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Find the maximum moment of the above beam which is subjected to triangular vertical load. SOLUTION: ΣΜΒ = 0 → ΑΥ –(1/2)ql(l/3)=0 → ΑΥ = (1/6)ql ΣFY = 0 → ql/6 + BΥ –(1/2)ql=0 → BΥ = (1/3)ql Assum...

Read MoreConsider a universal column 200mm x 200mm with a flange thickness of 10mm and web thickness of 7mm. The height of the column, which is fixed in concrete at its base, is 10m and the load is applied...

Read MoreA simply supported beam (Figure) with a span of L=20ft is subjected to a uniform service load of 1200 lb/ft, including self weight, and a live load of 900 lb/ft. Determine the maximum factored...

Read MoreFor the simply supported beam of Figure 1, determine the uniformly distributed load, q, at which the flexural crack forms. The beam has a length L=7m, and f’c=25Mpa. Figure 1: Cross-section of Con...

Read MoreCalculate the vertical deflection of the beam (magnitude and direction) at the midpoint of the central span (point A) Solution Use virtual work method: Virtual Structure From Equilibrium: Shea...

Read MoreTruss and cable elements are defined by their ability to carry solely axial loads. Nonetheless, since cables have no stiffness when loaded in compression, they function only in tension. Moreover,...

Read MoreBased on Figure 1, we get: where: In matrix form, the above can be re-written as: Example Figure 2: Two Springs in Series - Example Calculate k1, δ2, and f3. Solution Ba...

Read MoreThe rod of the picture is loaded with the force 2P which is uniformly distributed on Section D where applied. If the material of the rod is homogenous with Elastic Modulus E find the variation in len...

Read MoreCalculate the maximum allowable shear force Vmax for the girder. The welded steel girder is having the cross section shown in the figure. It is fabricated of two 500 mm x 50 mm flange plates and a 50...

Read MoreA pressure-vessel head is fabricated by gluing the circular plate to the end of the vessel. If the vessel sustains an internal pressure of 500 kPa, determine the average shear stress in the glue. S...

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