a) Using Macauley's Method, calculate a general expression in terms of Young's Modulus, E, and Second Moment of Area, I, for the deflection in the beam shown in Fig. 4.1. R₁ 300N 0.4m 0.4m 200N/m 0.4m Figure 4.1 If the beam in part a) has the cross-sectional profile as shown below and a Young's Modulus, E, of 70GN/m², calculate the magnitude of the deflection at 1.1m from the left hand side. 55 25Nm 0.4m 15 A 10 R₂ 0.4m 40 Figure 4.2 (All dimensions in mm, wall thickness is 5mm) What is the value of stress at point A in Fig. 4.2 at a point 1.1m from the left hand side of the beam?

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Loads and Reactive Forces

Loads are the external influences that a beam experiences under its working conditions. For instance, a beam may be subjected to shear loads, twisting loads, bending moment, and axial loads during its working conditions. Engineers primarily deal with beams and trusses in the civil engineering domain. Due to the influence of loads, it is very crucial to determine the induced stresses and deformation values. These values give an insight into the critical area of the beam that needs to be worked upon to make it fail-safe.