A simple beam pinned at two ends is loaded as shown in the figure. Calculate the required section modulus S if σallow =1500 ΚΝ/m2, L =24 m, P =2000 KN, and q = 400 KN/m.

The friction coefficient is c1=0.2 between two bodies A,B. The friction coefficient is c2=0.18 between body B and the ground. If mass mA=0.5kgr and mB=1kgr , what is the minimum force P so that the two bodies start sliding?(we consider that there is no friction at the rope).

A single point with mass m is vibrating harmonically. The displacement x from point of balance is governed by the differential equation

A single point with mass m is vibrating harmonically. The displacement x from point of balance is governed by the differential equation

A solid rod has a diameter of 20 mm and is 600 mm long. It is made of a material that can be modeled by the stress–strain diagram shown in the figure below. If it is used as a pin-supported column, determine the critical load.

Determine the minimum diameter of the rod. The axial tensile force is P=10KN. The allowable stresses in tension and shear is 100MPa and 40MPa.

Determine the diagrams for moment and shear for the following pinned at two ends beam. Total length 9m. EI constant. Units KN,m.