1. In figure (1), shows a uniform beam subjected to a linear increasing distributed load. The equation for the resulting elastic curve is: w y = 120EIL (-x5+2L²x3 - L*x) Using the numerical methods to determine the point of max. deflection (that is, the value of x where "Y-0. Then substitute dx this value in the given equation to find the value of maximum deflection. Using the following parameter values in your computations: L = 600cm; E50000 k N/cm2;I= 30000cmt and w =2.5 k N/cm. (a) r=Ly- 0) =0, v= 0) (b) Figure (1)

1. In figure (1), shows a uniform beam subjected to a linear increasing distributed load. The equation for the resulting elastic curve is: w y = 120EIL (-x5+2L²x3 - L*x) Using the numerical methods to determine the point of max. deflection (that is, the value of x where "Y-0. Then substitute dx this value in the given equation to find the value of maximum deflection. Using the following parameter values in your computations: L = 600cm; E50000 k N/cm2;I= 30000cmt and w =2.5 k N/cm. (a) r=Ly- 0) =0, v= 0) (b) Figure (1)

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

Related questions

Q: A propped cantilever beam is loaded by a bending moment of the magnitude MB at the point B as shown…

Q: Question 4: Use the moment-area method to determine the slope and deflection at point B for the…

Q: The basic differential equation of the elastic curve for a simply supported, uniformly loaded beam…

A: Differential equation is:where:

Q: For the same beam and loading case in Figure Q1, which of the following best describes the…

A: For the given cantilever, with UDL, different methods of calculating the beam deflection in vertical…

Q: Consider the candlevered W14 x 30 beam shown in (Egure 1). E=29(10³) ksi, I-291 in Figure 369 Part A…

A: Given: w=3 kip/ft E=29 (103) ksi I = 291 in4

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

Q: Question 3 For the beam loaded and supported as shown in Figure below, determine the deflection of…

Q: (b) Using the provided data: cross-section width w = 16 mm, cross-section hight h = 62 mm, length of…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

Q: Part C-Maximum deflection What is the maximum deflection of the beam? Express your answer in terms…

A: For the solution refer below images.

Q: A built-in cantilever beam with a hollow rectangular cross-section is subjected to a uniformly…

A: Boundary conditions will use in beam problem to find the integration constant while finding…

Q: The diver has a mass of 75 kg and is standing motionless at the end of a diving board shown in…

A: Given data, Mass of the driver, m = 75 kg So, weight of the driver is W=mgW=75×9.81W=735.75 N Young…

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 uniform beam of negligible weight supports two loads as shown in Fig. 1- What is the value of the…

Q: Which equation from the superposition table would provide the deflection at A? 6 ft H 2.5 kips/ft 9…

A: Given Data:w=2.5 kips/ftL=15 ft

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

Q: onsider the beam shown in (Figure 1). Suppose that 740 N/m ure 3m Part A Determine they component…

A: The uniform distributed load on the beamw=740 N/m

Q: What is the tensile strength? Given: Material: aluminum Beam length: 9.75in Beam width: .4155in…

A: Given data as per question

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

1. In figure (1), shows a uniform beam subjected to a linear increasing distributed load. The equation for the resulting elastic
curve is:
w
y =
120EIL
(-x5+2L?x3 - L*x)
Using the numerical methods to determine the point of max. deflection (that is, the value of x where "Y 0. Then substitute
dx
this value in the given equation to find the value of maximum deflection. Using the following parameter values in your
computations:
L = 600cm; E50000 k N/cm2;1=30000cm* and w =2.5k N/cm.
(a)
r Ly 0)
=0, v- 0)
(b)
Figure (1)

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 Deriving maximum deflection equation

VIEW

Step 2 Calculation of maximum deflection

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

Consider the beam with properties and loadings as described in the figure and parameter table. Use superposition to find the angles of deflection at A and C (in degrees). M neo 0A = A 0c= 7////////// CC 2022 Cathy Zupke parameter L W BY NC SA Alloy Beam Type value 6 50 65 A992 Steel W310 x 67 O B O units W m kN/m kN m . C
Problem 1: (Please solve parts A and B of problem) A) A uniformly distributed load is subjected on the clamped-clamped beam and it is supported by a spring in the middle of the beam. Using Castigliano’s theorem, find the deflection in the spring. (Please use only Castigliano’s theorem to solve this part) B) Remove the spring in part A and use the Rayleigh-Ritz method to solve for the deflection at the middle of the beam. Assume that v(x) = C (1- Cos((2Pi*x)/L)) (Please use only Rayleigh-Ritz method for this part)
A) Calculate the stress in each link when a force of 600 lbs is applied to the rigid element AF, employing manual calculations and finite element methods. B) Determine the corresponding deflection at point A, manually applying the finite element penalty method to model and solve the constraints effectively. Available Data: The links BC and DE are made of steel. Each link has dimensions of 1/2 inch in width and 1/4 inch in thickness. Modulus of elasticity (E): 29 x 10^6 psi. Instructions: For this problem, manual calculation is crucial. Utilize the finite element method with the penalty approach to handle boundary conditions and constraints effectively. This method involves incorporating penalty factors into the system equations to enforce the constraints strictly.
A 0.5kg weight is hung from the end of a cantilever beam, causing a vertical displacement of y = -0.01 inches relative to no load. The weight is increased to 1.0kg. What is the new displacement relative to no load? Typed and correct answer please. I ll rate
Using FE formulation (based on FE element matrices via hand calculations), find the displacement and rotations at the two ends where the diameter changes from 1.5 to 2.0 inches. Provide full stiffness and global matrix.
please read the questıon and slove it again properly.
and y vs. y (phase plot) 4. Consider the deflection v of the beam to the right. The beam is supported at each end and sags due to its own weight (a distributed load q = 50 kN/m). The equation describing the deflection is d'u qx (x- L) dx 2EI where L=5.0 m, I = 0.0052 m* and E = 1.0x1010 Pa. Use the method of your choosing (shooting or finite differences) to solve for: 1) the slope at each end of the beam; 2) the maximum deflection; and 3) the location of maximum deflection.
Materials 2 Time: 40 Minutes Q1) The figure shows a simply supported beam with overhang portion, carrying loads under different points. Using Macaulay's methods to determine the slope and deflection at points: A, B and at 1m from the left hand end of the beam. Take EI=0.65 MN/m². 20 kN 20 kN 30 kN/m B -0.6m. 1.2 m. 1.2 m. Ra 8 A
Please show work for part B of the question shown below. Thank you!!
The cantilever is subjected to a point force "P" in the middle of the beam span. The beam's modulus of elasticity, E-200 GPa and moment of inertia, l= 6x10^6 mm^4, are the same at every point. Accordingly, in which option is the maximum deflection (vertical displacement) in the beam given in "mm"? P= 12 kN, L= 2.8 m.
Needs Complete typed solution with 100 % accuracy.
Derive the weak form of the problem. Pay attention to the treatment of boundary conditions and body loads.