A simply supported beam ABCD is subjected to a uniform distributed load along AB and CD as shown in Figure Q2. The properties of the beam are: E = 70 GPa and INA = 30x10^6 mm4. (a) Determine the deflection of the beam at point B.

A solid structure of rectangular cross-section is simply supported, as shown in Figure Q2. The structure is made from steel with Youngs Modulus of 200GPa and is loaded by a centrally applied force, F. Using Castigliano's theorem, for the system: a) Identify and label all reaction loads, b) State the expressions for the bending moments for each section with respect to the integration length coordinate, c) Calculate the vertical deflection at Point B. d) Briefly describe how you would solve the problem, if the structure was built-in at the left hand side and simply supported on the right hand side. A 0.5 m B F = 2kN IC 2m D Figure Q2: Structure schematic and cross-section 100 mm 100 mm

From the same problem could you please help me answer D, E and F

A steel beam ABC carries a uniformly distributed load of w (kN/m) over the unsupported length BC, as shown in Figure Q3(a). The beam has a wide-flange section shown in Figure Q3(b) and designated as W610 x 82 with geometrical properties as shown in Table 1. Assuming that the beam behaves as elastic-perfectly plastic material with a yield strength of 210 MPa; (a) Draw the moment diagram of the beam and indicate the section that carries the maximum bending moment. (b) Knowing the shape factor of the beam, k = 1.15 calculate the magnitude of wp (kN/m) for the condition of plastic collapse/hinge. (c) Determine the yielded length, L, (m) along the beam where the section has experienced yielding corresponding to the plastic collapse condition (part (b)). W (kN/m) -10 m (a) (b) Figure Q3 Table 1 Wide-Flange Sections or W Shapes SI Units Flange X-x axis y-y axis Web Area Depth thickness width thickness Designation A tw by mm x kg/m mm? 10° mm 10 mm 10° mm 10 mm mm mm mm mm mm mm W610 x 155 19…