Answered: Simply supported beam with varying load…

Simply supported beam with varying load shown in figure by using finite difference method and a step size of h-0.251,EI d'y/dx = p |2p For i = 2, the equation is

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Given a cantilever beam of length L=4.1meters. The left support “A” is free while the right end “B”…

A: EI = 19000 KNm2 Taking point-A as a origin. Determine the first constant of integration (C1) using…

Q: Q- (A} the simply supported beam supporting a load at two point as shown in Figure. (B) : (50 %) :…

Q: PLEASE REFER TO THE GIVEN VALUES BELOW. For the beam loaded as shown in the figure, determine the…

A: Given data E = 200 GPA = 2 × 105 N/mm2 b×d = 300mm × 300 mm Moment of Inertia (I) I = bd3/12…

Q: or the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at B…

Q: Consider

Q: Q2 Use Finite difference method to solve the beam shown in Figure and find 1. The deflection at the…

A: Due to load conditions, structural elements like beams, columns, and slabs go under crack or…

Q: 1. Draw the deflection diagram for the following figure 2. Use the double integration method to…

A: “Since you have asked solution with multiple method, we are solving with the double integration…

Q: Consider the beam shown in (Figure 1). EI is constant. Follow the sign convention for positive…

Q: Figure Q1(b) shows the steel truss with a 3-meter span. The cross-sectional area for all members of…

Q: Calculate the displacement at the free end of the inclined beam shown in Figur the problem when the…

A: P = 20,000N I = 20 x 106 mm4 A = 2500 mm2 L = 4m = 4000mm E = young's modulus of elasticity Let v…

Q: For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at…

A: Given:- Given Data:EI = 136000 kips.ft2w0=4.6kips/ft, LAB=13ft, LBC=7ft

Q: The cantilever beam consists of a rectangular structural steel tube shape [E = 200 GPa; 1= 350 × 106…

A: Given: E=200 GPaI=350×106 mm4P=50 kNw=20 kNmLAB=1.50 mLBC=2.50 m To find: (1) Deflection at A. (2)…

Q: For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at…

Q: Evaluate the bending moment diagram for the continuous beam in Figure below using the flexibility…

A: To determine:Bending moment diagram

Q: Given a cantilever beam of length L=3.7meters. The left support “A” is free while the right end “B”…

Q: Problem 4 ust. The beam shown below is subjected to the load shown in the figure. Use the…

Q: a 2P B E FIGURE Q1 C a

Q: 2. A simply supported beam is loaded as shown in the figure. Using Moment-Area Method determine the…

Q: supports

Q: For the load beam shown derive the equation of the beam deflection y(x) along the beam. EI is…

A: The following figure shows the Free Body Diagram of the beam. Adopt the Slope Defection Method for…

Q: 15 KN 1.10 kN/m B 2EI El 2 m 2m 2m

A: The given information in the question is We have to calculate the Slope at A Slope at B…

Q: Determine the midspan value of Ely for the beam loaded as shown in the figure. Use the Double…

A: Free body diagram - Force in the vertical direction - ∑MA = 0⇒RA + RB - 300×2 = 0⇒RA + RB = 600KN…

Q: A 240mm diameter circular simply supported beam carries a concentrated load, uniformly distributed…

A: The question is based on the simply supported beam subjected to uniform, varying, and point load.…

Q: mine: e beam deflection at point A. e beam deflection at point B. me MA= 250 kip-ft, P – 29 kips,…

Q: For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at…

A: Given:- E=113000 kip-ft2wo=2.0 kips/ftLAB=15 ftLBC=8 ft To find:- Slope at B Deflection at B

Q: A cantilever beam, with a cross-section of an equilateral triangle with side 320mm, carries a…

Q: Consider the frame shown in (Figure 1). Suppose that P = 5.5 k and P = 11 k. Each column has the…

Q: Analyze the beam shown in Figure using flexibility method of analysis. Take EI as constant.

