2 thumbs up if u get it right make sure ur units for final answer match questionsUse Castigliano's theorem to determine the magnitude of deflection at midspan for the solid steel shaft shown in the figure, where a =3 in, b= 7 in, da = 1.125 in, db = 1.875 in, and w=160 lbf/in.daa →dbWbAThe magnitude of deflection at the mid-span of the beam is 0.016265 * in.6. Simple supports-intermediate loada+·1FBdabсR₂xR₁ =VAB = R₁MAB =YAB =Fb1Увс =Fbx1Fbx6EI1FaR₂ =1VBC-R₂FaMBC= -(1-x)1; (x² + b² −1²)Fa (1-x)6EI1-(x² + a² - 21x)Page 1032

Use Castigliano's theorem to determine the magnitude of deflection at midspan for the solid steel shaft shown in the figure, where a = 3 in, b= 7 in, da = 1.125 in, db=1.875 in, and w=160 lbf/in. da a d₂ W b a da The magnitude of deflection at the mid-span of the beam is 0.016265 in.

Use Castigliano's theorem to determine the magnitude of deflection at midspan for the solid steel shaft shown in the figure, where a = 3 in, b= 7 in, da = 1.125 in, db=1.875 in, and w=160 lbf/in. da a d₂ W b a da The magnitude of deflection at the mid-span of the beam is 0.016265 in.

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 2 kN/m 1.5 m X B 1.5 m * 3 kN m 1.5 m Figure 1. Beam ABC and its loads. 1.5 m E 200 GPa and I = 55…

A: The modulus of elasticity is The moment of inertia is

Q: Question 2 A beam ABC of length 3m has one support at the left end and the other support at a…

Q: A cantilever beam is subjected to a distributed load given by w(x) = x² – 2x + 3 N/m (x is in…

Q: For the beam illustrated in the figure, find the locations and magnitudes of the maximum tensile…

Q: 2. The simply supported beam shown in the figure consists of a W410x60 structural steel wide-flange…

A: A moment is a movement of the body when a body is rotating on an axis. The moment is also known as…

Q: The cantilever shown in the figure consists of two structural-steel channels size 3 in., 5.0 lbf/ft.…

A: Given data: wc = 5.0 lbf/ft for 2 channels Assuming, size, d = 3 in Force, F = 145 lbf L = 53 in w =…

Q: For the simply supported beam carrying the concentrated load P = 268 N at its midspan, determine the…

A: Use simply support beam concept to solve this problem, Given information Total length of…

Q: Use Castigliano's theorem to determine the magnitude of deflection at midspan for the solid steel…

A: The deflection at the mid-span. Given: The length of the sections are a=3 in and b=7 in. The…

Q: .beam, simply supported at its ends, carries a load which increases uniformly from 15kN/m at the…

A: The product of the moment of inertia and youngs modulus,

Q: The figure shows a cantilever consisting of steel angles size 100 x 100 x 12 mm mounted back to…

A: given data; ⇒w=1KN/mF=2.5KN⇒OA=2m⇒OB=3m⇒AB=1m

Q: A cantilevered bar in the figure is acted up on by a system of forces Fx 75 lb, Fy = 200 lb, and Fz…

A: according to the given details

Q: For the beam illustrated in the figure, find the locations and magnitudes of the maximum tensile…

A: Given: a = 5 in b= 15 in c= 0.8 in h= 1.8 in F1 = 2900 lbf F2= 1000 lbf

Q: A horizontal cantilever beam of circular cross-section, length 1.0 m and flexural rigidity El = 200…

Q: Use Castigliano's theorem to determine the magnitude of deflection at midspan for the solid steel…

A: The dimensions are a=3 in, b=7 in, da=1.125 in, db=1.875 in The distributed load is w=160 lb/in…

Q: The magnitude of the vertical deflection of the free end is

A: Given data; Figure shown having following data;Length,l=1.0 m Flexural regidity EI=200 N.m2 Applied…

Q: Consider the beam shown in (Eigure 1). Take P= 3 kip and w=1.3 kip/ft. Point E is just to the right…

A: According to the given data A loading beam ABC is provided We need to find Normal force at point D…

Q: Part A A simply supported shaft is shown in the figure below. Assume the following data: a = 16 in,…

Q: Consider the beam with properties and loadings as described in the figure and parameter table.…

Q: 1. The cantilever beam shown in the following figure is subjected to a load P or a deflection & at…

A: Cantilever beam length (L): 14 inchesLoad at the free end (P): 6 lbfYoung's Modulus (E): 30 10^6…

Q: Consider the uniformly loaded (w= 100 lbf/in) and simply supported steel beam with an overhang, as…

