ME$361$: Design of Machine Components

Fall $(2024)$

Problem $1(20$ points$)$

A gusset plate is welded to a base plate, which is secured to a foundation using four bolts, with a diameter of $d_b=\frac{3}{8}in.$ Before applying the external force of $F=1000lb{b}_f,$ the bolts were torqued to develop a preload with a tensile force of $P_b=5000lb{b}_f$ per bolt. Assume the gusset plate is rigid and rotates about corner A$.$ Determine the following:

tensile load in each bolt due to the applied force $F$

tightening torque for reused and lubricated bolts, given $k=0\mathrm{.}18$

identify the bolt experiencing maximum normal and shear stresses.

based on your answer to $(3),$ calculate:

i$.$ axial and shear loads on the critical bolt.

ii$.$ maximum principal tensile stress and maximum shear stress.

Solution: