Determine the resultant of the four forces acting on a plate shown in given figure, analytically

This is a much needed Problem, Kindly solve it carefully Include all the steps (diagram, formula)

There is no force on a beam, but the beam is subjected to a very large temperature difference above and below. As shown in the figure below, try to calculate the vertical displacement of the midpoint of the beam, assuming that the temperature coefficient of the entire beam is a = 11.7×10^-6 °F. Tip: See Mechanics of Materials for Beam Deformation Geometry

QUESTION 3 UWE The figure below shows the cross section of unsymmetric Bristol I-beam. The I-beam experiences a maximum M=4 kNm sagging bending moment. And the beam is pulled apart with end-loading forces of 20 kN. Calculate the maximum tensile stress the beam experiences. (State your answer to the nearest whole number Mega-Pascals.) 120 mm 60 mm I 40 mm 30 mm 220 mm 30 mm

The channel shape cross-section and the rectangular cross-section shown in the Figure Q4 are made of materials with elastic-perfectly plastic behaviour. The yield stress of the material used for the channel shape cross-section is y=405 MPa, whereas that used for the rectangular cross- section is 0.850y. Compute the thickness of the web, t, of the channel shape section if the two cross sections have identical plastic bending moment about the z-axis. In Figure 4, h= 74 mm, b=52 mm, a-8 mm, H=74 mm, d= 52 mm Z b h Figure Q4 Z d H

Provide solution and explain also with steps