Consider the beam assembly shown below Two horizonal beam

Last updated: 11/12/2023

Consider the beam assembly shown below Two horizonal beam member A B and B D are connected by a double shear pin at B Note that points A and D are a simple roller and pinned supports respectively A 1 8m long beam E F is parallel to A D and fixed onto a wall at F A 2m long axial member C E is perpendicular to A 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 5 kN m Assume that all pins are frictionless Take E 200 GPa for all beam members a a cross section i A 2 m 5 kN m B E C 1 m 1 m Figure 3 Beam assembly A a F D a Draw the shear and ending moment diagrams between A and D b Draw the shear and bending moment diagrams between E and F a If shear stresses in the pins cannot exceed Tyield 40 MPa find the minimum diameters of pins at B and C Use F S 2 5 c 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 i If the member E F has a 10cm tall and 5cm wide rectangular cross section as shown in inset i ii If the member E F has a 5cm radius circular cross section as shown in inset ii