Question from Subject Mechanics of Deformable Solids.
Extracted text: 1. An initially perfectly straight uniform strut of length I is hinged at both ends and carries an axial load P. At the same time it is subjected to transverse loading which varies uniformly from zero at one end to maximum intensity of w/unit run at the other end. Prove that bending moment at a distance x from the end where transverse load is zero is w sin px р2 'sin pl PX – ), where p² = P/EI M If the length of strut is 1.5 m and axial load P = 23 kN with w = 2.5 kN/m, calculate maximum bending moment. Take I = 2 x 10 mm“ and depth of symmetric section in the direction of loading is 12.5 mm. Also, take Young's modulus E = 200 kN/mm².