Tutorial 4 - Me 202 - Iit Bombay

ME 202 - Tutorial 4 Shear Center and Torsion in Thin Walled Beams Q1. The slit cylindrical tube of figure 1 has mean radius 𝑎 and wall thickness 𝑡. Find the distribution of shear stress in the section, when the beam is loaded by a vertical shear force 𝑉! . Compare the solution with that of a closed circle. Q2. The unsymmetrical square box section of figure 2 transmits a vertical shear force 𝑉! whose line of action passes through the middle of the thicker left-hand section as shown. Find the maximum shear stress in the section. Q3. Find the shear flow in the cross-section shown in Figure 3, if a net torque T is acting on the section. The radius of the wheel is R. Find the angle of twist if the shear modulus is G GPa. Q4. Find the shear flow, shear stress and shear center for the problem shown in Figure 4.



Figure 1

Figure 2



Figure 3