Consider the multi-span bridge model in the figure below. L₁ L2 L3 L4 L5 L6 H4 H₁ H3 H₂ Draw the most suitable representation of masses for the cases of (i) horizontal motion only, and (ii) horizontal and vertical motion.

Consider the T-beam shown in (Figure 1). Suppose that a = 80 mm, b=160 mm, c = 10 mm. Figure < 1 of 1 Determine y, which locates the centroidal axis x' for the cross-sectional area of the T-beam. Express your answer to three significant figures and include the appropriate units. y = Submit Part B IT' = Submit Part C Value Determine the moment of inertia I. Express your answer to three significant figures and include the appropriate units. Request Answer Iy' = Value Request Answer Units Value Units ? Determine the moment of inertia Iy'. Express your answer to three significant figures and include the appropriate units. Units ? ?

For the shape below, assume the following dimensions: b = 70 mm d = 120 mm t = 6 mm The centroid of this shape is located 87.9 mm above point H shown in the figure. What is the moment of inertia I, about the z centroidal axis for this shape? Answer: Iz= N i mm4

Fjk

Suppose we have a uniform beam that is 2.92 metres long has a flexural rigidity of 30254Nm². N Find the deflection of the beam in millimetres if the beam is under a load of f(x) = 6.88(x + 1.3468)(3.42 — x) and is supported with a fixed support on the left end, and a simple support on the right end. Fill out the table below with your answers. m x-coordinate x = 0.53 x = 1.08 x = 1.37 Deflection (mm) y(x) = y(x) = y(x) = y(x) = y(x) = | Enter as many decimal places as your calculator allows (8 to 10). Your answer must be within +0.0005 of the correct answer to be considered correct. x = 2.16 x = 2.66

PROBLEM A rigid body subjected to 5 forces and a couple (moment) is shown in the figure. Find (a) the single equivalent force couple system at point A, and (b) the single equivalent force. 10 N 20 N 10 N M=70 Nm 2 m A 10 N 2 m 2 m 2 m 2 m 50 N

(Figure 1) Figure 30 mm 140 mm, 30 mm 30 mm 70 mm 30 mm 170 mm 1 of 1 Part A Determine the distance to the centroid C of the beam's cross-sectional area. Express your answer to three significant figures and include the appropriate units. X = Submit Part B Īy = Value μA Submit < Return to Request Answer Compute the moment of inertia Iy about the y' axis. Express your answer to three significant figures and include the appropriate units. Value Request Answer Units ignment Units ? Provide Feedback ?

Case 1: Uniform beam under distributed load. In the shown Figure, a uniform beam subject to a linearly increasing distributed load. The deflection y (m) can be expressed by W. (-x5 + 2L²x³ –- L*x) 120EIL y = Wo Where E is the modulus of elasticity and I is the moment beam Use the following parameters L-600 cm, E=50,000 kN/cm?, l= 30.000 cm“, w.=2.5 kN/cm, to find the requirements ertia (m*), L length (a) (r = L, y = 0) (r = 0, y = 0) (b) Plot the following quantities versus distance along the beam Moment M(x) = Eld²y/dx². Shear V(x) = Eld³y/dx³. Loading w(x) = –Eld*y/dx+.

a) Determine the uniformly distributed load along the beam due to weight of the beam (dead load) b) Determine the reaction the support due to weight of the beam (dead load)

Question 1 A uniform bar of length L, cross-sectional area A, and mass density p is suspended vertically from one end. (a) Show that the elongation of the bar is & = pgl?/(2E) where g is the gravitational acceleration and E is the modulus of elasticity. (b) If the mass of the bar is M, show that 6 = MgL//2EA)