A: Given data: w=100 lbf/inL=8 ina=6 in area moment of inertia of the beam =0.05 in4

Q: A simply supported beam is shown in the figure. El = 56,000 kN-m2. Using Double tion Method…

Q: A rectangular steel bar supports the two overhanging loads shown in the figure. Using superposition,…

A: Given DataF=500Nb=9mma=250mml=500mmh=35mm

Q: For the beam shown, use only singularity functions. V₁ = 45 lbf/in and V/₂ = 5 in. NOTE: This is a…

Q: 5. For the beam shown in the figure, determine the slope at A and B and the value of the maximum…

A: Whenever a beam is subjected to load it tends to bend under loading. This is called deflection of…

Q: A For the RIGID beam shown, find the :deflection at point B 50 kN B C 2m 3m ID 3m No deflection O…

Q: The cantilever shown in the figure consits of two structrual steel channels size 4 in. 5.4 lbf/ft.…

Q: Find the deflection at the mid-point BC of the loaded beam as shown in the figure by the double…

Q: Using superposition, find the deflection of the steel shaft at A in the figure. Find the deflection…

A: To find:The deflection of the steel shaft at AThe deflection at the mid spanthe percentage…

Q: Determine the deflection of the beam at right end? For the beam shown in figure. If the modulus of…

Q: The beam AB, shown in Figure 1a, with length L = 4.5 m is subjected to a uniform distributed load w…

A: A beam is defined as a structural member subjected to transverse shear load during its…

Q: For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment…

Q: Determine the deflection at midspan for the beam of Problem 4–69 using Castigliano's theorem.…

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: Given

VIEW

Step 2: Calculation :

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 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

A simply supported beam is shown in the figure. EI = 56,000 kN-m2. Using Double Integration Method determine the following: A. Determine the slope at point B. Express your answer in degrees. B. Determine the deflection at point C. Express your answer in millimeters. c. Determine the maximum deflection of the beam. Express your answer in millimeters. 30 kN 10 kN/m A VB D 3 m 1.5 m 1.5 m 6 m
0.002898 is wrong and the answer seen in the question i tried is also wrong :( please do if u know what ur doing
pls box ur answer and label it :) Use Castigliano's theorem to determine the magnitude of deflection at midspan for the solid steel shaft shown in the figure, where a = 3 in, b= 7 in, da = 1.125 in, db = 1.875 in, and w=160 lbf/in. da ka db W f da The magnitude of deflection at the mid-span of the beam is 0.00228 in. 5
The simply supported W8X24 A-36 steel beam AB is loaded as shown in the figure. What is the slope of point B in radians if w = 5.7 kip/ft, L 16.5 ft, Mo = 6.2 kip-ft? Note: Your answer should include units and be to 4 decimal places. Mo Aरू 늘 -
For the vertical rod as shown, find the deflection at A and the stress distribution. Use E-100 MPa and weight per unit volume equal to 0.06 N/cm3. (Hint: Introduce weight contribution to the nodal loads and solve using two elements and four elements.) Comment on the stress distribution. a) Use 2 & 4 elements with linear shape functions. b) Use 2 elements with quadratic shape functions. 1.6m C A -Area - 2500 cm² 8 Area - 1500 cm²
The W250x22 cantilevered beam is made of A-36 steel and is subjected to the loading shown below. Suppose that P1-40kN and P2-12 kN. B P₁ 2 m- B A -2 m- a) Determine the displacement at B. Express answer to three significant figures and include appropriate units. Positive value if the deflection is upward and the negative value is if the deflection is downward. b) Determine the slope at B Express answer in radians to three significant figures. Positive value if the slope is counterclockwise and the negative value if the slope is clockwise.
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. 0 1400 lbf Hinge JA B₁ C R₂ R₁ 4 in 4 in 2 in V1 V2 D R₂ + What is the value of the peak moment between points Cand D? The peak moment between points C and Dis Ibf.in.
box ur anser dont cop from another post
4) Find the deflection midway between the supports. 4 kN/m 5 kN 1m 2 kN.m 2m 2m 2m 2m 5 mm E=200 GPA 20 mm 50 mm Beam Cross-Section Ra=2.61kn Rb=14.39kn Solve it by using singularity functions
Use Castigliano's theorem to determine the deflection of point B in the direction of the force FB = 14 lbf for the steel bar (E = 31.8x106 psi, G = 12.5x106 psi) shown with dimensions of d = 0.5 inch, LOA = 14.2 inch, and Lab = 6.8 inch. Enter answer in units of inches and round to 3 decimal places. d LOA FB LAB
W= 3kN/m M=3kNm
Solve it correctly please l will rate accordingly.