Problem 1 the steel beam has the cross-sectional area shown

Question

Problem 1: The Steel beam has the cross-sectional area shown and the steel has elastic constant of E = 210 GPa, v = 0.3. The thickness of vertical wall is 6 mm and those for horizontal are 4 mm. For the flange,b1 = 60 mm and b2 = 120 mm. the height of the cross section counting from the mid planes of the flanges is 200 mm. determine:

a. The largest intensity of distributed load w_o that it can support so that the maximum bending stress in the beam does not exceed σ_max = 135 MPa.

b. The value and locations of maximum and minimum bending stresses subjected to such a distributed load w_o.

c. The maximum transverse shear force and maximum shear stress subjected to such a distributed w_o and

d. The location of the shear centre e.

Answer 1

By using the mechanics principles, consider the following case situation and provide answer for the given. Question: The Steel beam consists of the cross-sectional area illustrated and the steel consists of the elastic constant of E = 210 GPa, v = 0.3. The thickness of vertical wall is 6 mm and such for horizontal are 4 mm. For the flange, b1 = 60 mm and b2 = 120 mm. the height of cross part counting from the mid planes of the flanges is 200 mm. Find out: 1) The maximum intensity of distributed load wo which it can support in such a way that the maximum bending stress in the beam doesn’t surpass smax = 135 MPa. 2) The value and locations of maximum-minimum bending stresses subjected to such a distributed load wo. 3) The maximum transverse shear force and maximum shear stress subjected to such a distributed wo 4) The location of the shear centre ‘e’.