The cross section of a beam loaded with V=20.1 kN is shown. Determine the shear stress at point A given that a=0.3 m, b=0.5 m, and c=0.1 m, and the moment of inertia about its horizontal neutral axis equals 0.007533 m4.

The cross section of a beam loaded with V=20.1 kN is shown. Determine the shear stress at point A given that a=0.3 m, b=0.5 m, and c=0.1 m, and the moment of inertia about its horizontal neutral axis equals 0.007533 m4.

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: Determine the maximum tensile and compressive bending stress for the beam shown. 4 kN/m 200 mm -1=…

Q: Beam cross section is shown below. If a resultant shear force, V acting at the beam cross section is…

Q: C, which is located at a distance of yC = 1.2 in. below the z centroidal axis.

A: v=200lbb=1.8ind=3.6inc=2.4int=0.15inTo-Find:-1. TA=?2.TB=?3.TC=?4.ζmax=?

Q: 2- Determine the maximum shear stress in the T-beam at point C.

A: Given Loading = 10 kN/m Total length, L = 3 + 1.5 + 1.5 m Find Maximum shear stress

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

Q: 1. Determine the maximum bending stress and maximum Horizontal shear stress for the following beam…

A: In the given problem, firstly support reactions will be calculated. Then Shear force and bending…

Q: Determine the minimum allowable height (h) in mm of the beam shown in the figure if the bending…

Q: The T-beam supports the distributed loading shown. 10 kN/m (a) At section C, determine the average…

A: Given The intensity of load over the beam, w = 10 kN/m

Q: Q1: For the given cross-section of a beam, determine the internal bending moment Mz acting about the…

Q: Determine the maximum shear stress in the T-beam at section C. Show the result on a volume element…

A: A moment of inertia is a mass of the body when a body is rotating on an axis. The moment of inertia…

Q: The beam is to be used to support the machine, which exerts the forces of 6 kip and 8 kip. If the…

A: Draw the free body diagram to represent the reaction at supports, The horizontal reaction at hinge…

Q: Q.2) Determine the largest moment M that can be applied to the cantilever beam with the…

Q: The square timber used as a railroad tie carries two uniformly distributed loads, each totaling 48…

Q: The beam shown below is subjected to the shown loads. It has a circular cross section area.…

Q: Determine the maximum shearing stress of the beam shown in the above problem (prob. #2)

A: From the moment equilibrium about the point on the right support. From the vertical equilibrium of…

Q: Prob 2. The cantilever beam below is made of steel (E200 GPa) and must support the distributed load…

Q: A simple supported beam with the cross-section shown below supports vertical loads and has a maximum…

A: A1=2×20×4 =160mm2A2=2×52×6 =624mm2A3=40×4 =160mm2 centroid y =A1Y1 +A2Y2 +A3Y3A1+A2+A3 y =160×42…

Q: Determine the maximum in-plane shear stress at point A on the cross section of the beam at section…

A: Consider the below figure: Find the moment of inertia of the cross section: Total moment of…

Q: PROBLEM 2: The steel beam loaded below has the built-up cross section as shown. Determine the…

A: Here, FBD can be represented as: Balancing horizontal forces: ∴ HA = 0 kN Balancing vertical…

Q: For the surface area shown below, determine the second moment of area, the location of the neutral…

Q: For the section shown, if a = 15 mm, b = 30 mm, h = 120 mm, I = 7646787 mm^4 and M = 30 kN.m, then…

Q: (c) the profile of the distribution of the transverse shear stress due to V at point B (d) determine…

Q: For the beam shown, a. Determine the maximum moment b. Determine the section modulus of its…

Q: The internal shear force at a certain section of an aluminum beam is 10.4 kN. If the beam has the…

Q: The 50-mm-diameter shaft is supported by journal bearings at A and B. If the pulleys C and D are…

A: Let's draw the free body diagram to show the reactions at support,

Q: Determine the normal and shear stress on section a-a that passes through the centerline at point C…

