QUESTION 2A beam ABC is supported and loaded as shown in Figure Q2(a). The beam's cross section isshown in Figure Q2(b). If the beam is made of a material having an allowable bending stress,(Gallow)c = 120 MPa in compression and (oallow)t = 200 MPa in tension. Determine:(a) The location of the neutral axis, NA of the beam cross section.(b) The moment of inertia about the neutral axis, InA.(c) The magnitude of the maximum load P that can be applied to the beam.(d) The bending stress at point M at section a-a.PAB3 m3 m3 mFigure Q2 (a)110 mm40 mmM140 mmNA40 mm170 mm40 mm

Answered: Image /qna-images/answer/a1db5359-4f9b-4171-bb7d-ac810b47a185.jpg

am is made of a material having an allowable bending stres: n and (øallow): = 200 MPa in tension. Determine: is, NA of the beam cross section. the neutral axis, INA. um load P that can be applied to the beam. at section a-a.

am is made of a material having an allowable bending stres: n and (øallow): = 200 MPa in tension. Determine: is, NA of the beam cross section. the neutral axis, INA. um load P that can be applied to the beam. at section a-a.

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: Using moment-area method, determine the angle of rotation and deflection 10 ft from “A”. EI is…

A: Given: To find: Angle of rotation and deflection at 10ft from A

Q: Find the support reactions, draw the free-body diagram of the beams that shows the reactions and the…

Q: 2 - Use double integration to determine the elastic curve of the cantilever beam under lateral…

Q: 3. Set up necessary equations to solve for the beam reactions. Due to poor construction, roller…

Q: A log that is 2 ft in diameter is to be cut into a rectangular section for use as a simply supported…

A: Diameter of log, D = 2ft Allowable stress =8ksi Since 1ksi = 640544.53 N/ft2 Therefore Allowable…

Q: The beam is constructed of four boards, and is subjected to a moment of M=200 kip in, calculate the…

Q: Determine the resultant force stress produces on top flange A and bottom flange B then compute…

A: The moment applied is

Q: Wo 9 ft 2 in.

Q: Find the support reactions, draw the free-body diagram of the beams that shows the reactions and the…

Q: For the beam shown, use the Area Moment Method to determine in terms of W, L, E, and I: The…

A: Given Data: A simply supported beam having uniformly distributed load over half of its span as given…

Q: B. Derive the shear force equation,bending moment equation for the beam shown. Neglect the weight of…

A: Answer: 26. Reaction support at point A: 0.49 kN 28. Centroid: 7.35 (Downward direction) ...Option…

Q: Determine the support reactions for the beam on the left if w=250N/m and L=6m

A: Given:- w=250 N/mm L=6m To find:- Reaction forces

Q: 5. The beam is supported and loaded as shown. Determine the reactions at hinge A and roller B. 1…

Q: Determine the internal loads diagrams of the beam above. In the cell bellow give the value of the…

A: According to the details provided in the question, we need to calculate we need to draw SFD And BMD…

Q: Calculate the support reactions at A and B for the loaded beam. Assume P = 143 lb, w = 92 lb/ft, a =…

Q: 1. Determine the moments at B and C, then draw the moment diagram for the beam. Assume C is a fixed…

A: Solution: Given Data: *The Young's modulus is: E=200 GPa *The moment of inertia of AB section is:…

Q: The beam is supported by a roller at B and a pin at C and is subjected to the distributed load shown…

A: Given: A distributed load acting on beam which intensity is, w=180 N/m. The dimension of the beam…

Q: Calculate the support reactions at A and B for the loaded beam. Assume P = 120 lb, w = 106 lb/ft, a…

Q: A beam is made up of two identical bars AB and BC, by hinging them together at B. The end A is…

Q: Find the support reactions, draw the free-body diagram of the beams that shows the reactions and the…

Q: Take the moment of inertia about the NA, I = 2.01062 x 10-6 m4. 30 kN a 0.5 m' 0.5 m Select one: 597…

A: Given: INA=2.01062 * 10-6 m4 Cross-section solid circular diameter, d= 80 mm or 0.08 m

Q: Determine the value of El6 at the center of the beam, loaded as indicated in the following figure.

Q: A beam made of timber is required to span 5m and has dimensions of 75mm x 250mm. If the beam is…

A: The length of the beam is L=5 m=5 m×1000 mmm=5000 mm. The width of the beam is b=75 mm. The depth of…

Q: A log that is 2 ft in diameter is to be cut into a rectangular section for use as a simply supported…

Q: Determine the bending strain energy in the simply supported beam. EI is constant.

