Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 12.2, Problem 4FP
Determine the maximum deflection of the simply supported beam. The beam is made of wood having a modulus of elasticity of Ew = 1.5(103) ksi and a rectangular cross section of width b = 3 in. and height h = 6 in.
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Determine the maximum deflection of the cantilevered beam. The beam is made of material having an E=200GPaE=200GPa and I=63(106)mm6I=63(106)mm4 . (Figure 1)
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Chapter 12 Solutions
Mechanics of Materials
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- 2. Using the conjugate beam method, determine the maximum deflection of the beam. Use E = 10,000 ksi and I = 500 in4. 30 k A B -14 ft- -7 ft-arrow_forwardDetermine the deflection at point B given the cross-section of the beam and assuming E = 200 GPa. 200 mm A 20 mm 8 kN 4kN/m A 200 mm C 30 mm 1 m 1 m 2 m 2 m 20 mmarrow_forwardDetermine the maximum deflection of the simply supported beam. The beam is made of wood having a modulus of elasticity of Ew = 1.5(103) ksi and a rectangular cross section of width b = 3 in. and height h = 6 in.arrow_forward
- A simply supported beam is subjected to a triangularly distributed load of Q = 6.0 kN/m over segment length L = 2.8 m. Determine the maximum slope and deflection of the beam. Assume El is constant. Q kN/m L Larrow_forward1. By using Three Moment Equation, determine the deflection at the midspan of the beam shown. 30 kN/m 5 m- El= constant E = 200 GPa 1=1460x10 mm¹ B -2m- сarrow_forwardDetermine the value of the slope and deflection of the beam at points B and C. E and I are constant over the beam length. (Set a = 4m, w = 5kN/m, E = 200 GPa, I = 114 x 106 mm4)arrow_forward
- Using Moment-Area Method, determine the slope at A and B and the deflection at point B of the loaded beam shown. Use E = 150 GPa and I = 110x106 mm4. (Please show moment diagrams by parts)arrow_forwardA simply supported beam of dimension 11.5 m x 45 mm x 75 mm. It carries a uniformly distributed load of 450 kN/m for entire span. Determine (a) Maximum stress due to bending and (b) Young's modulus of the material used for the beam, if it deflects 125 mm maximum at the mid of the span. Also find the maximum slope in the beam. Moment of inertia of the cross section of the beam in m4 = Young's modulus of the beam material in MPa is = Maximum bending stress due to bending in MPa is = The slope at the supports of beam in radians is =arrow_forwardA simply supported beam of dimension 12.5 m x 35 mm x 70 mm. It carries a uniformly distributed load of 450 kN/m for entire span. Determine (a) Maximum stress due to bending and (b) Young’s modulus of the material used for the beam, if it deflects 150 mm maximum at the mid of the span. Also find the maximum slope in the beam. Moment of inertia of the cross section of the beam in m4 = oung's modulus of the beam material in MPa is = Maximum bending stress due to bending in MPa is = The slope at the supports of beam in radians is =arrow_forward
- Determine the maximum deflection in region AB of the overhang beam. Take E = 29(103) ksi and I = 204 in4.arrow_forwardDetermine the slope and deflection at point B of the beam shown below by the moment- area method. 90 kN A B. 5 m El = constant E = 200 GPa I = 800 (106) mm4arrow_forward5. The rigid beam rests on two short posts AC and BD as shown. Post AC is made from steel with E-200 GPa and BD from aluminum with E-70 GPa. The diameters of posts AC and 80 are 25 mm and 40 mm, respectively. Determine the vertical displacement of point on AB 100 KN 400mm D 6. The timber beam has a cross-sectional area of 2000 mm and its modulus of elasticity is 12 GP Axial loads are applied at points B, C, and D as shown. Calculate the total change in length of the beam. Answer: 2.33 mm 40 KN 35 KN 20 KN 3.20 m 1.60m 3.20 marrow_forward
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Solids: Lesson 53 - Slope and Deflection of Beams Intro; Author: Jeff Hanson;https://www.youtube.com/watch?v=I7lTq68JRmY;License: Standard YouTube License, CC-BY