Calculation Example – Critical load.
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 pinsupported column, determine the critical load.
Calculation Example – Minimum allowable Diameter.
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.
Calculation Example – Member Diagram.
Determine the diagrams for moment and shear for the following pinned at two ends beam. Total length 9m. EI constant. Units KN,m.
Calculation Example – Maximum Deflection
Determine the equation of the elastic curve for the beam using the x coordinate. Specify maximum deflection. EI is constant.
Calculation Example – Rod loading
Calculate the internal normal forces at points A,B,C for the rod which is loaded with the forces shown.
Calculation Example – Cantilever Beam with point loads.
Calculation Example – Cantilever Beam with uniform loading.
Calculation Example – Reinforced Concrete Column at Stress.
A rectangular column (400mmX400mm) is constructed of concrete and four steel reinforcing rebars. An axial force of 1000KN is subjected on the column. What is the diameter of the steel bars if the ¼ of the load is transferred to the steel bars and ¾ is transferred to the concrete? ( EST=200GPa, Ec=25GPa)
Calculation Example – Torsional momentStress.
Calculate the max stress because of torsional moment on the outer layer of a steel hollow rod when two forces act on it from a distance of 100mm from the center.
Calculation Example – Calculate tension force using virtual work.
Calculate tension force F_AC in cable AC using virtual work for the weight of 10 KN. (The equilibrium is at φ=45 degrees)
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