Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 12, Problem 9RP
Using 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.
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Using 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.
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Using 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
Chapter 12 Solutions
Mechanics of Materials
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- A cantilever beam of length 6 m carries a uniformly distributed load of 2.5 kN/m over its entire length. Determine the maximum deflection and slope if E = 210 GPa and I = 12.5 x 106 mm4.arrow_forward4. Determine the deflection at A and C and the slope at B of the beam loaded as shown. Let qo = 25 kN/m and L = 4 m. El is constant L/2 C L2 Barrow_forward5 kN/m |40 mm For the beam and loading shown, determine the deflection at point B. Use E = 200 GPa. 80 mm B ( 4 kN. 0,6 m- 0.9 marrow_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_forwardsu 5. Using superposition, determine the deflection at the free end C of the cantilevered beam shown below, if I = 130 x 10-6 m4 and E = 200 GPa. L se A B 40 kN m -2m 10 kN/m 4 m CIarrow_forwardUse the conjugate-beam method and determine the slope just to the left and just to the right of the pin at B. Also, determine the deflection at D. Assume the beam is fixed supported at A, and that C is a roller. Take M = 20 kN m, L = 7 m and EI = 10000 KNM². M A В C D' L Part 1) The magnitude of slope just to the left of the pin at B, O BL = 2 10 3 rad Your last answer was interpreted as follows: 2 Part 2) The magnitude of slope just to the right of the pin at B, 0 BR = 1 10 3 rad Your last answer was interpreted as follows: 1 Part 3) The magnitude of displacement at D, Ap= |1 mm Your last answer was interpreted as follows:1arrow_forward
- Determine the slopes and deflections at points B and C of the cantilever beam shown using the moment-area method.arrow_forwardH.W For the shown beam-column, derive and solve the differential equation of the deflection curve. (Neglect self-weight) 777 Barrow_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_forward
- 2 - Use double integration to determine the elastic curve of the cantilever beam under lateral loading, where w is the load intensity (per unit length) at the left end. Flexural rigidity is El. Show that the tip displacement is: y w w14 U(L)=-30EIarrow_forwardThe horizontal beam (below) is assumed to be rigid and supports the distributed load shown. Determine the vertical reactions at each of the supports and the deflection of the support at C. Each support consists of a wooden post having a diameter of 120 mm and an unloaded (original) length of 1.40 m. Assume Ewood = 12 GPa.arrow_forwardParvinbhaiarrow_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