Determine the mid support deflection and the overhang deflection ifE= 200GPAI= 1350 x10 mmJ5ON100 N /mEI 8 mid span: ?F22El 8 over hang

Free body diagram - Force in the vertical direction - R1 + R2 = 150 + 100×8⇒R1 + R2 = 950 N…

Answered: Determine the mid support deflection…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Determine the nominal moment strengt of the irregular beam shown. Assume the area of 25 mm rebar is 510 sq. mm. Given: a.) fc' = 35 MPa; fy= 413.70 MPa b.) fc' = 21 MPa; fy = 413.70 MPa
The simply supported beam consists of a W14 x 34 structural steel wide-flange shape [E - 29,000 ksi; I - 340 in.*]. For the loadingshown, use discontinuity functions to compute (a) the slope of the beam at E and (b] the deflection of the beam at C. Assume wo - 8kips/ft, WCD - 4.5 kips/ft, LAB - 7.5 ft. Lac - 7.5 ft. LCD - 10.5 ft, LDE - 4 ft.W.CD
Subject: structural theory Have complete solution and figures
a. 45 mm b. 68 mm C. 57 mm d. 17 mm SITUATION 3: A beam has a width of 300 mm and has an LA effective depth of 400 mm and has a modular ratio of 9. It is reinforced by 4-28mm diameter bars. Use WSD: f'c= 20.7 MPa;fy 275 MPa 16. Find the location of the neutral axis measure from the top of the beam. a. 219.78 mm b. 173.26 mm C. 180.22 mm d. 226.74 mm 17. Compute for the moment capacity of the beam considering compression alone. a. 65.8 kN.m b. 85.6 kN.m C. 76.3 kN.m d. 95.8 kN.m 18. Compute for the moment capacity of the beam considering tension alone. a. 116.7 kN.m b. 125.6 kN.m c. 126.3 kN.m d. 115.1 kN.m
Problem 10 (If time permits?) The cantilever truss shown is loaded with two concentrated loads at joints C and E. Determine the vertical deflection of joint G using the method of virtual work. 140k to B A (4 in) C (3 in ²) (4 in²) 16' (4in¹) E (3 in ²) D (4in³) y 20k G 12'
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Design a continuous beam using the given data:. Data: fc' = 25 MPa Main Bars = 25mm fy = 276 MPa Stirrups = 12mm Pu = 25 kN WLL = 15 kN/m Wo 20 kN/m B 3m C 2m 4m 3m D.
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1) Consider the elevation view of an interior beam shown below. The beam has a t-shaped cross- section (the 5 in. thick slab is cast monolithically with the beam - meaning that the 22 in. deep beam has 17 in. hanging below the slab). The c-c length is 30 ft. Assume: M bw = 14 in. fc = 6 ksi Mu,neg. = 340 k.ft en = 28.5 ft Wu h = 22 in. fy = 60 ksi Mu,pos = 230 k.ft Sw = 12 ft - Length hstab = 5 in. No. 4 stirrups Column FL a. Select flexural reinforcement for the beam at midspan assuming it is singly reinforced. T- beams under positive bending are usually singly reinforced because the depth of the neutral axis in the flange is often smaller than the depth of any bars that might be present. Iterate until the design strength, Mn, exceeds M₁ by less than approximately 20%. Provide a drawing of the section design that clearly shows the location of the longitudinal reinforcement. Show the section complies with relevant ACI Building Code requirements (As,min, bar spacing limits, Et, min). b.…
4- For the beam shown in the figure (L=4m, EI=6000kN.m²). Using the differential equation Eld¹y dx4 Wo اللبس L w =90kN/m, and 0 deflection at mid-span by a central finite difference method of O(h²). (4x=L/4) .=Wx' find the

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Determine the mid support deflection and the overhang deflection if E= 200GPA I= 1350 x10° mm 15ON 100 N/m b) F2 EI 8 mid span = ? 2 El 8 over hang