MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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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 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 b =3 in. and h= 6 in.
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Chapter 12 Solutions
MECHANICS OF MATERIALS
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- Consider the beam and loading shown. Use E = 215 GPa. Determine the slope at end A and the deflection at point Carrow_forwardUsing the method of superposition, determine the deflection at C of beam AB. The beams are made of wood having a modulus of elasticity of E = 1.5(103) ksi.arrow_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
- For the beam loaded as shown, determine the deflection 6 ft from the wall. Use E = 1.5 x 106 psi and I = 40 in.* 80 lb/ft B 8 ftarrow_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_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_forward
- A 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_forwarddetermine the deflection at B in mm using Conjugate Beam Method. Consider 150 mm x 200 (b x h) mm section and E=80 GPa. Enter the absolute value only and round off your answer to 3 decimal places Answer asap. I ratearrow_forward
- Determine an expression for the shape of the loaded beam (elastic curve)arrow_forwardThe beam is made of Douglas fir having an allowable bending stress of sallow = 1.1 ksi and an allowable shear stress of tallow = 0.70 ksi. Determine the width b if the height h = 2b.arrow_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