Statics and Mechanics of Materials, Student Value Edition (5th Edition)
5th Edition
ISBN: 9780134382890
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 16.2, Problem 12P
To determine
Draw the bending-moment diagram for the shaft.
Draw the deflection or elastic curve for the shaft using the bending moment diagram.
Find the equations of the elastic curve
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3
For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. V
= 9 kN, V2 = 9 kN, V3 = 200 mm, and V4 = 1100 mm.
ATAT-V3
Provide values at all key points shown in the given shear-force and bending-moment diagrams.
X
(mm)
B
A =
B =
C =
D =
E=
F=
P =
Q =
E
* KN
* KN
* KN
× KN
KN
x KN
✩ kN.mm
*kN.mm
D
0.00
Reaction force R₁ (left) =
In the shear-force and bending-moment diagrams given,
+V
0.00
X
(mm)
6.3 kN and reaction force R2 (right) =
P
11.7 kN.
Q
0.00
If the beam is subjected to an internal moment of M = 100 kN*m, determine the bending stress
developed at points A, B, and C. Sketch the bending stress distribution on the cross section.
Construct the stress distribution in 2D similar to in-class examples, rather than isometrically similar
to the textbook examples for clarity.
30 mm
A
B
300 mm
M
150 mm
150 mm
30 mm
strength of materials
Chapter 16 Solutions
Statics and Mechanics of Materials, Student Value Edition (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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- The simply supported beam is subjected to the force F = 700 N and the uniform distributed load with intensity w = 150 N/m. Draw the shear force and bending moment diagrams (in your homework documentation) and determine the equations for V(r) and M(x). Take a = 0 at point A. 19 F a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 5.2 m 2.6 m 3.12 m Support Reactions The reaction at A is N. The reaction at D is N. Shear Force and Bending Moment Equations In section AB: V(x)= N and M(x)= N-m. In section BC: v(x)- N and M(x)= N-m. In section CD: V(x)- N and M(x)= N-m. Aarrow_forwardThe subject is Mechanics of Deformable Bodies. Please answer problem 1 to 5. Please Im begging you. PLEASE thank youarrow_forwardNonearrow_forward
- determine the diagram of the shear forces and bending moments in the beam shown below. Data P = 20kN, M = 60kNm, q = 10kN / m, a = 5m, b = 2m, c = 3, alpha = 60.arrow_forwardconsider the beam shown in. EI is constant. assume that EI is in kip * ft2. determine the expression for the elastic curve using the coordinate x1 for 0 < x1 < 20 ft, where x1 is in feet. v1 in ft answer in terms of the variables x1, E and I. determine the expression for the elastic curve using the coordinate x2 for 0 < x2 < 10 ft where x2 is in feet. v2 in ft. answer in terms of the variables x2, E and I. specify the deflection of the beam at C. vc in ft. answer in terms of E and I. specify the slope at A, measured counterclockwise from the positive x1 axis. Theta A in rad. answer in terms of E and I.arrow_forwardThe simply supported beam is subjected to the force F-600 N and the uniform distributed load with intensity w=450 N/m. Draw the shear force and bending moment diagrams (in your homework documentation) and determine the equations for V(z) and M(2). Take 2 = 0 at point A. 19 W B F 2013 Michael Swanbom BY NC SA D Χ a. -b- - Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value α 4 m b 2 m с 3 m Determine the maximum shear force (magnitude) and its location in the beam, and the maximum bending moment (magnitude) and its location in the beam. Note: On an exam, you may be required to actually sketch the shear and moment diagrams, but there is no reasonable way to assess this on WAMAP. Maximum shear stress: Vmax Maximum bending moment: Max = N located at x = m Nm located at x = marrow_forward
- The beam is subjected to the load shown. The beam is made of material having an E = 200 GPa and I = 65.0 x 10-6 m4. Using singularity functions, develop an expression for the bending moment M(x) asfunction of position (x) along the beam.arrow_forwardThe subject is Mechanics of Deformable Bodies. Please answer problem 1 to 5 because this is my last expert question. Please. I'm begging you please thank youarrow_forwardPart B - Moments of inertia of the cross section with respect to the y- and z-axesTo calculate the absolute maximum bending stress in the member using the flexure formula for unsymmetrical bending, the moments of inertia of the cross section must be calculated. Select the correct formulas for these values. Iy=? Part C - Neutral-axis angle due to externally applied momentsThe neutral-axis angle of the cross section being analyzed is the axis along which there is a zero stress value. Determine the neutral-axis angle, α, due to the externally applied moments as measured counterclockwise from the positive z axis in the yz plane.Express your answer to three significant figures and include the appropriate units. α=? Part D - Absolute maximum stress in cross section ABCDDetermine the absolute maximum stress, |σmax|, in cross section ABCD due to the two externally applied moments. |σmax|=?arrow_forward
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Understanding Shear Force and Bending Moment Diagrams; Author: The Efficient Engineer;https://www.youtube.com/watch?v=C-FEVzI8oe8;License: Standard YouTube License, CC-BY
Bending Stress; Author: moodlemech;https://www.youtube.com/watch?v=9QIqewkE6xM;License: Standard Youtube License