An extruded polymer beam is subjected to a bending moment M. The length of the beam is L-760 mm. The cross-sectional dimensions of the beam are b, = 33 mm, di = 102 mm, b2 = 20 mm, dz = 20 mm, and a= 6.5 mm. For this material, the allowable tensile bending stress is 10 MPa, and the allowable compressive bending stress is 13 MPa. Determine the largest moment M that can be applied as shown to the beam.

An extruded polymer beam is subjected to a bending moment M. The length of the beam is L-760 mm. The cross-sectional dimensions of the beam are b, = 33 mm, di = 102 mm, b2 = 20 mm, dz = 20 mm, and a= 6.5 mm. For this material, the allowable tensile bending stress is 10 MPa, and the allowable compressive bending stress is 13 MPa. Determine the largest moment M that can be applied as shown to the beam.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and…

Q: Axial Load, P(kN) A 2 m long axially loaded mild steel rod of 8 mm diameter exhibits the…

Q: A plate in equilibrium is subjected to uniform stresses along its edges with magnitude Oxx= 30 MPa…

A: Given data- A plate in equilibrium under uniform stress- σxx=30 MPa,σyy=30 MPa,σzz=0 MPa, Young's…

Q: An aluminum alloy [E = 67 GPa; v=0.33; a = 23.0 × 10-6/°C] plate is subjected to a tensile load P.…

Q: polymer a bending moment M. zth of the eam Is L dimensions of the beam are b, = 33 mm, di = 102 mm,…

A: It is asked to calculate maximum moment (M) that can be applied.

Q: A copper strip (Ec= 105 GPa) and an aluminum strip (E₂ = 75 GPa) are bonded together to form the…

A: Given Data:Ecopper=105GpaEaluminum=75GpaMoment M=32 N-m It is required to calculate maximum stress…

Q: The figure shows the state of stress on the element at a point on a member. Determine the stress…

A: Normal stress about x axis, Normal stress about y axis, Shear stress, Angle, To find: Stress…

Q: A 10 cm diameter solid alumin Assume that L=0.5 m. The yiel a) Normal stress due to bending caused…

Q: 2. A steel with E = 29 000 ksi with a rectangular cross-section is bent over a rigid mandrel with R…

Q: SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and…

Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 680 mm.…

A: FIND NA :y=36×95(952)-22×22(95-7-222)36×95-22×22y=22.637mmFIND MOI…

Q: An extruded polymer beam is subjected to a bending moment M. The length of the bear is L = 500 mm.…

A: Given data Allowable tensile bendig stress = 18 MPa Allowable compressive bending stress = 9 MPa

Q: For a given steel cube section subjected to three dimensional state of principal stress. 75 N/mm ☆J…

A: For steel cube,Yield stress=250N/mm2To find the factor of safety according to maximum strain energy…

Concept explainers

Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

Question

An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 760 mm. The cross-sectional
dimensions of the beam are by = 33 mm, dg = 102 mm, b2 = 20 mm, d2 = 20 mm, and a = 6.5 mm. For this material, the allowable tensile
bending stress is 10 MPa, and the allowable compressive bending stress is 13 MPa. Determine the largest moment Mthat can be
applied as shown to the beam.
b2
a
M
dz
В
L
b1
Answer:
M= 1
N-m

