection at point C. E = 206.8 GPa, I„ = 1.873 x 10-6 mª. Use either the double integration method or the moment area method. Show your work. 200 N 500 N 50.8 mm -------z 76.2 mm A 1 m 1 m 2 m
5. Analyze the statically indeterminate beam by force method, and draw the bending moment diagram, assume that El is constant. 40KN Bm 3m 6m
Problem 2 (30 points): The formula for the deflection of the beam shown is: Wo y(x) = (-x5 + 5Lx-10L?x3 + 10L³x²) 120LEI Wo 15 x 107 N L = 2m %3D max m E = 7 × 1011 N m2 I = 6 x 10-4m Use the Newton-Raphson Method to determine the x location along the beam where the deflection is y(x) = 0.14 m. Use a starting guess of xo 1.2 m. Be sure to show your %3D calculation for the derivative of the function and your calculations you use to fill out the table. You only need to perform two iterations of the method, which means you should fill out the table below. Notice that y is defined as positive in the downward direction, which means that both the function and the target deflection are positive values in the coordinate system. y(xn) y'(xn) Xn+1 Step Xn 2.
For the steel cantilevered beam shown, determine the minimum moment of inertia of the structural tee section, Imin if the deflection at the free end is limited to 1.2 in. +4₂ Given: • L=19.1 ft L₂ = 6 ft F=1215 lb • q = 1 kip/ft • 1620.86 q -¹/2 L Save & Grade 4 attempts left Save only IF L in4 H L₂ III ? X0% V 779 Additional attempts available with new variants
Using either Virtual Method or Castigliano Theorem, compute the slope and deflection at point B of the steel beam. Use E = 200 GPa & I = 60 x 106 mm*. Support C is fixed-supported and A is free-end. 3 kN B C A 5 m- 5 m-
A beam of uniform rectangular section 200 mm wide and 300 mm deep is simply supported at its ends. It carries a uniformly distributed load of 9 KN/m run over the entire span of 5 m. if the value of E for the beam material is 1 X 104 N/mm2 , find the slope at the supports and maximum deflection. Give me complete solution based on the given above. Again I need to ask the same question since you gave me a wrong answer before.
Question 16 A simply-supported beam is supported beam is shown in Figure 6. Assume El is constant... Determine the slope and displacement at C using the method of virtual work. topp 2m 12 kN/m 3 m B
Situation 2 | Beam ABCDEFG below is subjected to multiple loads as show. The total length of the beam is 10m. Analyze the beam completely. 6 kN 10 kN 3 kN/m 2 kN 5 kN-m G 3000mm. 1000mm 1000mm. 2000mm. 1000mm 2000mm.