Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4, Problem 4.5.26P
Beams ABC and CD are supported at A,C, and D and are joined by a hinge (or moment release) just to the left of C. The support at A is a sliding support (hence reaction A = 0 for the loading shown below). Find all support reactions; then plot shear (F) and moment (M) diagrams. Label all critical Fand M values and also the distance to points where either F and/or M are zero.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Beams ABC and CD are supported at A, C,and D and are joined by a hinge (or moment release)just to the left of C. The support at A is a sliding support(hence reaction Ay = 0 for the loading shownbelow). Find all support reactions; then plot shear (V)and moment (M) diagrams. Label all critical V andM values and also the distance to points where eitherV and/or M are zero.
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
A beam, supported by hinge and roller, is subjected to the forces shown in the figure, and a clockwise moment at point D. Calculate and indicate the directions of the reactions at the supports.
Chapter 4 Solutions
Mechanics of Materials (MindTap Course List)
Ch. 4 - Calculate the shear force V and bending moment...Ch. 4 - Determine the shear force V and bending moment M...Ch. 4 - Determine the shear force V and bending moment M...Ch. 4 - Calculate the shear force V and bending moment M...Ch. 4 - Consider the beam with an overhang shown in the...Ch. 4 - The beam ABC shown in the figure is simply...Ch. 4 - The beam ABCD shown in the figure has overhangs at...Ch. 4 - At a full d raw, an archer applies a pull of 130 N...Ch. 4 - A curved bar ABC is subjected to loads in the form...Ch. 4 - Under cruising conditions, the distributed load...
Ch. 4 - A beam ABCD with a vertical arm CE is supported as...Ch. 4 - A simply supported beam AB supports a trapezoid...Ch. 4 - Beam ABCD represents a reinforced-concrete...Ch. 4 - Find shear (V) and moment (M) at x = 3L/4 for the...Ch. 4 - Find expressions for shear force V and moment M at...Ch. 4 - Find expressions for shear force V and moment Mat...Ch. 4 - Find expressions for shear force V and moment Mat...Ch. 4 - Find expressions for shear force V and moment M at...Ch. 4 - Find expressions for shear force V and moment M at...Ch. 4 - Find expressions for shear force V and moment M at...Ch. 4 - A cable with force P is attached to a frame at A...Ch. 4 - Find expressions for shear force V and moment M at...Ch. 4 - A cable with force P is attached to a frame at D...Ch. 4 - Frame ABCD carries two concentrated loads (2P at T...Ch. 4 - Frame ABC has a moment release just left of joint...Ch. 4 - The simply supported beam ABCD is loaded by a...Ch. 4 - The centrifuge shown in the figure rotates in a...Ch. 4 - Draw the shear-Force and bending-moment diagrams...Ch. 4 - A simple beam AB is subjected to a counter...Ch. 4 - Draw the shear-force and bending-moment diagrams...Ch. 4 - The cantilever beam AB shown in the figure is...Ch. 4 - Cantilever beam AB carries an upward uniform load...Ch. 4 - The simple beam AB shown in the figure is...Ch. 4 - A simple beam AB subjected to couples M1and 3M2...Ch. 4 - A simply supported beam ABC is loaded by a...Ch. 4 - A simply supported beam ABC is loaded at the end...Ch. 4 - A beam ABC is simply supported at A and B and has...Ch. 4 - Beam ABCD is simply supported at B and C and has...Ch. 4 - Draw the shear-force and bending-moment diagrams...Ch. 4 - The simple beam AB supports a triangular load of...Ch. 4 - The beam AB shown in the figure supports a uniform...Ch. 4 - A cantilever beam AB supports a couple and a...Ch. 4 - The cantilever beam A B shown in the figure is...Ch. 4 - Beam ABC has simple supports at .A and B. an...Ch. 4 - Beam ABC with an overhang at one end supports a...Ch. 4 - Consider the two beams shown in the figures. Which...Ch. 4 - The three beams in the figure have the same...Ch. 4 - The beam ABC shown in the figure is simply...Ch. 4 - A simple beam AB is loaded by two segments of...Ch. 4 - Two beams (see figure) are loaded the same and...Ch. 4 - The beam A BCD shown in the figure has overhangs...Ch. 4 - A beam ABCD with a vertical arm CE is supported as...Ch. 4 - Beams ABC and CD are supported at A,C, and D and...Ch. 4 - The simple beam ACE shown in the figure is...Ch. 4 - A beam with simple supports is subjected to a...Ch. 4 - A beam of length L is designed to support a...Ch. 4 - The compound beam ABCDE shown in the figure...Ch. 4 - Draw the shear-force and bending-moment diagrams...Ch. 4 - The shear-force diagram for a simple beam is shown...Ch. 4 - The shear-force diagram for a beam is shown in the...Ch. 4 - A compound beam (see figure) has an internal...Ch. 4 - A compound beam (see figure) has an shear release...Ch. 4 - A simple beam AB supports two connected wheel...Ch. 4 - The inclined beam represents a ladder with the...Ch. 4 - Beam ABC is supported by a tie rod CD as shown....Ch. 4 - A plane frame (see figure) consists of column AB...Ch. 4 - The plane frame shown in the figure is part of an...