Answered: If the Young's modulus and moment of…

If the Young's modulus and moment of inertia for a beam is 200 GPa and 5 x 10° m* then the kN-m flexural rigidity of the beam is given by Select one: O a. 10000 O b. 1000000 O c. 100 O d. 1000

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.10.9P

See similar textbooks

Related questions

Q: raw the S.F. and B.M. diagrams for the beam which is loaded as shown in Fig. Determine the points of…

Q: Required informetion Consider the beam and loading shown where P= 42 kips. 3 kipvt From the figures…

Q: A symmetrical Inverted T section has the following specifications : Width of the web (W) = 100…

Q: Determine the slope (0) at point B of the beam shown. E= 200 GPa, I = * 250,000,000 mm4 %3D 20 kN B…

Q: ne reason of not having solid cross sections in beams is polar moment of inertia mone of these. nass…

Q: For a beam with the cross-section shown and loaded as shown, find the magnitude of the maximum…

Q: 1) For the given hollow rectangular cross section, find: 8cm a) Moment of inertia according to x…

A: Solution: First, we need to find the location of centroid C of the given rectangular hollow cross,…

Q: The simple beam carries a concentrated load P = 15 kN. Dimension a and b are 2.5 m and 1.2 m,…

A: Given:P=15 kNa=2.5 mb=1.2 mworking stress, σ=120 MPa

Q: AT-beam is subjected to bending. If a = 382 mm, b = 207 mm, and c = 12 mm, what is %3D the area…

A: Given data: - The side a is a = 382 mm. The side b is b = 207 mm. The side c is c = 12 mm. The…

Q: ghout the beam as functions of x. 10 kip 2 kip/ft

Q: installed at a spacing s = 150 mm. Each nail can provide a resistance V= 500 N. In service, the beam…

Q: A composite beam is made of two brass [E = 92 GPa] plates bonded to an aluminum [E = 71 GPa] bar, as…

A: For solution refer below images.

Q: Find max- def. of the beam below? 20 kN 5m 15 KN/m 4m 40KN 2 m

A: A beam's deformation is often measured in terms of its deviation from its unloaded position. The…

Q: A cantilever beam is subjected to loading as shown where w = 2.8 kN/m, P = 9.4 kN, LAB = 2.3 m and…

Q: A steel cantilkuer projecting from a unitormly distributed of 20 KN/m. Yun. Find the slope and…

A: For solution refer below images.

Q: If the Young's modulus and moment of inertia for a beam is 200 GPa and 5 x 10 m then the flexural…

A: Given, E = 200 GPa = 200 × 109 PaI = 5 × 10-6 m4 Flexural rigidity is given by, D = E I= 200 ×…

Q: Q1: For the Concrete Beam shown in Fig. down , Determine For Front Cross Section Area : Ik And l,…

A: Mass moment of inertia measures a body resistance towards rotational motion. If a body have more…

Q: Beams with -cross section are more resistant to bending and deflection because they have lower area…

A: For same area the I section beam will have greater area moment of inertia as compared to a…

Q: The maximum B.M. of a cantilever beam lies at

A: A cantilever beam is beam which has one fixed support at one end and other end is free.

Q: nt C of the cantilever beam shown in th

Q: Hwi A beam with I cross-Section is Subjected to negative HiW:. bending moment M: 50 KN.m.The Cross…

Q: Determine Phe absolute maxi mm moment in the beam due to the loading below

Q: g. What is the moment of inertia (I) about the neutral axis of the section? (in in^4) h. What is…

Q: Rectangular beam. width= 15o mm. こ(So mm mammum dhean Force = 50 kN MUimum d hear sthes = 3NI mm?…

A: Problem is based on strength of material and can be solved as:

Q: (a) Determine the location and magnitude of the maximum deflection of * beam AB. (b) Assuming that…

Q: Determine flexural rigidity of the beam

A: Given; Consider a cantilever beam, having negligible mass and uniform flexural rigidity, length,l=…

Q: beam

Q: For the beam shown find the deflection at point B ft and D ft if El=2200kip.ft? by using the…

Q: The shown beam has a length of 1 m, and the moment of inertia of its cross section is 7.366*10-8 m4.…

Q: TORSION CON SIDER A BEAM CLAMPED ON ONE END AND A TOR QuE IS APPLIEO ALONG THE LENG TH ger OF THE…

Q: 5.7 For the cantilever beam shown in thể ngure, stress and its location; and (b) the bending stress…

Q: A concentrated load of 6.24 KN is appliled at the free end of a caotilever wooden beam consisting of…

Q: Two steel [E = 28000 ksi] plates are securely attached to a Southern pine [E = 2200 ksi] timber to…

A: Area moment of inertia Area moment of inertia is a geometrical property of an area which reflects…

Q: The F.B.D of the beam is 500 N 2 kN . m L. A, 500N 500 N 2 kN - m 2 kN m M Cx C, B, Option 1 Option…

A: A beam is a structural element that is supported at only a few points and has one dimension (length)…

Q: CON SIDER A BEAM CLAMPED ON DNE END TORSION AND A TOR QuE IS APPLIEO ALONG THE LENG TH OF THE BEAl.…

Q: For the wood Beam shown in Fig. down, Determine For Front Cross Section Area: And Jz If the (ly…

Q: specily n the beam measured from A. 6 kN/m

A: GIVEN:

Q: Determine the smallest moment of inertia I required for the beam shown, so that its maximum deflec-…

Q: For the beam and loading shown below, determine the beam deflection at point H. Assume that El-5.7 x…

Q: A non-symmetrical I beam is loaded by the moment shown. Determine the maximum bending stress. 1 in.…

