P5.16 In Figure P5.16, aluminum [E = 70 GPa] links (1) and (2) support rigid beam ABC. Link (1) has a cross-sectional area of 300 mm and link (2) has a cross- sectional area of 450 mm. For an applied load of P = 55 kN, determine the rigid beam deflection at point B. (2) 4,000 mm 2,500 mm 1,400 mm 800 mm FIGURE P5.16

P5.16 In Figure P5.16, aluminum [E = 70 GPa] links (1) and (2) support rigid beam ABC. Link (1) has a cross-sectional area of 300 mm and link (2) has a cross- sectional area of 450 mm. For an applied load of P = 55 kN, determine the rigid beam deflection at point B. (2) 4,000 mm 2,500 mm 1,400 mm 800 mm FIGURE P5.16

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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X N/m A C B Y m - Z m Figure Q2(a) Table 02(a): Parameter Student with EVEN last digits of matric number (AD20xxxZ) Z = 0,2,4,6,8 Parameter 1200 N/m Y 1.2 m Z 0.8 m Q2 (a) The uniformly loaded beam ABC has simple supports at A and B and an overhang BC (see Figure Q2(a)). Values X, Y and Z are given in Table Q2 (a). (i) Determine the support reaction of the beam. (ii) Draw the shear diagram and determine the point on the beam where the zero shear осcurs. (iii) Draw the moment diagram and determine the points where the zero moment occurs.
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The cantilever beam consists of a rectangular structural steel tube shape [E = 28000 ksi; I = 530 in.4]. Use double integration to determine:(a) the beam deflection vB at point B. [ Answer: vB = -.424 in](b) the beam deflection vC at point C. [ Answer: vC = -.894 in]Assume P = 12.9 kips, w = 2.7 kips/ft, LAB = 7.0 ft, LBC = 4.3 ft.
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A wooden beam is loaded by a distributed load 5 N/mm as shown in Figure Q4(a). The cross-section of the beam is shown in Figure Q4(b). Assume that Lan=1700 mm, Lc 3300 mm, W=180 mm, B = 20 mm, and H= 210 mm, hy=20 mm. Units: use N, mm, MPa as consistent units for all calculations. Decimal points: any decimal points are fine and all the numerical questions have a 10% error tolerance. Steps: Fill the gaps in the "steps" to get some marks from the working out process. Adaptive marking is still used. (a) (b) w hol Bo Lục Cross-section Figure Q4: (a) A wooden beam is loaded by a distributed load, (b) cross-section of the beam. Qa a) Determine the 2 moment of area of this cross-section in Figure Q4b)?
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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
A wooden beam is loaded by a distributed load w = 5 N/mm as shown in Figure Q4(a). The cross-section of the beam is shown in Figure Q4(b). Assume that LAB = 1600 mm, LBC = 3400 mm, W=190 mm, Bo = 20 mm, and H = 200 mm, ho=40 mm. Units: use N, mm, MPa as consistent units for all calculations. Decimal points: any decimal points are fine and all the numerical questions have a 10% error tolerance. (а) (b) hot Bo H LAB LBC Cross-section W Figure Q4: (a) A wooden beam is loaded by a distributed load, (b) cross-section of the beam.
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\\\\ Exercise 5 Consider a simply supported beam ABC of the total length L and a constant flexural rigidity El in Figure Q2. The beam supports a concentrated load P, located at half length of the beam. Use the Moment-Area method to determine: Exercise 6 M ΕΙ (a) The diagram of the beam, through drawing. M ΕΙ (b) The areas A₁ and A₂ when the diagram is divided into two areas. (c) The equation of the angle of rotation cat point 'C'. (d) The equation of maximum deflection &c at point 'C'. B 24 A Exercise 8 (a) The diagram of the beam, by drawing. (b) The equation of angle of rotation (C) P₁ 1|2 S at point A. The equation of maximum deflection & at point A. Exercise 7 Consider a cantilever beam ABC of the total length L and a constant flexural rigidity El in Figure Q3. The beam supports two concentrated loads P₁ and P2 located at full length and at half length of the beam, respectively. Determine: P₂ P B Figure Q2 Consider a cantilever beam AB in Figure Q1, with the length L and the point…
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