Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 12.5, Problem 12.86P
The W14 × 43 simply supported beam is made of A992 steel and is subjected to the loading shown. Determine the slope at A and B.
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Determine the reactions at A for the cantilever beam subjected to the distributed and concentrated loads.
3.0 kN
6.0 kN/m
A
2.3 m
1.1 m
1.1 m -
Determine the slope at B and the maximum displacement of the
beam.
E = 200 GPa, I = 550(106)mmª.
Solve Prob.
A
F
using the conjugate-beam method.
2 m
30 kN
B
1 m
iC
For the beam and loading shown, determine the displacement at point C.
Assume El to be constant for the beam.
8 kip/ft
6 ft
9 ft
B
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- Determine the slope at points A and B if the support at O has translational stiffness K: and rotational stiffness Kr F1 HJ. 1m A 1m F2 B machine elements design Xarrow_forwardPlease determine the support reactions of the given beam with distributed loadings. Distributed loads at A and B is given as 1001 N/m and 1200 N/m, respectively. 10AB N/m A 3.6 m B 1200 N/marrow_forwardThe W8 * 48 cantilevered beam is made of A-36 steel and is subjected to the loading shown. Determine the displacement at C and the slope at A.arrow_forward
- For the beam shown in the diagram, El is constant. Determine the slope at Section B and the displacement at Section C respectively using the method of superposition. BY /2 1/2arrow_forwardDraw shear and bending moment diagram for the beam ABC, and determine the compressive load P to be carried by the timber post. Determine the minimum width required for the square timber post.arrow_forwardThe cantilevered beam is subjected to a couple of moment M0 applied at its end. Determine the slope of the beam at B. EI is constant. Use the method of virtual work.arrow_forward
- Determine the maximum height h from which an 80-lb weight can be dropped onto the end of the A-36 steel W6 * 12 beams without exceeding the maximum elastic stress.arrow_forwardBar ABC has a rectangular cross section of 300 mm by 100 mm. Attached rod DB has a diameter of 20 mm. If both members are made of A-36 steel, determine the slope at A due to the loading. Consider only the effect of bending in ABC and axial force in DB.arrow_forwardDetermine the reactions at fixed end A and roller B for the propped cantilever beam shown below. Note: Express your answers following the standard sign convention for the coordinate system shown. Report counterclockwise moments as positive (+) and clockwise moments as negative (-). y4 Given: • L₁ = 14 ft • L₂ = 5 ft • q = 4 kips/ft Ay = By = 0 MRA= 0 13.18 A L2 L₁ kip kip q ? x 0% kip- ft 48 X B I I (777 1 Pa Garrow_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