Find the dimensions of the element shown in the image below, if the force P=37 kN, and the allowable stress values are: \( k_r=120 MPa, k_t=70 MPa, k_d=180 MPa\)

To determine the dimensions d, g1, g2, and b for a threaded connection subjected to a tensile force P = 60 kN, assuming the following data: kt = 84 MPa, kr = 120 MPa, and pdop = 160 MPa. Create longitudinal force diagrams.

Data: \(P=60 kN, k_t=84 MPa, k_r=140 MPa, p_{dop}=160 MPa\)

Check if the load capacity condition is met for M12 class 4.6 bolts in the connection as shown in the figure below, loaded with a force of F=15 kN.

Two angle bars with dimensions 90x90x9 (area A = 15.5 cm^2) should be attached with fillet welds of thickness a = 5mm, spaced in a way that ensures the axial transfer of force N = 660kN. Assume the allowable shear stress for the weld kt = 172MPa and the allowable tensile stress kr = 215 MPa.

Three steel flat bars of equal width b=100mm and thicknesses g2=2g1=8mm are connected using epoxy adhesive. Calculate the necessary length of the adhesive l, so that the connection has a strength not less than the strength of the flat bars. Assume a yield strength kr=160MPa for the material of the flat bars and kt=6MPa for the adhesive.

Parts with the shape shown in the picture are cut with a press. Calculate the force exerted by the stamp if the allowable shear stress of the sheet material is ts = 300MPa, and the thickness of the sheet is t = 5mm.

Check the strength of the stretched key connection under the force P=8kN, assuming the following data:

D=26mm d=12mm b=4mm h=10mm for the rod krp=125MPa, for the sleeve krl=90MPa, for the key k=90MPa, and for the PDOP=220MPa.

Calculate the diameter of the rivets securing the bracket to the steel plate. The joint is subjected to a force P=30kN. The allowable shear stress is kt=70MPa.