Consider a simply supported steel beam with maximum moment occurring at midspan. Let the beam be loaded in such a way that it has not formed a plastic hinge at mid span, however, the load has already exceeded the value that initiates yielding in the mean and has caused part of the top and bottom of the midspan section to yield. If the yield strength of the beam is Fy, which of the diagrams from the figure correctly represents the stress in the midspan section of this beam? SIES Fy (A) fy (8) Fy (D)

Please solve the following with step by step solutions so I can understand.

Consider the cross-sectional area shown in (Figure 1). Suppose that h = 90 mm Figure 25 mm---- 50 mm 150 mm ---25 mm 50 mm 25 mm 1 of 1 Part A Determine the location of the centroid for the cross-sectional area. Express your answer to three significant figures and include the appropriate units. ÿ= Value Submit LA Provide Feedback Request Answer Units ?

The deflection of a cantilevered beam where supporting the weight of an advertising sign is given by y = deflection at a given x location (m) W = weight of the sign (N) E = modulus of elasticity (N/m²) I = second moment of area (mª) -Wx? (3L – x) 6EI y = x = distance from the support as shown (m) L = length of the beam (m) Plot the deflection of a beam with a length of 3 m, the modulus of elasticity of E = 200 GPa, and I = 1.2 x 10° mm4 and for a sign weighing 1500 N. What is the slope of the deflection of the beam at the wall (x – 0) and at the end of the beam where it supports the sign (x = L). L Sign Problem 18.5