Question 1: A member having the dimensions shown is used to resist an internal bending moment of M kNm. Determine the maximum stress in the member if the moment is applied (a) about the z axis (as shown) (b) about the y axis. Sketch the stress distribution for each case. Take: M= 95 kNm A= 205 mi mm B= 155 mm B mm Solution: The moment of inertia of the cross-section about z and y axes are 1 AB³ = (106) m² 12 Ir = 1/21 = 4 (10-³) m - BA³ M

Question 1: A member having the dimensions shown is used to resist an internal bending moment of M kNm. Determine the maximum stress in the member if the moment is applied (a) about the z axis (as shown) (b) about the y axis. Sketch the stress distribution for each case. Take: M= 95 kNm A= 205 mi mm B= 155 mm B mm Solution: The moment of inertia of the cross-section about z and y axes are 1 AB³ = (106) m² 12 Ir = 1/21 = 4 (10-³) m - BA³ M

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: The cantilever beam is supported by a fixed support at A, and subjected to the force F = 600 lb and…

Q: The aluminum machine part is subjected to a moment of M = 75 N.m. (i) Determine the bending stress…

Q: ented ass shown. Determine the stress at point would the stress be at point A if the couple M is o…

A: find the principal axis ;average moment of inertia , corresponding to the point E substitute…

Q: A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions…

Q: Below Figure shows the section of an angle purlin. A bending moment of 5 kN.m is applied to the…

Q: The simply supported beam is subjected to the force F = 700 N and the uniform distributed load w…

Q: If the allowable stress due to bending in the beam shown below is Omax = 150 MPa, is the beam able…

A: Step 1: Step 2: Step 3: Step 4:

Q: Determine the bending stress (in psi) of wire rope with drum diameter of 10 inches and wire diameter…

A: Given data Radius of curvature (R)=10 in Wire diameter (d)=0.1 in Wire radius(r)=0.05in Young…

Q: N in 1 in .9 y 12 in in D C B A -in

Q: For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment…

Q: The 40-mm diameter solid shaft ACBD is supported by two bearings at A and B. Due to the transmission…

Q: 3) For the given plate subjected to two point forces, calculate the nodal displacements and the…

A: Step 1: Step 2: Step 3: Step 4:

Q: A uniform rectangular cross-sectional horizontal beam of length 4 m and depth 150 mm rests on…

Q: A simply supported beam supports the loads shown in the figure. The cross-sectional dimensions of…

Q: Determine moment that will produce a maximum stress of 60 MPa on the cross section. To 3 significant…

Q: For the given section, (a) determine the moment of inertia about z & y-axes. (b) if the section is…

Q: For the overhang beam with the cross-section and the applied loads shown, (a) sketch the FBD of the…

A: Givenoverhanging beam as shown below

Q: The 46-mm diameter shaft is supported by a smooth thrust bearing at A and a smooth journal bearing…

A: Here we will apply the bending stress formula from the bending equation

Q: The curved member is subjected to the moment of M = 50 kN # m. Determine the percentage error…

A: Draw the diagram of the curved beam with the proper specification. Here, ri is the radius of the…

Q: The lever must exert a force of P = 3800 Ibs at B as shown. The lever lengths are a = 11 in. and b =…

A: To find : determine the minimum thickness t that can be used for the lever . Given : force P=3000lbs…

Q: A beam section has the z-axis and y-axis as the principal centroidal axes and I₂ = 15 x 106 mm and…

Q: If the I-flange beam is subjected to a shear force V 20 kN, calculate the transverse shear stress at…

A: To calculate the shear stress at a point, there is a direct formula for shear stress in which we…

Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

For the bending about z axis, c =
Mc
=
max
Iz
For the bending about y axis, c =
Mc
=
max
IT
M
kv.m
σ
max Z
11
σ
MPa
max z MPa.
m
MPa
m
MPa
M
KN-M
MPa
Gmax r MPa

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Answer:

VIEW

Explanation:

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

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 three cross-sections shown in Figure A12 have the same cross-sectional area and are subjected to the same bending moment about their horizontal axis of symmetry. Section (a) is a square section. Sections (b) and (c) are composed of two rectangular sections that are placed loosely next to each other. If a, b and are their respective maximum bending stresses on the three sections, which one of the following relations is correct? 2a 2a 2a 2a a a (a) (b) а) басть сос b) σa=0b < oc α c) ба< Gb = ос d) a= b = 0c Figure A12 (c) To Po a a
Determine the maximum positive normal bending stress that occurs in member ABC of the engine crane given the following information: Engine weight = 1500 lb Member ABC height (vertical cross sectional dimension) = 7 in Member ABC width (horizontal cross sectional dimension) = 1 in Express your answer to the nearest whole psi value. In your work, draw the shear and moment diagram for member ABC. For the question above, determine the maximum shear stress in member ABC that occurs between points A and B. Express your answer using the nearest whole psi value.
The cross-sectional dimensions of the beam are a = 4.8 in, b = 6.5 in, d=4.5 in, and t= 0.30 in. The internal bending moment about the z centroidal axis is Mz= -3.90 kip-ft. Answers both in psi
1. answer with complete solution and free body diagram
The beam in (Figure 1) is made from three boards nailed together as shown. If the moment acting on the cross section is M=650N.m determine the resultant force the bending stress produces on the top board. " 20 mm 200 mm M 25 mm 150 mm 20 mm
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
answer quickly
The beam is made from three boards nailed together as shown. If the moment acting on the cross section is M = 600 N # m, determine the maximum bending stress in the beam. Sketch a three-dimensional view of the stress distribution and cover the cross section.
The bar is subjected to a moment of M = 100 N # m. Determine the maximum bending stress in the bar and sketch, approximately, how the stress varies over the critical section.
In the figure shown, the aluminum strut has a cross-sectional area in the form of a cross. If it is subjected to the moment M= 8 kN.m: 1) determine the bending stress acting at points A and B, 2) show the results acting on a stress distribution diagram.
For the beam shown at right, determine the following: P= 1800 lb a. Maximum tensile bending stress b. Transverse shear stress at a the junction of the "TEE" (i.e., 2" above the neutral axis). c. Transverse shear stress at the neutral axis - 7.5 ft- - 7.5 ft- (a) d. Draw the stress elements -10 in. representing the state of stress at the junction of the “TEE" and at the neutral axis. | 2 in. 4 in. -N- 1600 10 in. 8 in. 42 in.k- (b)
Determine the normal force, shear force, and moment at point C. Take that P = 8 kN and M = 33 kN m. (Figure 1) Figure M B . 1 of 1 -1.5 m 1.5 m 1.5 m-1.5 m-