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
Textbook Question
Chapter 10, Problem 10.4.32P
Two identical, simply supported beams AB and CD are placed so that they cross each other at their midpoints (sec figure). Before the uniform load is applied, the beams just touch each other at the crossing point.
Determine the maximum bending moments (mab)max* and (MCD)max beams AB and CD, respectively, due to the uniform load if the intensity of the load is q = 6.4 kN/m and the length of each beam is L = 4 m.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Draw the Shear force diagram & Bending moment diagram for the cantilever beam as shown in figure, mark the salient points in the diagram. Neglect the self-weight of the beam, where F1 =30 N, F2=60N, F3 =60 N, F4 =80N, a =3 m, b=1 m, c=5 m, d=4 m
The reaction at the fixed support "A" (unit in N)=_____________
Answer for part 1
(ii) Shear force at the point "A" (Unit in N) = ________
Answer for part 2
(iii) Shear force at the point "B" (Unit in N) = ________
Answer for part 3
(iv) Shear force at the point "C" (Unit in N) = ________
Answer for part 4
(v) Shear force at the point "D" (Unit in N) = ________
Answer for part 5
(vi) Shear force at the point "E" (Unit in N) = ________
Answer for part 6
(vii) Bending moment at the point "E"(unit in Nm) = ________________
Answer for part 7
(viii) Bending moment at the point "D"(unit in Nm) = ________________
Answer for part 8
(ix) Bending moment at the point "C"(unit in Nm) = ________________
Answer for part 9
(x) Bending moment…
A cantilevered beam is loaded with a uniformly distributed load as shown below. If w1 = 2000 lb/ft, what is the value of the moment (ft-lb) at x = 2 ft?(NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE)
1. The load diagram for the beam is shown in Figure.
а.
Reaction forces at A and B
6 kN
b. Derive the load intensity function (q),
3 kN/m
shear force (V) and bending moment
(M) relations by using the Singularity
В
Functions.
c. Sketch the shear force and bending
OMO
moment diagrams
d. Determine the maximum moment
1.5
1.5 m
Chapter 10 Solutions
Mechanics of Materials (MindTap Course List)
Ch. 10 - A propped cantilever steel beam is constructed...Ch. 10 - A fixed-end b earn is subjected to a point load at...Ch. 10 - A propped cantilever beam AB of a length L is...Ch. 10 - A fixed-end beam AB of a length L supports a...Ch. 10 - A cantilever beam AB of a length L has a fixed...Ch. 10 - A cantilever beam of a length L and loaded by a...Ch. 10 - A cantilever beam has a length L and is loaded by...Ch. 10 - A propped cantilever beam of a length L is loaded...Ch. 10 - A propped cantilever beam of a length L is loaded...Ch. 10 - A fixed-end beam of a length L is loaded by a...
Ch. 10 - A fixed-end b earn of a length L is loaded by a...Ch. 10 - A fixed-end beam of a length L is loaded by...Ch. 10 - A counterclockwise moment M0acts at the midpoint...Ch. 10 - A propped cantilever beam of a length L is loaded...Ch. 10 - A propped cantilever beam is subjected to uniform...Ch. 10 - Repeat Problem 10.3-15 using L = 3.5 m, max = 3...Ch. 10 - A two-span, continuous wood girder (E = 1700 ksi)...Ch. 10 - A fixed-end beam AB carries point load P acting at...Ch. 10 - A fixed-end beam AB supports a uniform load of...Ch. 10 - -4-4 A cantilever beam is supported at B by cable...Ch. 10 - A propped cantilever beam AB of a length L carries...Ch. 10 - A beam with a sliding support at B is loaded by a...Ch. 10 - A propped cantilever beam of a length 2L with a...Ch. 10 - The continuous frame ABC has a pin support at /l,...Ch. 10 - The continuous frame ABC has a pin support at A,...Ch. 10 - Beam AB has a pin support at A and a roller...Ch. 10 - The continuous frame ABCD has a pin support at B:...Ch. 10 - Two flat beams AB and CD, lying in horizontal...Ch. 10 - -4-13 A propped cantilever beam of a length 2L is...Ch. 10 - A propped cantilever beam of a length 2L is loaded...Ch. 10 - Determine the fixed-end moments (MAand MB) and...Ch. 10 - A continuous beam ABC wit h two unequal spans, one...Ch. 10 - Beam ABC is fixed at support A and rests (at point...Ch. 10 - A propped cantilever beam has flexural rigidity EI...Ch. 10 - A triangularly distributed 1oad with a maximum...Ch. 10 - A fixed-end beam is loaded by a uniform load q =...Ch. 10 - Uniform load q = 10 lb/ft acts over part of the...Ch. 10 - A propped cantilever beam with a length L = 4 m is...Ch. 10 - A cant i levé r b ea m i s supported by a tie rod...Ch. 10 - The figure shows a nonprismatic, propped...Ch. 10 - A beam ABC is fixed at end A and supported by beam...Ch. 10 - A three-span continuous beam A BCD with three...Ch. 10 - A beam rests on supports at A and B and is loaded...Ch. 10 - A propped cantilever beam is subjected to two...Ch. 10 - A propped cantilever beam is loaded by a...Ch. 10 - A fixed-end beam AB of a length L is subjected to...Ch. 10 - A temporary wood flume serving as a channel for...Ch. 10 - Two identical, simply supported beams AB and CD...Ch. 10 - The cantilever beam AB shown in the figure is an...Ch. 10 - The beam AB shown in the figure is simply...Ch. 10 - The continuous frame ABC has a fixed support at A,...Ch. 10 - The continuous frame ABC has a pinned support at...Ch. 10 - A wide-flange beam ABC rests on three identical...Ch. 10 - A fixed-end beam AB of a length L is subjected to...Ch. 10 - A beam supporting a uniform load of intensity q...Ch. 10 - A thin steel beam AB used in conjunction with an...Ch. 10 - Find an expression for required moment MA(in terms...Ch. 10 - Repeat Problem 10.4-41 for the loading shown in...Ch. 10 - A propped cantilever beam is loaded by two...Ch. 10 - A cable CD of a length H is attached to the third...Ch. 10 - A propped cantilever beam, fixed at the left-hand...Ch. 10 - Solve t he preceding problem by integrating the...Ch. 10 - A two-span beam with spans of lengths L and L/3 is...Ch. 10 - Solve the preceding problem by integrating the...Ch. 10 - Assume that the deflected shape of a beam AB with...Ch. 10 - (a) A simple beam AB with length L and height h...
