14.12 The cantilevered beam shown in the accompanying figure is used to support a load acting on a balcony. The deflection of the centerline of the beam is given by the following equation: -wx? y = -(x²-4Lx+6L) 24 EI where y = deflection at a given x location (m) w = distributed load (N/m) (m) E = modulus of elasticity (N/m²) I = second moment of area (m*) X = distance from the support as shown (x) L = length of the beam (m) ELA maldor Problem 14.12 Using Excel, plot the deflection of a beam whose length is 5 m with the modulus of elasticity of E =200 GPa and I=99.1×106 mm4. The beam is designed to carry a load of 10,000 N/m. What is the maximum deflection of the beam? r sis-

14.12 The cantilevered beam shown in the accompanying figure is used to support a load acting on a balcony. The deflection of the centerline of the beam is given by the following equation: -wx? y = -(x²-4Lx+6L) 24 EI where y = deflection at a given x location (m) w = distributed load (N/m) (m) E = modulus of elasticity (N/m²) I = second moment of area (m*) X = distance from the support as shown (x) L = length of the beam (m) ELA maldor Problem 14.12 Using Excel, plot the deflection of a beam whose length is 5 m with the modulus of elasticity of E =200 GPa and I=99.1×106 mm4. The beam is designed to carry a load of 10,000 N/m. What is the maximum deflection of the beam? r sis-

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

Compute the initial deflection of the beam at midspan under service loads with the following specifications: f'c = 4000 psi, 36-inch height, depth of rebar assumed to be 3 inches less than the height, 16-inch width, 4 #9 bars (tension), Grade 60 rebar, 30' clear spans, service loads of: DL = 0.25k/ft, LL = 1.2k/ft. The DL does NOT include self-weight of the beam or of the precast concrete deck planks that have a weight of 60 PSF. The beam picks up a tributary width of 12 feet. Also, note that this beam is continuous and is the middle beam of 5 equal spans. Check the initial deflections against the ACI deflection requirements. Then calculate the long-term deflections and check those against the ACI requirements. For both situations, assume that finish materials will be attached to the beam. Last: Instead of performing a structural analysis to determine the maximum deflection in the beam, conservatively figure that the maximum deflection will be 60% of what it would have been for a…
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 and loading shown, determine the deflection and slope of the beam at the mid span. Let w = 12 kips/ft and use E = 29 x 106 psi. Be very careful with units.
Using Castigliano's method, determine the deflection and slope at point A for the beam shown below.
A simply supported beam is subjected to a uniform service dead load of 1.2 kips/ft (including the weight of the beam), a uniform service live load of 1.8 kips/ft. The beam is 40 feet long, and it has continuous lateral support. If A992 steel is used, and the live load deflection must not exceed L/360, Is a W30 x 99 adequate? (for moment, shear, and deflection).
A cantilever beam having a span L of 6.0 m carries a concentrated load P=71kN, at midspan, E = 200,000 N/mm2 and Ixx = 60 x 106 mm4. Compute the end of the slope at the end of the beam using moment-area method. Show complete solution.
Determine the minimum required width b for the beam and loading shown. For wood, σem =16, τem =38 (l=1, m=8, n=16, a=20, Fb=160, Fc=38)
Find the value of the maximum deflection of each beam.
Determine the reactions and draw the shear and bending moment diagrams for the four-span continuous beam shown in Fig. 15.11(a).
Q26 A Cantilever beam of dimension 12 m x 40 mm x 60 mm. It carries a uniformly distributed load of 550 kN/m for entire span. Determine (a) Maximum stress due to bending and (b) Young's modulus of the material used for the beam, if it deflects 3.5 m maximum at the free end of the span. Also find the maximum slope of the beam.
Draw the shear and bending moment diagrams and the qualitative deflected shape for the beam shown
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.