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4. Figure 4 shows a simply supported beam. The beam supports three loads of given magnitude...
The simply supported beam shown in Figure 1 is pin-supported at A and roller-supported at D. la) Replace the distributed loads in Figure 1 by an equivalent resultant force and locate its location with respect to A. {2 + 3 marks 1b) Calculate the reactions at supports A and D. {2 marks 1c) Calculate the shear force and bending moment at point C. {4 marks) 15 kN/m 6 kN/m D B q 3.0 m 3.0 m 3.0 m Figure 1
4) A 100 foot long simply-supported bridge girder supports the unfactored loads shown in the figure. The uniformly distributed dead load, wD, includes the self weight of the girder, and is constant along the full beam length. Concentrated live loads, PL, are applied as shown in the figure. a) Draw factored shear force and factored bending moment diagrams in the spaces provided. Show magnitudes at locations A, B, C, D and E on each diagram.(8) PL = 50k PL-50k WD-2.5...
Figure 1 shows a simply supported beam with load P applied at point C and D. If P = 40 kN, L= 3 m and a = 1 m, (a) draw the free-body diagram of the beam; (b) determine the support reaction forces at A and B; (c) determine the shear force and moment in AC, CD and DB sections; (d) draw the shear and moment diagrams of the beam. P P A B D X a a L
Figure 2 shows a simply supported beam and the cross section at mid span. The beam supports a uniform service (unfactored) dead load consisting of its own weight plus 1.4 kips/ft and a uniform service (unfactored) live load of 1.5 kips/ft. The concrete strength is 3500 psi, and the yield strength of the reinforcement is 60,000 psi. The concrete is normal-weight concrete. For the midspan section shown in Figure 2, compute фМп and show that it exceeds Mu. WD 1.4...
A simply supported beam (B-2) supports a uniformly distributed
load and is braced at five-foot intervals in addition to a
composite slab that is secured to the compression flange of the
beam via shear studs. Assume that the beam is made of ASTM A992
grade with Fy = 50 ksi.
Select the lightest W shape to safely support the following
loads:
DL = 225 psf LL = 150 psf
Beams are spaced at 10' o.c.
8.25*: A simply supported beam...
4. Figure 4 shows a beam with three supports at A, B and D. The
beam also has a pin connection at C. Draw the shear force diagram
and bending moment diagram of the beam. Calculate the maximum
bending stress and maximum shear stress of the beam.
200 mm 5 kN 3 kN/m 30 mm - 25 mm N IITIT 250 mm 3m — 3 m +1.5 m +1.5 m1 30 mm 100 mm Cross-section of beam Figure 4
Question 2 Simply supported beam ABC is subject to a point load and the patch loads as indicated in Figure Q2. Assume the beam has a uniform cross-section size. The Modulus of Elasticity E = 210x106 kN/m2, second moment of area l=5x105 m. Determine the deflection of beam ABC at the middle point using MacCaulay's Method. Total (15) marks. -30 KN -6 kN/m -3 kN/m B 3 m 4 m * Figure Q2: Simply supported beam ABC
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4. A simply supported beam is given below. A movable (crane) concentrated load of 50kips may be placed anywhere along the span, in addition to a uniform live load of 2 kips/ft. Select a W-section for the beam if lateral support is provided only at the beam supports. Hint: make use of influence lines to determine where to place the live loads. You may ignore beam self weight. Steel is A992. 30'
Q2(c) Figure Q1(c) shows a simply supported beam ABCD loaded as shown. The beam is pin-supported at D, while point B is roller-supported. Determine the support reactions. b) For span BC (2<x< 4) write down the x-dependent equation for moment. x should be measured from cnd A. Plot the shear force diagram and the bending moment diagram for the beam. Show all important values of the diagrams. d) Plot the deflected shape of the beam. c) 50KN 40kN/m 25kNm 20kN/m...
*P8.028 (GO Tutorial) A simply supported wood beam (Figure A) with a span of 1. may be carried by the beam. 5.5 m supports a uniformly distributed load of - The beam width is 100 mm and the heam height is R 250 mm (Figure 1). The allowable banding stress of the wood is 7.5 MPn. Calculate the magnitude of the maximum load in that WO FIGURE A FIGUREB Nim W the tolerance / 19% Question Allempts: 0 of 5...