PROBLEM 9.9 Knowing that beam AB is a W130x23.8 rolled shape and that P= 50 kN, L=1.25 m, and E = 200 GPa, determine (a) the slope at A, (b) the deflection at C. L/2 L2 [x=0, y=0] [x = L, y=0] L dy = ) 2' dx

PROBLEM 9.9 Knowing that beam AB is a W130x23.8 rolled shape and that P= 50 kN, L=1.25 m, and E = 200 GPa, determine (a) the slope at A, (b) the deflection at C. L/2 L2 [x=0, y=0] [x = L, y=0] L dy = ) 2' dx

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: 2. A beam is loaded and supported as shown below. (a) Using the coordinate system shown, determine…

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

Q: The strut on the utility pole supports the cable having a weight of P = 300 lb. (Figure 1) Figure…

A: Given:The weight is .Free body diagram: The triangle is obtained by multiplying by 2 for…

Q: downward deflection is in. I

A: Given-Information:- E = 1.67 × 106psih = 5.5 inchAB = 1.75 ftBC = 1.75 ftCD = 3.5 ft To-Determine:-…

Q: consider the cantilevered W14 x 30 beam shown E = 29(103) ksi, I = 291 in4 determine the expression…

A: Free body diagram of the cantilever beam is.

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: M O the bending moment is zero O the shear force is zero

A: Given

Q: Assume the support at B is a roller. Point C is located just to the right of the F = 13-kip load.…

A: FBD of above diag

Q: 265 Ib/ft 3.7'1 7.9' -3.7'-

A: Calculate the reaction at the support, RA+RB=265×11.612RA+RB=256.16 ......... (1)Taking moment…

Q: The simply supported beam shown consists of a W410 × 60 structural steel wide-flange shape [E = 200…

A: Write the formula for displacement at B due to the concentrated point load.…

Q: The beam has the cross-sectional area shown in (Figure 1). Figure 1 of 1 Part A Determine the…

Q: 1) Knowing that the beam is a rolled steel profile W 200 x 46.1 and that P = 30 KN, L = 1.2m and E=…

A: The given information in the problem is shown in the following attached image:

Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

A: Bending moments experimentally determined are -395 N-m at Aand -215 N-m at C. Uniformly distributed…

Q: Member end shears and moments for drawing V and M diagrams (designer's sign convection):

A: There is an internal hinge at 4. So, we can split the given beam into two parts. One is left part of…

Q: determine the deflection at B in mm using Conjugate Beam Method. Consider 150 mm x 200 (b x h) mm…

A: The values are a=2.5 m, b=27.3 kN/m, c=23 kN E=80 GPa, b=150 mm, h=200 mm

Q: M= 2. A beam of length 10 m and of uniform rectangular section is supported at its ends and carries…

A: Given:The length of the beam, The maximum permissible bending stress, The maximum central…

Q: Beam ABC is subjected to the loading shown, where PB = 75.0 kN. The measurement corresponding to the…

A: To findDraw a free-body diagram.Determine the maximum shear force in beam ABC.GivenLoad, Length,

Q: Find the maximum bending moments in the X and Y directions. Given: depth, h=152mm

A: The specification of the I section of the beam is given. But the length of the beam, strength and…

Q: 1 20 For the beam shown; 1. Determine the equations of slope and deflection. 2. Determine the slope…

Q: Use the conjugate beam method to determine the magnitude of the deflection at C (in feet). Assume A…

A: The values are P=20 kips, w=1.8 kips/ft. EI=78750 k-in2

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

PROBLEM 9.9
Knowing that beam AB is a W130x23.8 rolled shape and that
L P=50 kN, L=1.25 m, and E = 200 GPa, determine (a) the slope
at A, (b) the deflection at C.
W
-L/2 L/2
[x=0, y=0]
[x= L, y=0]
L dy
2' dx
O = 2.77x103 rad
Yc = 1.156 mm,

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 17 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

! Required information For the beam shown, use only singularity functions. V₁ = 50 lbf/in and V/₂ = 14 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 LA B AC R₂ R₁ 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 Dis Ibf.in.
Determine from the beam and the loads shown: Reactions on supports Shear force diagram Bending moment diagram The neutral axis The moment of inertia The first moment of area Consider a section located 1100 mm from point A. Determine: The maximum normal stress of the section The maximum shear stress of the section Deflection The slope
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments along with their respective locations. Additionally: Let a = 3.1 m, b = 5.9 m, w = 34 kN/m, P = 48 kN, Q = 34 kN, and Mc = 155 kN-m. Construct the shear-force and bending-moment diagrams P A В E Mc a b a а Determine the shear force acting at each of the following locations: (a)x = 3.1 – m (i.e., just to the left of support B) (b) x = 3.1 + m (i.e., just to the right of support B) (c)x = 12.1 – m (i.e., just to the left of support D) (d) x = 12.1 + m (i.e., just to the right of support D)
q6
27. A simply supported beam is loaded as shown. Consider left of an exploratory section between B and C, what are the shear and moment equations? 16 KN 12 KN 0000 2m 4 m C) VBC =-5 (kN) A) VBC = -5 M BO MB = -5x-64 (kN-m) == BC BC B) VBC = -5 D) VBC = -5 (kN) MB (kN-m) == BC (KN) (kN-m) (kN) -5x +48 (kN-m) -5x+64 2m MBC = 5x-64
Which of the following moments of inertia should be used in calculating the largest force P that the beam can carry? L = 1.0 m; σem = 140 MPa; τem = 70 MPa
Draw diagrams of shear force and bending moment for beam and loading shown. Calculate the maximum tensile and compressive stresses in the beam. X=407 N/m Y=2.21 m Z=51,4 mm
1) Figure 1 shows a fixed end beam with various loads on it. section A-A/B-B/C-C B. section A-A 100mm section C-C 300mm 100mm moment around y- axis 4N.m 150mm dia = 25mm 100mm 200mm section B-B 3000N 4000N 100mm 2000N moment around X-axis 4NLm 1000N Figure 1 a) Determine the combined loadings and draw them on a volume element: Section A-A, Point A on the cross section CS Scanned with CamScanner
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.
Part A The built-up beam in (Figure 1) is subjected to an internal moment of M = 50 kN · m Determine the amount of this internal moment resisted by plate A. Express your answer to three significant figures and include appropriate units. НА ? ха х.10п Figure < 1 of 1 M= 32.9466 KN • m 150 mm 9 The unit you entered is not recognized. Review a list of acceptable units. No credit lost. Try again. 20 mm 150 mm 150 mm 10 mm Submit Previous Answers Request Answer M Provide Feedback 10 mm 300 mm
Problem 2 Moment-Area Method: For the given beam below, answer the questions. El = constant: 5 kN 8 kN-m A В 6 m 6 m 6 m (b) (c) | Draw the Curvature Diagram of the beam. Mark all important values. Determine the slope at point A, 64, using the moment-area method. | Determine the deflection at point B, Ag, using the moment-area method.
Hi please present the solution clearly (preferabely on paper) with all steps so it is easier to understand since I have asked this question multiple times and I still don't get it. Thank you!