100mm, 10KN/n 200nn In 15n 1.5M in section Fig.3 B. P.
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- A simple beam AB of length L and height h (see figure) is heated in such a manner that the temperature difference 7= T{between the bottom and top of the beam is proportional to the distance from support A: that is, assume the temperature difference varies linearly along the beam: T2- Tt= Tax in which 7"0 is a constant having units of temperature (degrees) per unit distance. Determine the maximum deflection SW9Xof the beam, Repeat for a quadratic temperature variation along the beam, so T2+T1= TaxWhat is the minimum steel shear area (Av in sq.mm.) of a beam 300mm wide if fc'=21MPa and fy=340? let the spacing of stirrups be equal to 220mm Pls hand written solutionPlot the deflection of a beam with a length of 3 m, the modulus of elasticity of E = 200 GPa, and I = 1.2 ✕ 106 mm4 for a sign weighing 1,500 N. Slope at x=L
- A cantilever beam has a length L =12 ft anda rectangular cross section (b = 16 in., h = 24 in.). Alinearly varying distributed load with peak intensityq0 acts on the beam.(a) Find peak intensity q0 if the deflection at joint Bis known to be 0.18 in. Assume that modulusE = 30,000 ksi.(b) Find the location and magnitude of the maximumrotation of the beam.The cantilever is subjected to a point force "P" in the middle of the beam span. The beam's modulus of elasticity, E-200 GPa and moment of inertia, l= 6x10^6 mm^4, are the same at every point. Accordingly, in which option is the maximum deflection (vertical displacement) in the beam given in "mm"? P= 12 kN, L= 2.8 m.Uniformly distributed load on a simple support beam with a length of 6 metersMaximum that occurs on the cross section when q is appliedIf bending stress is 337.5MPa,How many kN/m is the equal distribution load q?(However, the cross section of the beam is wide x height = 40mm x)100 mm.)
- 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.Find the maximum deflection, in inches, for 16ft. long steel beam (E=30x10^6psi) that has 2''x2'' cross section (I= 1.333in^4). The 500lb load is applied at the beam's midpoint.Solve for the deflection of a simply supported beam (b = 60 mm, h = 125 mm, length = 3 m, E = 10 GPa) at x = 1.5 m, with a positive (upwards pointing) uniform distributed load running the whole length of the beam. Also, solve for the slope at x = 1.5 m.
- A cantilever 8m long carries a uniformly distributed load of 12kN/m from midspan to free end. Determine the deflection at the free end, Find the smallest moment of inertia (in x10^6 mm^4) so that its maximum deflection does not exceed the limit of 1/360 of the span. Use E = 70 GPa. Determine the required depth of beam if it is a rectangular section with width-to-depth ratio of 0.5.A SSB of 8 m span carries a point load of 10 kN at its centre. It also subjects to a UDL of 1kN/m over its entire span. Find the maximum deflection of the beam. Take E = 200 kN/mm2,I = 200 x 106mm4.A simply supported beam of length 5m, with a hollow rectangular cross-section outer width of 45mm x outer depth of 90mm and the overall wall thickness of 10 mm which is subjected to a mid-point load of 450 kN, a UDL of 4 kN/m is acting for the entire span. Find the maximum deflection at mid-span and Maximum bending Moment in the beam. Take Young's modulus as 105 GPa.