Question

Problem 1 (25 Marks) (a) Derive the equations for slope and deflection of a cantilever beam under point and uniformly distributed load (shown in Fig. 1(a) and (b)) using statics and double integration method. [10 points] (b) Determine the expression for the maximum deflections developed at the free end. [10 points] (c) If the beams are made from ASTM -60 Gray Cast Iron having the rectangular hollow cross section (shown in Fig.1 (c)) with l = 5 m. Find the forces, F and w, required to cause a displacement of 10 mm at the free end. Hint: use properties of Cast Iron given in table A-24 of the textbook. [5 points]

          Problem 1 (25 Marks)
(a) Derive the equations for slope and deflection of a cantilever beam under point and uniformly distributed load (shown in Fig. 1(a) and (b)) using statics and double integration method. [10 points]
(b) Determine the expression for the maximum deflections developed at the free end. [10 points]
(c) If the beams are made from ASTM -60 Gray Cast Iron having the rectangular hollow cross section (shown in Fig.1 (c)) with l = 5 m. Find the forces, F and w, required to cause a displacement of 10 mm at the free end. Hint: use properties of Cast Iron given in table A-24 of the textbook. [5 points]

Problem 1 (25 Marks)
(a) Derive the equations for slope and deflection of a cantilever beam under point and uniformly distributed load (shown in Fig. 1(a) and (b)) using statics and double integration method. [10 points]
(b) Determine the expression for the maximum deflections developed at the free end. [10 points]
(c) If the beams are made from ASTM -60 Gray Cast Iron having the rectangular hollow cross section (shown in Fig.1 (c)) with l = 5 m. Find the forces, F and w, required to cause a displacement of 10 mm at the free end. Hint: use properties of Cast Iron given in table A-24 of the textbook. [5 points]

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