A: Let support reaction at B and C be the RB & RC be redundant Calculate the deflection at B and C…

Q: 12. Consider an elastic straight beam of length L = 10n m, with square cross-section of side a = 5…

Q: A Determine the slope and the displacement at the end C of the beam. E = 200 GPa, I = 70(106) mmª. a…

A: Given data P = 54 KN a = 2m E = 200 GPA = 2 × 105 N/mm2 I = 70 × 106 mm4 Find slope and…

Q: Problem 1) A simply supported beam is loaded as shown in Figure 1-A. Use E = 40 MPa and I = 5 x 10⁶…

A: E = 40 MPa I = 5 × 106 mm4 Determine the deflection at point-B.

Q: 1 2 E1,A1 L1= 1.50m F2 E2, A2 L2=2.0m 3 F3 E3, A3 L3= 2.80m 4

Q: consider yhe beam shown in figure 1. El is constant Use the conjugate-beam method. Suppose thag M=…

A: Figure is as shown

Q: Moment-Area Method A simply supported beam is loaded with a concentrated load and a uniformly…

Q: A cantilever beam AB with a circular cross section and length L =750 mm supports a load P =800 N…

Q: The structure shown in Figure is subjected by a force P = 253 N at central point. Determine the…

A: Introduction : The vertical response at the wall of a cantilever beam equals the shear force. The…

Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

Simply supported beam with varying load shown in figure by using finite
difference method and a step size of h=0.251L,EI d*y/dx* =p
2p
For i = 2, the equation is

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

The structure shown in Figure is subjected by a force P =253 N at central point. Determine the absolute vertical reaction force at A. Solve the problem by assigning 100 beam elements along the path AB. Consider, elastic modulus E = 200 GPa, poisson's ratio v = 0.3, radius R = 500 mm. The ring has a circular cross sectional area with diameter of 10 mm. (The answer unit should be in N). Acceptable error: 4% 1A Yanıt:
For the plane truss shown, determine the nodal displacements and member force of the diagonal members. E169 GPa. Cross-sectional areas are 300 mm? for diagonal members and 400 mm? for the rests. Diagonal member is subjected to a temperature increase of 40°C while diagonal D is in fabrication error of 6 mm too short. B=14.6x10*PC. You can use EXCEL or your matrix calculator in determining the nodal displacements. 60 KN KN +75 KN 4 m Ad 3m
consider yhe beam shown in figure 1. El is constant Use the conjugate-beam method. Suppose thag M= 24k•ft and El is in k•ft^2 a) determine the slope at C measured counterclokwise from the positive x axis b) determine the displacement at C measured upward answer in k•ft^2/El please 6k M A C B 4 ft 6 ft
12. Consider an elastic straight beam of length L = 10t m, with square cross-section of side L = 10n m, with square cross-section of sid. %3D a = 5 mm, and Young's modulus E = 200 a = GPa. This straight beam was bent in such a way that the two ends meet, to form a circle of mean radius R. Assuming that Euler. Bernoulli beam theory is applicable to this bending problem, the maximum tensile bending stress in the bent beam is MPa. R L Ends of the beam
Here is the follow up,
Truss problems
Analyze the beam shown in Figure using flexibility method of analysis. Take EI as constant.
Derive the flexibility matrix of the plane beam shown in figure with respect to the degrees of freedom shown. Take El = constant. %3D 1
A cantilever beam, with a cross-section of an equilateral triangle with side 320mm, carries a concentrated load and uniformly distributed load as shown in the figure. Using Area Moment Method, Solve the following unknowns. Let P = 200KN, a = 1.2m, b = 4m and the modulus of elasticity of beam is 120GP.. NOTE: WRONG SIGN IS WRONG. WRONG UNITS IS WRONG. B A a b If the moment at a point 4m from the free end is equal to -2280KN-m, determine the value of "w". kN/m Determine the maximum defiection of the beam. (Note: Put a negative sign if the defiection is going down| Determine the deflection at point 4m from the free end. (Note: Put a negative sign if the deflection is going down)
Consider: a beam made of isotropic material, and itscross-section area is A throughout the entire beam.The beam has a Young’s modulus E. The beam isattached to a roller support (the length/size of thissupport is negligible) at x=0.Calculate the total elongation when the beam issubjected to a leftward concentrated force F atx=3L and a rightward force 3F at x=5L.
Please solve part A
Please do not copy any answers, they are incorrect.