A: Evaluate the total load on the beam as follows. F=12w0×L2+12w0×L2=12w0L If the total load is…

Q: using superposition Determine A B at A & Supported by roller at B wo=300N/M al By-27 Ay-? MA=2? Im…

A: Given: The load intensity, w = 30 kN/m

Q: N C 1 in. A -1 in. M-200 kip.in 13 in 8 in in. 8 in 1 in.

A: given: M=200 kip.in Solution: The neutral axis is given as :…

Q: L = 4 P=4 Solve the following beam structure using the direct stiffness method to obtain the B.M.D P…

A: Let be F be the spring force in upward direction.

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: 6-106. Consider the general case of a prismatic beam subjected to bending moment components M, and…

A: To find: The value of constants a,b and c and show that the normal stress is…

Q: Draw the F.B.D. for the beam shown in fig and then find the reactions at A * ? 2 kN 4 kN/m L--x A 3…

A: The given beam is a cantilever beam having a few loads on it. A is a fixed end. So, it will contain…

Q: What is the reaction at A? Compute the maximum bending stress in the beam. Compute the bending…

Q: Determine the magnitude of the vertical force Cy for the cantilever beam, where P = 29 kips and M =…

A: Correct answer: (v) 29 kips

Q: Consider a simple supported beam subjected to the load shown. The beam has a solid circular…

Q: The beam is constructed of four boards, and is subjected to a moment of M=200 kip in, calculate the…

A: To find : The resultant force on the top board C. Given data : The boards subjected to moment is…

Q: The cantilevered beam uses a W360x79 wide-flange section and is such that L = 1.4 It is subjected to…

Q: Find the support reactions, draw the free-body diagram of the beams that shows the reactions and the…

A: .

Q: Find the support reactions, draw the free-body diagram of the beams that shows the reactions and the…

Q: Q: The following beam shows loading by two spate point loads. Find the moment in the beam ? and…

A: Find the maximum stress.

Q: Determine the bending moment of point D. The supports at A and B are journal bearings. Supply the…

Q: 20 kN 30 (kN/m) в A D 1m 1 m 2 m Continuous beam with internal hinge at B. All members have constant…

A: Given data Shear force diagram of the given beam Moment diagram of the given beam

Q: Using Castigliano's theorem, derive an expression of the bending deflection at point B. A |C |B L/2…

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

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 3

VIEW

Step by step

Solved in 3 steps with 3 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

This is my question.. Thank You Determine the slope of the beam at the pin support A . Consider only bending strain energy. EI is constant.
Determine the reactions and draw the shear and bending moment diagrams for the beams shown using the moment distribution method
using superposition at A & Supported by roller at B Vz By-27 Ay-? MA=27 A Determine A B 9m consider a beam supported by a pin and at A Soller at B to uniform distn' bated load w=SOON /m if the expression of elastic curve for Coordinates 211 21₂ are writer as viên) = 1 {ax³ + C₁+C₂] & I x1 (n) = // [by4+ (3 + ( Im Determine reaction support Ay=?? By = ?? M₁ =22 M₂=27 9=21 @ C₁ = ?? The bear is fined onside wo=380N/M с
Need correct solution. If C is the mid-point of PQ; What is the magnitude of bending moment at fixed end O?
The T-beam is made from two plates welded together as shown. Determine the maximum uniform distributed load w that can be safely supported on the beam if the allowable bending stress is allow = 159 MPa and the allowable average shear stress is Tallow = 71 MPa. [w = 11.4 kN/m] A -1.5 m -1.5 m- 200 mm T 20 mm 200 mm 20 mm
The cantilevered beam has a rectangular crosssectional area A, a moment of inertia I, and a modulus of elasticity E. If a load P acts at point B as shown, determine the displacement at B in the direction of P, accounting for bending, axial force, and shear.
Determine the variation of the radius r of the cantilevered beam that supports the uniform distributed load so that it has a constant maximum bending stress smax throughout its length.
Hwi Abeam had subjected to a postive bending moment of 5 KN.m. Thc Coss-Sedional dimensious are shown below. Draw the bending stress distribution ou the Cross- sedion. loo mm 15 mm T 3 mm
Find the bending stress at point B located at mid-span of the rod SNIM O.Scm .B 0.5m Ø 2 cm 16 N
The beam shown has an overall length L of 5.9 metres. A uniform distributed load of 7.8 kN/m is applied as shown. If the distance x is 2.3 metres, determine the magnitude (in kNm) of the reaction moment at A. Note: Do NOT include the units in your answer.
Find the bending stress at point B lo cated at 0.7 m from the left end f the beam. 25 N 6 N/m B 3 N/m 3 Cm 0-2 m 0.6m Im I cm
The beam shown has an overall length L of 6.9 metres. A uniform distributed load of 3.9 kN/m is applied as shown. If the distance x is 1.9 metres, determine the magnitude (in kNm) of the reaction moment at A. Note: Do NOT include the units in your answer.