ng shown, determine the beam deflection at point B. Assume P = 85 kN, M P Mc C В LAB LBC

The simply supported beam consists of a W24 × 94 structural steel wide-flange shape [E = 29,000 ksi; I = 2,700 in.4]. For the loading shown, determine the beam deflection at point C.Assume P = 39 kips, w = 2.7 kips/ft, LAB = 13 ft, LBC = LCD = 7 ft.

Problem 2 A loaded cantilever beam is shown. E=29,000 ksi. The W16 section that will limit the total load deflection at the free end of the beam, B to 0.75 in. is most nearly: WD = 0.5 k/ft WL = 1.0 k/ft PD= 2 k B PL = 4 k Answer: W16 x L = 12 ft %3D

In the following beam with the working section shown is subjected to the indicated loads and supported as shown, determine the magnitude of the twist BA and the deflection YC in the middle. Consider E = 70 GPa, A = 7.5 x 10-3 m2, IZ = 61.3 x 10-6 m4, IY = 23.2 x 10-6 m4 Develop by: 1) Double integration method 10 kN 2) Overlay Method 3) Moment area method 4m 4 m develop: a) Problem approach and solution sequence b) Free body diagram c) Calculation of intermediate and constant forces d) Bending moment diagram e) Application of equations and associated tables Caniatidado AM 141do earde tier ade

The simply supported beam consists of a W460 x 82 structural steel wide-flange shape [E = 200 GPa; I = 370 x 106 mm*). For the loading shown, determine the beam deflection vc at point C. Assume P = 56 kN, w = 22 kN/m, Lag = Lsc= 2.9 m, Lco = 2.9 m. LAB LBC LCD Answer: Vc= mm.

Determine the minimum width "b" of the beam shown if the flexural stress is not to exceed 13 MPa. Answer must be in mm. Given: a = 1 m, b = 3 m, c = 2 m, P = 6 kN, and w = 3 kN/m. P kN cm w kN/m (not scaled) 250 mm am b m b. R1 R2

Helps*

Q. A simply supported beam is carrying a uniformly distributed and a gradient distributed loads as shown in Figure 1. Given that the maximum shearing stress is 270 MPa, determine the value of w. o kN/m |C -1.7m --1.7m 3.2m 170 mm Romm 37mm - 37 mm Figure 1

Q3 A compound beam consists of a standard I section 402 mm deep and 181 mm wide with a steel plate 200 x 25 mm deep welded to each flange. Given that the beam is simply supported over a length of 7 m, Ixx for the standard I section alone is 210.12 x 10°mm* and the maximum allowable bending stress is given in the table below, then: Allowable value of bending stress | 350 N/mm? (i) Sketch the cross section and calculate the second moment of area (Ixx) for the compound section. (ii) Calculate the maximum uniformly distributed load (UDL) the beam can carry if the flange plates extend over the whole 7 m span. (iii) Calculate the minimum central length over which the additional flange plates are required.

The simply supported beam consists of a W530 × 66 structural steel wide-flange shape [E = 200 GPa; I = 351 × 106 mm4]. Assume w = 45 kN/m, L1 = 2.6 m, and L2 = 2.6 m. For the loading shown, determine:(a) the beam deflection at point B.(b) the beam deflection at point D. Part 6 Determine the component of the beam deflection at point D produced by the component of the rotation angle of the beam at point C due to only the portion of the uniformly distributed load w between the supports at point A and point C.Answer: vD1 =          mm. Part 7 Determine the component of the beam rotation angle at point C due to the moment produced at point C by the portion of the uniformly distributed load w between point C and point D.Answer: θC2=          rad.   Part 8 Determine the component of the beam deflection at point D due to the moment produced at point C by the portion of the uniformly distributed load w between point C and point D.Answer: vD2 =…