Mechanics of Materials
11th Edition
ISBN: 9780137605514
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 12.2, Problem 1FP
Determine the slope and deflection of end A of the cantilevered beam. E = 200 GPa and I = 65.0(106) mm4.
F12–1
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Determine 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 mm
3. Set up necessary equations to solve for the beam
reactions. Due to poor construction, roller support B settles
by 12 mm. If E=200 GPa and I=80(10)6 mm4
24KN/m
C
4m
4m
A
Determine the slope and deflection of end A of the cantilevered beam. E = 200 GPa and I = 65.0(106) mm4.
Chapter 12 Solutions
Mechanics of Materials
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- 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 iCarrow_forwardFor 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_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
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- Determine 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_forward2- Determine the slope and deflection at x = 3 m. (EI constant). 2 m 10 kNm 2 m 2 kN/m 2 m 2 m 5 KN 2 marrow_forwardFor the beam and loading shown, determine (a) the slope at point B, (b) the deflection at point D. Use E-200 Gpa , I= 462 (10)-6 A 40 kN/m -4.8 m- B 1.8 m 160 kN Darrow_forward
- The wooden beam is subjected to the load shown. Determine the deflection and the slope at end B. 6 kN 2 kN/m 4 kN B 400 mm 200 mm 3 m -1.5 m–|–1.5 marrow_forwardDetermine the slope at Point A of the beam shown below, measured counterclockwise from the positive x axis. P = 18 kN Wo = 29 kN/m E = 200 GPa I-90.511x106 m² Ensure that iyour answer is in radians. 2P -B -1.8 m- -1.8 m- -1.8 m-arrow_forwardDetermine the slope at points B and C of the beam shown. Take E = 29(103) ksi and I = 600 in4.arrow_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