Q: For the surface area shown below, determine the second moment of area, the location of the neutral…

Q: If P = 3 kN, determine the bending stress at points A, B, and C of the cross section at section a–a.…

A: Given data: P = 3 kN To determine: Bending stress at points A, B & C along with the stress…

Q: Q4: If the T- cross section of the beam shown in the Figure (3) below has bending stress of 37 MN/m2…

Q: Determine the maximum tensile and compressive bending stresses in the beam shown. 6 kN B 120 -1.0…

A: Consider upward force & CW moment as (+)ve and downward force & CCW moment as (-)ve. Let…

Q: Determine the average normal stress and average shear stress at point C in the beam. The…

Q: 3.The bending stress at a distance (h/2) of the I-section shown below is zero. (True/False) |21

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Determine the bending maximum stress in the steel strip loaded and supported by pins as shown. 3" 5"…

Q: 3.The bending stress at a distance (h/2) of the I-section shown below is zero. (True/False)

A: Bending stress is the direct stress that acts on the beam when a large load is applied to the beam…

Q: The cantilever beam is subjected to a concentrated load of P = 37 kips. The cross-sectional…

A: Given: The load is P = 37 kips The cross section is the rectangular tube.

Q: Problem 3 Consider the cross section shown below. Knowing that the vertical internal shear force at…

A: Shear stress at a and b.

Q: For the given cross-section, if the width b = 6.6 in., the height h = 8.4 in., and the internal…

Q: The bar is subjected to a moment of M = 100 N # m. Determine the maximum bending stress in the bar…

A: Given Moment = 100 Nm D = 80 mm = 0.08 m d = 20 mm = 0.02 m t = 10 mm = 0.01 m r = 10 mm = 0.01 m To…

Q: 5. The vertical shear force acting on the cross section shown is 1800 lb. Determine the shear stress…

Q: The shear stress at the neutral axis in a beam of triangular section with a base of 40 mm and height…

A: Given data : Shear force =V V=3 KN Height=h h=20 mm Base=B B=40 mm To find : Shear stress at…

Q: The shaft is subjected to the vertical and horizontal loadings of two pulleys D and E as shown. It…

A: Draw the free body diagram in the xy plane.

Q: The composite beam in Fig. a is made of wood and reinforced with a steel strap located on its bottom…

A: Firstly transform the section into the steel bsteel=nbwood bsteel=(12/200)(150)=9mm To find out the…

Q: Determine the bending stress at point A of the beam, and the orientation of the neutral axis. Using…

A: The moment of inertia about the y' axis is given by My'=-3sin45°=-2.121 kip·ft The moment of inertia…

Q: A beam has a rectangular cross-section and is subjected to the stress the distribution is shown in…

A: Given data b=6 inh=12 in

Q: the 1m beam shown is subjected to 6 kN. if the beams has a rectangular cross section as shown where…

Q: Show that the shearing stress developed at the neutral axis of a beam with circular cross-section is…

Q: For the overhanging beam loaded as shown, determine the maximum values of flexural stress and…

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

The cross section of a beam loaded with V=20.1 kN is shown. Determine the shear stress at point A given that a=0.3 m, b=0.5 m, and c=0.1 m, and the moment of inertia about
its horizontal neutral axis equals 0.007533 m4.
0.2 m
0.2 m
0.2 m
O 133.407 kPa
O 80.044 kPa
O 26.681 kPa
O 160.088 kPa
0 13.341 kPa
O 33.352 kPa
O 6.670 KPa
O 66.704 kPa