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
- .10 A built-up bourn supporting a condominium balcony is made up of a structural T (one half of a W 200 x 31.3) for the top flange and web and two angles (2 L 2 / b / 6.4. long legal back-lo-backl lot the bottom flange and web. as shown. The beam is subjected to a bending moment .1/ having its vector at an angle ft lo the z axis (see figure). Determine the or ion ta I ion of the neutral axis and calculate the maximum tensile stress ir, and maximum compressive stress tr. in ".he beam. .Assume that 9 = 30°andM = 15 kN · m. Use the numerical properties: c =4.111mm, c2 =4.169 mm, of = 134 mm, I, = 76 mm, A = 4144 mm 3 =3.88 X 106 mm 4, and = 34.18 X 10 mm 4.arrow_forwardThe cross section of a bimetallic strip is shown in the figure. Assuming that the moduli of elasticity for metals A and B are EA=168 GPa and EB= 90 GPa, respectively, determine the smaller of the two section moduli for the beam. (Recall that section modulus is equal to bending moment divided by maximum bending stress.) In which material does the maximum stress occur?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
- A beam ABC is fixed at end A and supported by beam DE at point B (sec figure). Both beams have the same cross section and are made of the same material. Determine all reactions due to the load P. What is the numerically largest bending moment in cither beam?arrow_forwardFrom the given beam shown below, find the moment value on segment CD (MCD). 40 kr/m 75kum Im Дв ↓ Imarrow_forwardThe beam shown in the figure is made of material with a tensile strength of 24 MPa. Accordingly, determine the maximum moment (Nm) that can be applied to the beam.arrow_forward
- Two identical, simply supported beams ABand CD are placed so that they cross each other attheir midpoints (see figure). Before the uniform loadis applied, the beams just touch each other at thecrossing point.Determine the maximum bending moments(MAB )max and (MCD )max in beams AB and CD,respectively, due to the uniform load if the intensityof the load is q = 6.4 kN/m and the length of eachbeam is L = 4 m.arrow_forwardDraw the Shear Force Diagram (SFD) and Bending Moment Diagram (BMD) for a loaded simply supported beam AB = 14 m weighs 3 N shown below. Take F1 = 3 N, F2 = 5 N, CD = 2.8 m and DB = 8.4 m. (- F1 F2 D Barrow_forwardA beam with a solid homogeneous rectangular section is simply supported at A and B. A concentrated load F= 275 kilonewtons (kN) acts at point C where distance L1 (A to C) = 3.75 metres (m) and distance L2 (C to B)= 1.25 metres (m). The dimensions of the rectangular section of the beam are breadth, b=45 mm and depth d= 205 mm. Calculate the second moment of area for rectangular section of the beam about its centroidal x-axis (Ixxcentroid). Give your answer in mm4 and rounded to nearest mm4. 0000arrow_forward
- A LAB Show Transcribed Text B W L LBC X H W360 x 72 A W360x72 standard steel shape is used to support the loads shown on the beam in the figure. The shape is oriented so that bending occurs about the weak axis as shown.[P = 8 kN, w = 24 kN/m, a = 1 m, b = 5.5 m] 1.)Determine the maximum absolute value of negative moment in the beam. 2.)Determine the maximum positive moment in the beam. 3.)Determine the maximum stress at any point along the beam.arrow_forwardExplain clearly and in detailarrow_forwardThe Figure shows a loading set up similar to that of the 'Bending in Beams' laboratory experiment. E = 200 GNm-2 and I = 2 x 10-9 m4. The bending moment and the radius of curvature at any point in the beam between the support points B and Care respectively: 1 kN 1 kN B A l0.125 m 1.25 m O a. (-)12.5 kNm, 2.8 m O b.(-)125 Nm, 3.2 m OC (-)2.5 kNm, 2.4 m O d.(-)125 Nm, 1.2 marrow_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
Mechanics of Materials Lecture: Beam Design; Author: UWMC Engineering;https://www.youtube.com/watch?v=-wVs5pvQPm4;License: Standard Youtube License