Solve the problem using Moment -Area Method Problem IV. Determine the support reactions of the beam shown. El is constant for the entire beam. 40kN/m 20kN/m A B + 4m 4m
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- A frame ABCD is constructed of steel wide-flange members (W8 x 21; E = 30 x ID6 psi) and subjected to triangularly distributed loads of maximum intensity q0acting along the vertical members (see figure). The distance between supports is L = 20 ft and the height of the frame is h = 4 ft. The members are rigidly connected at B and C. Calculate the intensity of load q0 required to produce a maximum bending moment of 80 kip-in. in the horizontal member BC. If the load q0 is reduced to one-half of the value calculated in part (a), what is the maximum bending moment in member BC? What is the ratio of this moment to the moment of 80 kip-in. in part (a)?Determine the magnitude of the moment MC for the cantilever beam, where P = 37 kips, w = 7 kips/ft, L1 = 3ft and L2 = 7ft.Determine the maximum allowable intensity w of the uniform distributed load that can be applied to the beam. Assume w passes through the centroid of the beam’s cross-sectional area, and the beam is simply supported at A and B. The allowable bending stress is sallow = 165 MPa.
- The cross-sectional dimensions of the beam are a = 4.8 in, b = 6.5 in, d=4.5 in, and t= 0.30 in. The internal bending moment about the z centroidal axis is Mz= -3.90 kip-ft. Answers both in psiQ1/ A beam of uniform section with rigidly fixed ends which are at the same level has an effective span of 10 m. It carries loads of 30 kN and 50 kN at 3 m and 6 m respectively from the left-hand end. Find the vertical reactions and the fixing moments at each end of the beam. Determine the bending moments at the two points of loading.A simply supported beam of span 3.0 m has a cross-section 120 mm × 180 mm. If the permissible stress in the material of the beam is 10N/mm2,determine(i)maximum udl it can carry (ii) maximum concentrated load at a point 1 m from support it cancarry. Neglect moment due to self weight.
- The propped cantilever beam is a W150 x 1 steel section. Determine (a) the reaction at B; and (b) the displacement at A.The cantilevered beam is subjected to a couple of moment M0 applied at its end. Determine the slope of the beam at B. EI is constant. Use the method of virtual work.The horizontal beam is assumed to be rigid while supporting the distributed load. Determine the angle of inclination of the beam after the load is applied. Each support consists of a wooden post with a diameter of 120 mm and an original length (unloaded) of 1.40 m- Consider E = 12 GPa
- The wide-flange member is made from an elastic perfectly plastic material. Determine the shape factor for the beam.Draw the shear stress diagram and bending moment diagram for a beam with the free body diagram shown below. Identify the location of critical point(s) in the beam. Given AB = 0.5 m, BC = 0.6 mm, and CD = 0.5 m.Determine the displacement at C and the slope at B. E = 200 GPa, I = 70 (10%) mm "by using the double integration method. 2. the conjugate - beam method.