Question: 8 Messages HMWK 9.3 Problem 3 Consider the beam assembly shown below. Two horizonal beam member 4-B and B-D are connected by a double shear
8 Messages HMWK 9.3 Problem 3 Consider the beam assembly shown below. Two horizonal beam member 4-B and B-D are connected by a double shear pi Note that points 4 and D are a simple roller and pinned supports, respectively. A beam E-F with length Ler is parallel to 4-D and fixed onto a wall at F An axial member C-E with length Lce is perpendicular to 4-D and joined to other beam members by single shear pins at C and E. The two members between A-D are loaded by a uniformly distributed load q, Assume that all pins are frictionless. Figure 3. Beam assembly (a) Draw the shear and bending moment diagrams between 4 and D. (b) If shear stresses in the pins cannot exceed tyiaa, find the minimum diameters of pins at B and C. Use a factor of safety FS () Find the maximum bending stress in the member E-F and draw the corresponding strain and stress distributions at the cross section where the maximum bending stress occurs, assuming the member has the cross-section shown in (i). (d) Repeat part (c) but assuming the member has the cross-section shown in (ii) Hint: An example of what a strain distribution looks like for bending is Ax Normal strain distribution Fig. 6-22 Take E = 200 GPa for all beam members and q = 8kN/m. Take Leg = 2 m, Lcg = 2mandd=3m. Take Tyieid = 55 MPa and FS = 2.5 and a = 1.5 cm. Question 44 0.5 pts Find the shape of the moment diagram for region 2. (x
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