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

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 6 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Determine the stress on the Bottom of Copper. (in the Unit of MPa), Determine the stress on the top of Copper.
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 880 mm. The cross-sectional dimensions of the beam are b1 = 37 mm, d1 = 86 mm, b2 = 22 mm, d2 = 22 mm, and a = 7.5 mm. For this material, the allowable tensile bending stress is 11 MPa, and the allowable compressive bending stress is 9 MPa. Determine the largest moment M that can be applied as shown to the beam.
An aluminum alloy [E = 72 GPa; v = 0.33; a= 23.0 x 10-6/°C] plate is subjected to a tensile load P. The plate has a depth of d = 245 mm, a cross-sectional area of A = 5500 mm², and a length of L = 6.0 m. The initial longitudinal normal strain in the plate is zero. After load P is applied and the temperature of the plate has been increased by AT = 69°C, the longitudinal normal strain in the plate is found to be 3340 μc. Determine: (a) the magnitude of load P. (b) the change in plate depth Ad. L P Answer: (a) P = i (b) Δd = i KN mm
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 500 mm. The cross-sectional dimensions of the beam are b₁ = 33 mm, d₁ = 109 mm, b₂ = 20 mm, d₂ = 20 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 16 MPa, and the allowable compressive bending stress is 11 MPa. Determine the largest moment M that can be applied as shown to the beam. b₂ a M B A Answer: M = L d₂ N•m b₁ d₁
As shown, an aluminium alloy construction BCD with a circular cross section is fixed at end B and affected by a force of 150 N at the free end D. The diameter of the cross-section a-a is 20 mm. The yield strength of the material is 80 MPa: a) Determine the stresses at point A of the a-a cross-section. As indicated in the picture, draw the stress element in Cartesian coordinates and specify the stress values.(b) Calculate the factor of safety, n for Tresca, and the von Mises yield criterion to see if the structure would yield based on the stresses at point A.(c) In the major stress area, draw the yield loci of both criteria and indicate the operational stress state & why is the Rankine failure criterion inappropriate for aluminium alloys?
Give me right solution with clear hand writing.
The following shaft is composed of two materials, both rigidly bonded. The data is provided in the table: Determine: The maximum torque that can be applied based on the maximum stresses of each material. The total deformation of the shaft with the torque from the previous section. The maximum torque that can be applied if the maximum deformation of the shaft is 2.50 rad.
An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown below. Axial loads are applied at the positions indicated. Find the maximum value of P in Newton that will not exceed a stress in steel of 150 MPa, in aluminum of 87 MPa, or in bronze of 97 MPa.
A steel component is subjected to alternate cyclical loading. The steel follows Basquin's law for high cycle fatigue, o, x N = C, (where the stress amplitude is in MPa). Ignore the geometric detail and assume that Marin's modifying factors are all equal to 1. You are given the minimum stress ain = -213 MPa, the maximum stress omax = 213 MPa. The material data are Tensile strength oUTS = 539 MPa, Basquin's constant c, = 875 MPa, Basquin's exponent a = 0.085. a) Calculate the stress ratio R, the stress amplitude o, in MPa and the mean stress am in MPa. The answers are acceptable with a tolerance of 0.01 for R and of 1 MPa the stresses. R: MPa MPа b) Calculate the corresponding life, in 10° cycles, (tolerance of 0.1 106 cycles) N :
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 680 mm. The cross-sectional dimensions of the beam are b1 = 33 mm, d1 = 93 mm, b2 = 20 mm, d2 = 20 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 16 MPa, and the allowable compressive bending stress is 9 MPa. Determine the %3D largest moment M that can be applied as shown to the beam. b2 M d2 d1 | A B L b1 Answer: M = i N•m
Problem 1 An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown. Axial loads are applied at the positions indicated. Aluminum Steel A=800mm2 A=1000mm2 Bronze A=700mm? 4P 2P 500mm 600mm 700mm 1. What is the maximum value of P that will not exceed the axial stress bronze of 105 MPa? 2. What is the maximum value of P that will not exceed the axial stress in aluminum of 90 MPa? 3. If P=10KN, what is the axial force to be carried by the aluminum in KN? 4. If P is 5KN, what is the axial stress of steel?
An aluminium specimen with an initial gauge diameter d, = 10 mm and gauge length, 1, = 100 mm is %3D subjected to tension test. A tensile force P= 50 kN is applied at the ends of the specimen as shown, resulting in an elongation of 1 mm in gauge length. The Poisson's ratio (µ) of the specimen is Take shear modulus of material, G = 25 GPa. Consider engineering stress-strain conditions. P