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 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 beam is subjected to a moment M=18.1 kN-m. Determine the bending stress at point D given a=70 mm and b=150 mm. a 20 mm 20 mm 20 mm 20 mm 20 mm M 20 mm O 6.387 MPa O 6.387 kPa O 7.984 kPa O 7.984 MPa O 9.048 MPa O 11.746 MPa O 11.746 kPa O 9.048 kPa
Determine the bending moment M in the beam at the point located 0.70 m to the left of point D. The ground reactions and shear-force diagram are shown. 16.80 KN 16.80 Units: KN 2 m 22.01 kN-m 37.70 kN-m 27.44 kN-m 19.82 kN-m 24.98 kN-m 14.0 kN 16.80 2.80 2 m 42.0 KN 2.80 1m D 39.20 KN -39.20 -39.20
4. Determine the bending stress (in psi) of wire rope with drum diameter of 10 inches and wire diameter of 0.1 inch. Use E= 30,000,000 psi
Determine the absolute maximum normal stress (in unit of MPa) in the beam with external loadings shown below. The beam has a uniform square cross-section with lateral size a = 0.2 m. Note: (1) the shear and moment diagrams can be calculated by either section method or graphical method; (2) there is a concentrated load at point A and a bending moment at point C. 20 kN w = 20 kN/m Mc = = 80 kN · m || В A¬Q C y 2 m 2 m 2 m
Determine the minimum width "b" of the beam shown if the flexural stress is not to exceed 13 MPa. Answer must be in mm. Given: a = 1 m, b = 3 m, c = 1 m, P = 6 kN, %3D %3D and w = 2 kN/m. %3D P kN w kN/m c m (not scaled) komf a m b m R1 R2 240 mm
Two equal and opposite couples of magnitude M = 23 kN•m are applied to the channel-shaped beam AB. The cross-section is shown, with the length of CD as L = 133 mm. Determine the maximum compressive stress in the cross-section. (The result is accurate to one decimal place, in the unit of MPa. Please write down only the absolute value of the final result) M A M' B 180 mm L E D -36 mm 30 mm 30 mm
Determine the shear force V in the beam at the point located 4.50 m to the left of point C. The ground reactions and shear-force diagram are shown. 65.60 kN Units: KN 40.0 KN 3 m B 65.60 65.60 25,60 -31.0 KN -26.9 KN -34.9 KN -28.4 KN O -17.3 kN 7.0 kN/m 12 m @x=6.66 m 58.40 KN -58.40
Determine the maximum tensile (fot) and compressive (foc) stresses (psi) developed in the overhanging beam. The cross-section is an inverted T with the given properties 1,500 lb 3,000 lb 1,000 lb 7 in N.A. 2 in 6 ft 6 ft = 84 in R1 R2 3.
If M = 9.0 kip-ft, find the magnitude of the bending stress at a point 2.72 in. above the bottom surface of the beam. The moment of inertia about the z axis is 124.9 in.4, and the centroid of the section is located 4.7 in. above the bottom surface of the beam. M 2207 psi 1712 psi 2368 psi O 1971 psi O 1860 psi M 1 in. ↑ 6 in. 1 in. 8 in. + | .1in.
A wide flange beam as shown below is subjected to a shear force V. Using the dimensions of the cross section, determine the following quantities: a. τmax in the webb. τmin in the webc. τmax/ τaverage of the web
This laboratory focusses on the bending of a simply-supported beam, as shown in the following schematic (Figure 1). W/2 Z a 6.4mm X W/2 23mm Figure 1 the loading scheme of a beam It can be shown that for this loading case, the bending moment for a ≤ x ≤ L-a is constant and equal to Wa/2. In this experiments, a = 350 mm and L = 835 mm. Loading the beam in this way, rather than loading the beam at just one point, has two main advantages: (i) it allows a strain gauge to be placed at the top of the beam and (ii) the constant bending moment area that it creates gives better strain gauge performance when stretched or compressed. 6.4mm W/2 8mm a 38.1mm W/2 indicates strain gauge 38.1mm Figure 2 the dimensions of the cross section of the beam and the position of the strain gauges
A moment about the z-axis of 192 N-m is applied to a beam with dimensions b = 85 mm and h = 302 mm. If there are no other loads applied to the beam (My, P, Vy and Vz = 0), what is the normal stress at point F? Give your answer in kPa to two decimal places with negative indicating compression and positive indicating tension. b/4 М, h E Ihis F h/3 В M. D b/4