Q: Determine the smallest moment of inertia ? required for the beam, so that its max. deflection does…

Q: The rod is constructed from two shafts for which the moment of inertia of AB is I and for BC it is…

A: Given: A cantilever beam with a loading of P at free end To find: The maximum slope and deflection

Q: No. 2 The laminated beam shown supports a uniform load of 12 kN/m. If the beam is to have a height…

A: Given Data: The magnitude of the uniformly distributed load, w=12 kN/m Length of the beam, L=4 m

Q: For the composite beam indicated, determine the radius of curvature caused by the couple of moment…

A: To find out the moment of inertia A, in2 nA, in2 y0¯ y0¯nA in3 wood 72 72 6 432 steel 2.5…

Q: (i) write bending moment expression, M(x), using the Macauley's method (ii) determine the bending…

A: Note:- As per our company guidelines we are supposed to answer only one question. Kindly repost…

Q: Hwi A beam with I cross-Section is Subjected to negative bending moment M: 50 KN.m.The Cross…

Q: consider the beam shown in . EI is constant. determine the maximum deflection of the beam.…

A: Show the free body diagram of the moment function of the beam’s cut segments as in Figure 1.

Q: The cantilever beam consists of a rectangular structural steel tube shape (E = 33000 ksi; I= 332…

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

-6
If the Young's modulus and moment of inertia for a beam is 200 GPa and 5 x 10° m* then the
kN-m
flexural rigidity of the beam is given by
Select one:
O a. 10000
O b. 1000000
O c. 100
O d. 1000

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

Answer

VIEW

Step by step

Solved in 2 steps

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

g. What is the moment of inertia (I) about the neutral axis of the section? (in in^4) h. What is the first moment of an area (Q) about the neutral axis of the section? (in in^3) i. What is the maximum shearing stress (fv) of the beam? (in psi) j. What is the maximum flexural stress (fb) of the beam? (in psi)
An I section symmetrical beamhas 200mm wide flange and overall depth of 500mm. Each flange is 25mm thickand the web is 20mm thick. Determine the maximum bending moment that should be imposed in the sectionif the tensile or the compressive stressis not to exceed 40MN/m^2 and what percentage of the moment is resisted by flange or web?
If Mz = 715 kip-ft, find the magnitude of the bending stress at a point H. For the beam cross section, assume a = 10 in. b = 14 in. d = 39 in. r = 5 in. The centroid of the cross section is located 17.9 in. below the uppermost surface of the beam. The moment of inertia about the z axis is 60436 in.4.
A beam is subjected to equal bending moments of Mz = 44 kip·ft. The cross-sectional dimensions are b1 = 6.5 in., d1 = 1.5 in., b2 = 0.90 in., d2 = 6.2 in., b3 = 2.6 in., and d3 = 1.8 in. Determine:(a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis.(b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative.(c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative.(d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative.
A beam is subjected to equal bending moments of Mz = 57 kip·ft. The cross-sectional dimensions are b1 = 8.3 in., d1 = 1.4 in., b2 = 0.90 in., d2 = 6.2 in., b3 = 2.4 in., and d3 = 1.7 in. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative.
The beam is made of southern pine for which Ep = 13 GPa. Determine the displacement at A.
A beam is subjected to equal 19.1 kip-ft bending moments. Assume ty = t2 = ty= 1 in., d = 10 in, by= 4 in., and b2 = 7 in. The cross- sectional dimensions of the beam are illustrated. Determine; (a) the distance y to the centroid (measured from the bottom), the moment of inertia & about the z axis, and the controlling section modulus S, about the z axis. (b) the bending stress O, at point H (positive if tension, negative if compression). (c) the bending stress y at point K (positive if tension, negative if compression). (d) the maximum bending stress, Omax produced in the cross section (positive if tension, negative if compression).
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
Figure (a) shows a cantilever box beam that is subjected to a pure bending momentM=3kN.m about the neutral axis (N.A) and the cross-section of a box-beam is shown inFigure (b). Determine: (a) the moment of inertia about the neutral axis, INA (b) the bending stress acting at point A and state whether it is in tension or compression (c) the bending stress acting at point B (d) the maximum bending stress in the beam
1. Determine the maximum positive bending moment in the beam in kN-m. 2. Determine the maximum shear in kN. 3. Determine the location of Neutral Axis, in mm, from the top of the section. 4. Determine the location of the centroid, in mm, from the left of the section. 5. Determine the moment of inertia of the section in x106 mm4 . 6. Determine the moment capacity of the section, kN-m, if fbcap≤300 MPa. 7. Determine the maximum flexural stress experienced by the beam in MPa. 8. Determine the maximum shearing stress in MPa at Neutral Axis. 9. Determine the spacing of rivets in mm. 10. Determine the maximum flexural stress at 1 m from the support at D to E in MPa.
A plastic beam has a cross section with dimensions of a = 2.3 in., b = 8.1 in., d = 4.6 in., and t = 0.6 in. The centroid is located c = 1.941 in. above the bottom surface of the beam, and the moment of inertia of the shape about the z centroidal axis is Iz = 33.131 in. 4. For a shear force of V = 2650 lb, what is the maximum shear stress in the beam?
A beam having a tee-shaped cross section is subjected to equal 13 kN-m bending moments, as shown. Assume bf = 95 mm, tf = 25 mm, d = 165 mm, tw = 40 mm. The cross-sectional dimensions of the beam are also shown. Determine(a) the centroid location (measured upward from the bottom), the moment of inertia about the z axis, and the controlling section modulus about the z axis.(b) the bending stress at point H (positive if tensile and negative if compressive).(c) the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section.