The simply supported beam consists of a W14 x 34 structural steel wide-flange shape [E = 29,000 ksi; I = 340 in."). For the loading shown, use discontinuity functions to compute (a) the slope of the beam at E and (b) the deflection of the beam at C. Assume wo = 10 kips/ft, wCD = 7.0 kips/ft, LAB = 7.0 ft, LBc = 7.0 ft, LCD=9.5 ft, LoDE = 4 ft. Wo WCD B C LAB LBC LCD LDE Answer: (a) BE = rad (b) vc = in.

The simply supported beam consists of a W14 x 34 structural steel wide-flange shape [E = 29,000 ksi; I = 340 in."). For the loading shown, use discontinuity functions to compute (a) the slope of the beam at E and (b) the deflection of the beam at C. Assume wo = 10 kips/ft, wCD = 7.0 kips/ft, LAB = 7.0 ft, LBc = 7.0 ft, LCD=9.5 ft, LoDE = 4 ft. Wo WCD B C LAB LBC LCD LDE Answer: (a) BE = rad (b) vc = 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

Similar questions

The simply supported beam consists of a W14 x 34 structural steel wide-flange shape [E = 29,000 ksi; 1= 340 in.4]. For the loading shown, use discontinuity functions to compute (a) the slope of the beam at E and (b) the deflection of the beam at C. Assume wo = 13 kips/ft, WcD = 6.0 kips/ft, LAB = 6.0 ft, LBc = 6.0 ft, LCD = 7.0 ft, LDE = 3 ft. Lus Part 1 Answer: By = i Wo B LAB + LBC kips Ey = i C WCD LCD D LDE Calculate the reaction forces at the supports. Upward forces are positive. E X
The simply supported beam consists of a W14 × 34 structural steel wide-flange shape [E = 29,000 ksi; I = 340 in.4]. For the loading shown, use discontinuity functions to compute (a) the slope of the beam at E and (b) the deflection of the beam at C. Assume w0 = 13 kips/ft, wCD = 3.0 kips/ft, LAB = 9.0 ft, LBC = 9.0 ft, LCD = 10.5 ft, LDE = 5 ft.
The simply supported beam consists of a W14 x 34 structural steel wide-flange shape [E = 29,000 ksi; / = 340 in.4]. For the loading shown, use discontinuity functions to compute (a) the slope of the bearn at E and (b) the deflection of the beam at C. Assume wo = 12 kips/ft, wcD = 4.0 kips/ft, LAB= 8.0 ft. LBc= 8.0 ft. Lco - 11.0 ft. LDE = 4 ft. Answer: (a) 8E= (b) vc= B LAB Wo LBC C rad in. WCD LCD D LDE E X
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.
For the beam shown below, given that L = 10 m, and w= 14 kN/m, E = 200 x 103 MPa, W410 x 100. Please calculate the max deflection of the beam at the center under the uniformly distributed load: mm. Calculate your solution to 1 decimal place.
For the beam and loading shown, use discontinuity functions to compute: (a) the deflection VA of the beam at A, and (b) the deflection Vmidspan of the beam at midspan (i.e., x = 2.45 m). Assume a constant value of El = 1270 kN-m² for the beam; M₁ = 9 kN-m, wo = 19.8 kN/m, LAB = 1.1 m, LBc = 2.7 m. MA A Answer: (a) VA = (b) Vmid i LAB i Wo B LBC mm. mm.
The cantilever beam consists of a W530 × 74 structural steel wide-flange shape [E = 200 GPa; I = 410 × 106 mm4]. Use discontinuity functions to compute the deflection vC of the beam at C for the loading shown.Assume LAB = 3.3 m, LBC = 1.7 m, P = 48 kN, w = 28 kN/m.
please translate the following problem descriptions into al diagrammatic representation, solve for/draw the shear force and bending moment diagrams and find the deflection and/or slope as indicated: 3. A 16 ft. long simply supported beam is loaded by a 1 k/ft uniform distributed load for the first 6 ft. and (2) point loads, 3 kips each, at 9 ft. and 12 ft. A Structural No. 1 timber (E = 1,600,000 psi) is specified with nominal dimensions of 6x12. Find the magnitude and location of the maximum deflection.
L by the double integeration method. E = 200 GPa , I = 20 X10ʻmm“, and L = 3.0 m._Extra points will be added if you also model it using RISA-2D software. Send me the model file, the deflected shape in a PDF file Compute the values of slope and deflection for the beam shown below at x = with the maximum deflection values, and a screenshot (image) for the deflection value at the pointL shown on the deflected shape. 350 KN/m 70 KN/m 400 KN.m
The cantilever beam consists of a rectangular structural steel tube shape [E = 27000 ksi; / = 450 in.4]. For the loading shown, determine: (a) the beam deflection vg at point B. (b) the beam deflection vc at point C. Assume P = 10.9 kips, w = 2.9 kips/ft, LAB= 7.6 ft, LBc = 4.6 ft. "I W ↓↓ B LAB in. A Answers: (a) vg= -0.6016 (b) vc= i -1.2143 in. LBC
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.
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