The following diagrams show a fully fixed cantilever beam subjected to different loading cases. For each loading case calculate the value of the internal shear force (V) and bending moment (M) at points A and B. Ensure that you adopt the positive sign convention for internal forces for all questions. Given: a = 0.5 m b = 0.1 m F₁ = 800 KN F₂ = 915 KN M₁ = 450 kNm

For the overhang beam shown below, (a) draw the free body diagram of the beam, (b) draw the shear and moment diagrams, (c) find moment of inertia of its cross-section, (d) determine the maximum bending stress. (e) indicate the stress components on an infinitesimal volume element (3D stress element) located at the point. Neglect the weight of the beam. 8 kN/m 2 cm em A C 25 em B 4 m 2 m 2 cm 20 cm

Pravinbhai

]: A horizontal beam with a length of 4.5 m is subjected to the shown loading. The forces are vertical and the couple moment is applied at point D. The figure is not to scale. 3 kN/ m 1 kN/ m 3 kNm A В C D E 1 т 1.5 m 0.5m 1.5m 0.6 KN 1.35KN (a) Motivate with substantiating explanations and clear and applicable calculations why the beam is in equilibrium. (b) Draw the shear force and bending moment diagrams for the beam. Calculate all local maxima and minima, zeros and points where the diagrams change shape, and show these values and points on the diagrams.