P5.19 The rigid beam in Figure P5.19 is supported by links (1) and (2), which are made from a polymer material [E = 16 GPa]. Link (1) has a cross-sectional area of 400 mm and link (2) has a cross-sectional area of 800 mm. Detemine the maximum load P that may by applied if the deflection of the rigid beam is not to exceed 20 mm at point C. (2) 1,250 mm Rigid beam 600 mm 300 mm 1,000 mm (1)

Learning Goal: To determine an I-beam's maximum bending moment, moment of inertia using the parallel-axis theorem, and the maximum stress at a given location using the flexure formula. As shown, I-beam ABC supports a sign that weighs S = 30 lb . The I-beam is 24 in. long and is further supported by a rod that is attached 18 in. from the wall. Assume that all forces acting on the I-beam act along its centroid and that the I-beam's weight is negligible. Let the dimensions of the I-beam be w = 4 in., g = 0.8 in., h = 2.9 in., j = 1 in., c = 6 in. c A ·a b B Part A - Free-body diagram of beam ABC S C H j- W h Before the problem can be analyzed, a free-body diagram must be drawn to understand the forces and reactions that act on the I-beam. Draw the free-body diagram of beam ABC. A free-body diagram includes the forces acting on the object, in this case the beam. Start your vectors at the black dots. You will not be graded on vector length. Ignore all reaction forces in the x direction, and…

mhm 4.31 System for Exercise 4.24 (left) and Exercise 4.25 (right). m, the force required to deflect the end, as is illustrated in Figure 4.32 is In Chapter 11 we are much smarter and are able to show that for a cantilever ЗЕЛ L3 X, 4.32 Cantilever beam subjected to a at the end. F = ere E is the modulus of elasticity, which is a property of the material used, I is area moment of inertia of the cross-section of the beam, and L is the length. If a mass m,is attached to the end of the beam, what is the equation of motion the vertical motion of the beam? If the length is doubled, what is the change in quency of the free vibration of the beam? =kX 2 Guieds x=0 F-XX F x = L Fig. 4.33 Rotatin 4.28. Referring the end of a ca elasticity of the length is L = 1 1. Determine t 2. Determine t @= 1000 r 4.29. Determin 1. On the sam 2. Identify the the part you

ard and has been opened read-only to prevent modification. Enable Editing is one of the fundamental ering. A cantilever beam is other. In Fig. 3.35, the fixed Fig, 3.37. The beam is mounted to the wall at point A, the dentified as points A and C, ds to the center of gravity of Search Highlight Problem 3.9 Consider the L-shaped beam illustrated in P Export PDF arm AB extends in the z direction, and the arm BC extends in the x direction. A force F is applied in the z direction at Adobe Export PDF Convert PDF Files to Word or Excel Online the free-end of the beam. en has a weight W = 100 N (a) If the lengths of ams AB and BC are a and b, respectively, vith magnitude F = 150 N is cam in a direction that makes zontal. d direction of the net moment and the magnitude of the applied force is F, observe that the position vector of point C relative to point A can be written as r= bi+ ak and the force vector can be expressed as F = Fk, where i,j, and k are unit vectors indicating positive x, y,…