a) If the beam is subjected to a simple compressive load of 25 kN in Y direction along its I- cross section. Calculate the resulting compressive stress,.. b) Calculate the magnitude of the second moment of area of the cross section about the axis that passes through the centroid... If the compressive load is removed, and the beam is put into pure bending about the yaxis by a moment of 20 kNm with the upper flange going into tension. Calculate the maximum tensile and compressive stresses,.. c) d) If the beam is now subject to both the bending and compressive loads simultaneously, calculate the new maximum tensile and compressive stresses and the location of the neutral axis,..

1. 2. 10 mm 10 mm 3. 5 mm 100 mm A beam section as shown in the sketch is subjected to a bendingmoment of Mx = 4 kN.m and a shear force of V = 2.5KN. 50 mm 100 mm Calculate the position of the centroid and the the second moment of area of the section about the sentroid horizontally. Draw the bending stress distribution through the height of the beam by calculating the bending stress at the critical positions Draw the shear stress distribution trough the height of the beam by calculating the shear stress below the flanges and at the centroid. 4. Draw the stress condition below the flanges, at the centroid and at the top and bottom of the beam.(7) 5. Draw the shearflow through the section. Show calculations

5. A beam with the cross-sectional shape shown below is to carry a bending moment of +12 in *kip around the centroid z axis. [Answer: centroid 0.94353" from bottom, 1 = 0.5876 in4, o, = 22.6 ksi Compression] a. Find the centroid and moment of inertia of the beam around the centroid z-axis. b. Find the bending stress at points A, B, C and D on the cross-section. 0.38 in 1.1 in J0.57 in y 0.38 in 1.82 in C B A Tö 0.38 in

The prismatic beam with the asymmetric section shown below is subjected to a linearlyvarying transverse load pz = po [1 - (x/L)], which passes through its shear center. The wallthickness t is assumed to be small in comparison to the other dimensions. i) Find the centroid of this cross-section.ii) Find the principal axes y’ and z’ of the cross-section.iii) Calculate (in terms of given loads and geometric dimensions) the shear flow due to bending at sectionx = 0 and plot the results.iv) Find the maximum shear stress tauxs and maximum normal stress tauxx in the beam. Please show all work!!