A cantilever has a distributed load: q(L, qo, x) = qocos- 2L The dead weight of...

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A cantilever has a distributed load: q(L, qo, x) = qocos- 2L The dead weight of the beam is not considered. a) By integrating solve the symbolic expressions (with the constants of integration C, C, C3 and C4) for the shear force Q(x), the bending moment M(x), the angle of twist p(x) and deflection v(x). (2 p) b) Write the boundary conditions. (1 p) c) Solve the constants of integration symbolically. (1 p) d) Calculate the value of the deflection at the free end of the cantilever when length of the cantilever L = 4 m, modulus of elasticity E= 33000 MN/m, second moment of area | = 0.002 m and line load q = 350 kN/m. (1 p). q(x) L y A partial answer: C4 = -16qoL4/ X A cantilever has a distributed load: q(L, qo, x) = qocos- 2L The dead weight of the beam is not considered. a) By integrating solve the symbolic expressions (with the constants of integration C, C, C3 and C4) for the shear force Q(x), the bending moment M(x), the angle of twist p(x) and deflection v(x). (2 p) b) Write the boundary conditions. (1 p) c) Solve the constants of integration symbolically. (1 p) d) Calculate the value of the deflection at the free end of the cantilever when length of the cantilever L = 4 m, modulus of elasticity E= 33000 MN/m, second moment of area | = 0.002 m and line load q = 350 kN/m. (1 p). q(x) L y A partial answer: C4 = -16qoL4/ X