Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 16.2, Problem 4FP
To determine
Find the maximum deflection of the simply supported beam
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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)
note the image is wrong, must be I=63(106)mm^4
Use 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:1
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 ft
Chapter 16 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 16.2 - In each ease, determine the internal bending...Ch. 16.2 - Prob. 1FPCh. 16.2 - Determine the slope and deflection of end A of the...Ch. 16.2 - Prob. 3FPCh. 16.2 - Prob. 4FPCh. 16.2 - Determine the maximum deflection of the simply...Ch. 16.2 - Prob. 6FPCh. 16.2 - An L2 steel strap having a thickness of 0.125 in....Ch. 16.2 - The L2 steel blade of the band saw wraps around...Ch. 16.2 - A picture is taken of a man performing a pole...
Ch. 16.2 - Determine the equation of the elastic curve for...Ch. 16.2 - Determine the deflection of end C of the...Ch. 16.2 - Prob. 6PCh. 16.2 - The A-36 steel beam has a depth of 10 in. and is...Ch. 16.2 - Prob. 8PCh. 16.2 - Determine the equations of the elastic curve for...Ch. 16.2 - Determine the equations of the elastic curve using...Ch. 16.2 - Determine the equations of the elastic curve using...Ch. 16.2 - Prob. 12PCh. 16.2 - Determine the maximum deflection of the beam and...Ch. 16.2 - The simply supported shaft has a moment of inertia...Ch. 16.2 - A torque wrench is used to tighten the nut on a...Ch. 16.2 - The pipe can be assumed roller supported at its...Ch. 16.2 - Determine the equations of the elastic curve for...Ch. 16.2 - The bar is supported by a roller constraint at B,...Ch. 16.2 - The bar is supported by a roller constraint at B,...Ch. 16.2 - Determine the equations of the elastic curve using...Ch. 16.2 - Prob. 21PCh. 16.2 - Determine the elastic curve for the cantilevered...Ch. 16.2 - Prob. 23PCh. 16.2 - Prob. 24PCh. 16.2 - The floor beam of the airplane is subjected to the...Ch. 16.2 - Determine the maximum deflection of the simply...Ch. 16.2 - The beam is made of a material having a specific...Ch. 16.2 - Determine the slope at end B and the maximum...Ch. 16.2 - Prob. 29PCh. 16.2 - Determine the equations of the elastic curve using...Ch. 16.3 - The shaft is supported at A by a journal bearing...Ch. 16.3 - The shaft supports the two pulley loads shown....Ch. 16.3 - Prob. 33PCh. 16.3 - Prob. 34PCh. 16.3 - The beam is subjected to the load shown. Determine...Ch. 16.3 - Prob. 36PCh. 16.3 - Determine the equation of the elastic curve and...Ch. 16.3 - Prob. 38PCh. 16.3 - Prob. 39PCh. 16.3 - Determine the slope at A and the deflection of end...Ch. 16.3 - Determine the maximum deflection in region AB of...Ch. 16.3 - Prob. 42PCh. 16.3 - Prob. 43PCh. 16.3 - Prob. 44PCh. 16.4 - The W10 15 cantilevered beam is made of A-36...Ch. 16.4 - The W10 15 cantilevered beam is made of A-36...Ch. 16.4 - The W14 43 simply supported beam is made of A992...Ch. 16.4 - The W14 43 simply supported beam is made of A992...Ch. 16.4 - The W14 43 simply supported beam is made of A-36...Ch. 16.4 - The W14 43 simply supported beam is made of A-36...Ch. 16.4 - The W8 48 cantilevered beam is made of A-36 steel...Ch. 16.4 - The beam supports the loading shown. Code...Ch. 16.4 - Prob. 53PCh. 16.4 - The W8 48 cantilevered beam is made of A-36 steel...Ch. 16.4 - Prob. 55PCh. 16.4 - Prob. 56PCh. 16.4 - Prob. 57PCh. 16.4 - The assembly consists of a cantilevered beam CB...Ch. 16.4 - Prob. 59PCh. 16.4 - Prob. 60PCh. 16.5 - Determine the reactions at the fixed support A and...Ch. 16.5 - Prob. 8FPCh. 16.5 - Determine the reactions at the fixed support A and...Ch. 16.5 - Prob. 10FPCh. 16.5 - Prob. 11FPCh. 16.5 - Prob. 12FPCh. 16.5 - Prob. 61PCh. 16.5 - Determine the reactions at the supports, then draw...Ch. 16.5 - Determine the reactions at the supports, then draw...Ch. 16.5 - Prob. 64PCh. 16.5 - The beam is used to support the 20-kip load....Ch. 16.5 - Prob. 66PCh. 16.5 - Determine the reactions at the supports A and B....Ch. 16.5 - Before the uniform distributed load is applied to...Ch. 16.5 - Prob. 69PCh. 16.5 - Prob. 70PCh. 16.5 - The beam is supported by the bolted supports at...Ch. 16.5 - Prob. 72PCh. 16.5 - Prob. 73PCh. 16 - Prob. 1RPCh. 16 - Draw the bending-moment diagram for the shaft and...Ch. 16 - Prob. 3RPCh. 16 - Determine the equations of the elastic curve for...Ch. 16 - Determine the maximum deflection between the...Ch. 16 - Prob. 6RPCh. 16 - The framework consists of two A-36 steel...Ch. 16 - Prob. 8RPCh. 16 - Using the method of superposition, determine the...
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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
- 1. 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_forwardA 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_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_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_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_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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