Determine the maximum tensile stress σt , maximum compressive stress σc, and maximum shear stress τmax in the wall of the cylinder

A train is parked on a steel bridge as shown in the figure below. The steel bridge is simply supported by a pin support at point A and a roller support at point B. The bridge has a modulus of E0=200 GPa, 2nd moment of area Iz=1.5 m^4 and length L=200m. The train has a weight of W=2000000N and the same length as the bridge. Use the SI Unit for calculation. a) Determine the intensity of the uniformly distributed load: f= b) Write the mathematical expression for the two quantities below, in terms of parameters ?, ??, ?0, ? and ?. Determine the elastic curve formula for the deflection of the bridge.  v= determine the slope formula for the bridge under the applied loading dv/dx=

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A thin-walled cylindrical pressure vessel of inner radius r = 0.6 cm and a thickness of 0.06 cm is subjected simultaneously to internal gas pressure p = 3.5 MPa, a compressive force F = 800 N acting at the ends, and a torsional load of 25 N · m (see figure). Determine the following quantities (a) the principal stresses at a point H on the surface of the vessel and the absolute maximum shear stress; (b) the normal strain along x-axis (ɛx) and the shear strain (yxy) at the same point H. See the established Oxy coordinate system. The Young's modulus of the material is 200 GPa and the Poisson's ratio is 0.3. Hint: the cross-section of the vessel can be regarded as a hollow tube and the cross-section area can be calculated as 1(0.00662 – 0.006²). You can do the same treatment for the polar moment inertia. 25 N· m F F H X 25 N· m