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The plane frame shown in the figure is part of an elevated freeway system. Supports at A and D arc fixed, but there are moment releases at the base of both columns (AB and DE) as well as in column BC and at the end of beam BE. Find all support reactions; then plot axial-force (N), shear (F), and moment (M) diagrams for all beam and column members. Label all critical N, V, and M values and also the distance to points where any critical ordinatcs are zero.arrow_forwardRepeat Problem 6.2-1 but now assume that the steel plate is smaller (0.5 in. × 5 in.) and is aligned with the top of the beam as shown in the figure.arrow_forwardThe continuous frame ABC has a fixed support at A, a roller support at C, and a rigid corner connection at B (see figure). Members AB and BC each have length L and flexural rigidity EL. A horizontal force P acts at mid-height of member AB. Find all reactions of the frame. What is the largest bending moment Mmaxin the frame? Note: Disregard axial deformations in member AB and consider only the effects of bending.arrow_forward
- Determine the fixed-end moments (MAand MB) and fixed-end forces (R4and Rs) for a beam of length L supporting a triangular load of maximum intensity q0(see figure). Then draw the shear-force and bending-moment diagrams, labeling all critical ordinates.arrow_forwardA simply supported beam ABC is loaded at the end of a bracket BDE (see figure). Draw axial-force, shear-force, and bending-moment diagrams for ABC.arrow_forwardA beam supporting a uniform load of intensity q throughout its length rests on pistons at points A, C and B (sec figure). The cylinders are filled with oil and are connected by a tube so that the oil pressure on each piston is the same. The pistons at A and B have diameter d1and the piston at C has diameter D2. (a) Determine the ratio of d2to d1so that the largest bending moment in the beam is as small as possible. Under these optimum conditions, what is the largest bending moment Mmaxin the beam? What is the difference in elevation between point C and the end supports?arrow_forward
- The Z-section of Example D-7 is subjected to M = 5 kN · m, as shown. Determine the orientation of the neutral axis and calculate the maximum tensile stress c1and maximum compressive stress ocin the beam. Use the following numerical data: height; = 200 mm, width ft = 90 mm, constant thickness a = 15 mm, and B = 19.2e. Use = 32.6 × 106 mm4 and I2= 2.4 × 10e mm4 from Example D-7arrow_forwardBeam ABC is supported by a tie rod CD as shown. Two configurations are possible: pin support at A and downward triangular load on AB or pin at B and upward load on AB. Which has the larger maximum moment? First, find all support reactions; then plot axial force (N), shear (V), and moment (M) diagrams for ABC only and label all critical N, V, and M values. Label the distance to points where any critical ordinates are zero.arrow_forwardA compound beam (see figure) has an internal moment release just to the left of B and a shear release just to the right of C Reactions have been computed at A, C, and D and are shown in the figure. First, confirm the reaction expressions using statics; then plot shear (V) and moment (W) diagrams. Label all critical Fand M values and also the distance to points where either V and/or M are zero.arrow_forward
- The three beams in the figure have the same loading. However, one has a moment release just to the left of C, the second has a shear release just to the right of C, and the third has an axial release just to the left of C. Which beam has the largest maximum moment? First, find support reactions; then plot axial force (N), shear ( V) and moment (M) diagrams for all three beams. Label all critical N, K, and M values and also the distance to points where N, K and loi M are zero.arrow_forwardA compound beam (see figure) has an shear release just to the left of C and a moment release just to the right of C. A plot of the moment diagram is provided below the beam for applied load P at B and triangular distributed loads v(x) on segments Z/C and CD. First, solve for reactions using statics; then plot axial force (A) and shear force (K) diagrams. Confirm that the moment diagram is that shown below. Label all critical N, V, and M values and also the distance to points where N, V, and/or M are zero.arrow_forwardThe continuous frame ABC has a pinned support at A, a sliding support at C, and a rigid corner connection at B (see figure). Members AB and BC each have length L and flexural rigidity EI. A horizontal force P acts at mid-height of member AB. Find all reactions of the frame. What is the largest bending moment Mmaxin the frame? Note: Disregard axial deformations in members AB and BC and consider only the effects of bending.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Everything About COMBINED LOADING in 10 Minutes! Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=N-PlI900hSg;License: Standard youtube license