A composite beam is made of two brass [E = 110 GPa] bars bonded to two aluminum [E = 71 GPa] bars, as shown. The beam issubjected to a bending moment of 260 N-m acting about the z axis. Using a = 10 mm, b = 85 mm, c = 20 mm, and d = 55 mm, calculate(a) the maximum bending stress in the aluminum bars.(b) the maximum bending stress in the brass bars.2AluminumCAluminumAnswers:(a) Jal=Brass-(b) Obr=iibBrass(2(2MPaOMPaE

Bending moment=260Nm a=10mm b=85mm c=20mm d=55mm

A composite beam is made of two brass [E = 110 GPa] bars bonded to two aluminum [E = 71 GPa] bars, as shown. The beam is ubjected to a bending moment of 260 N-m acting about the z axis. Using a = 10 mm, b = 85 mm, c = 20 mm, and d = 55 mm, calcul a) the maximum bending stress in the aluminum bars. b) the maximum bending stress in the brass bars. Aluminum C Aluminum Answers: Brass (a) Jal= i (b) abr= y i b Brass a d a MPa MPa

A composite beam is made of two brass [E = 110 GPa] bars bonded to two aluminum [E = 71 GPa] bars, as shown. The beam is ubjected to a bending moment of 260 N-m acting about the z axis. Using a = 10 mm, b = 85 mm, c = 20 mm, and d = 55 mm, calcul a) the maximum bending stress in the aluminum bars. b) the maximum bending stress in the brass bars. Aluminum C Aluminum Answers: Brass (a) Jal= i (b) abr= y i b Brass a d a MPa MPa

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: The minimum strain at failure in tension steel having yield stress modulus E = 200 GPa, as per Limit…

Q: 2. The tensile link shown is flat, is 5 mm. thick, and carries an axial loac a. Compute the maximum…

A: GIVEN- Axial load (P)=1350 N Thicknesss (t)= 5 mm

Q: 3. A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are e, =…

A: Given:- ∈x=0.40*10-3∈y=0.30*10-3E=110GPa=110*103N/mm2v=0.35 To find:- σx,σy

Q: 6. Value of Young's modulus of elasticity of steel if , Bulk modulus is 160 GPa and Poisson's ratio…

Q: The typical Young's modulus of steel is A 275-310 GPa B 145 - 170 GPa c) 195 - 210 GPa D) 225 - 240…

Q: Problem 2: A bronze bar is fastened between a steel bar and an aluminum bar as shown. Axial loads…

A: Est=200GPa Eal=70GPa Ebr=83GPa Overall deformation= 3mm

Q: A steel bar and an aluminum bar are bonded together as shown to form a composite beam. Knowing that…

A: Calculate the ratio of module: n=EsEawhere,Es=modulus of elasticity of steelEa=modulus of elasticity…

Q: The linear portion of the stress- strain diagram of steel is known as the Modulus of elasticity B…

Q: The composite bar shown is rigidly attached to the two supports. The left portion of the bar is…

A: cross-sectional area of copper bar (Ac) = 80 cm2cross-sectional area of aluminium bar (Aal) = 20…

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

A composite beam is made of two brass [E = 110 GPa] bars bonded to two aluminum [E = 71 GPa] bars, as shown. The beam is
subjected to a bending moment of 260 N-m acting about the z axis. Using a = 10 mm, b = 85 mm, c = 20 mm, and d = 55 mm, calculate
(a) the maximum bending stress in the aluminum bars.
(b) the maximum bending stress in the brass bars.
2
Aluminum
C
Aluminum
Answers:
(a) Jal=
Brass-
(b) Obr=
i
i
b
Brass
(2
(2
MPa
O
MPa
E

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: Given data

VIEW

Step 2: Solution

VIEW

Solution

VIEW

Step by step

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

Similar questions

True of false? The more ductile steel is, the greater will be its toughness.
The assembly shown consists of an aluminum shell (E,= 70 GPa, a, = 23.6 × 10-6rC) fully bonded to a steel core (Es = 200 GPa, as = 11.7 x 10-6rC) and the assembly is unstressed at a temperature of 20°C. Considering only axial deformations, determine the stress in the aluminum when the temperature reaches 215°C. 200 mm 20 mm Aluminum shell Steel 50 mm core The stress in the aluminum is MPa.
#2 will upvote to anyone who will answer
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 :
Problem 1 An axial force of P is applied to the center of the rigid end plate shown below. If the portion of the load carried by the aluminum plates is half the portion of the load carried by the brass core, (a) determine the value of h, (b) the total load if the stress in the brass is 50 MPa. Brass core (E = 105 GPa) Aluminum plates (E = 70 GPa) Rigid end plate 300 mm 60 mim 40 mm
4. For the composite block shown, determine (a) the value of h if the portion of the load carried by the aluminum plates is half the portion of the load carried by the brass core, (b) the total load if the stress in the brass is 80 Mpa. P Rigid end plate Aluminum Plates (E=70 GPa) Brass Core (E=105 GPa) 40 mm I h 60 mm 300 mm
Hello please help me answer this problem
REACTION OF A RIGID PLATE II A) Determine the internal and external reaction forces of a composite structure. To check the solution you will need to specify reaction components Ax, Az, Ma, Bx, Bz (body II), Cx, Cz (body III), Dx, Dz, Ex, Ez (body IV), Fx, Fz (body V), G (force transmitted by the member gj), H (force transmitted by the member hj), Kx, Kz. coefficient's are a= 1,1 b= 0,6 c=1.1
Please answer in detailed solution and explain step by step
Which of the following parameter represents principal stresses: T_a none of the available option O_X O_y 0_a
What is another term for bend? (A) flex B compress fracture D) twist E stretch
Narrow bars of aluminum are bonded to the two sides of a thick steel plate as shown. Initially, at T₁ = 70°F, all stresses are zero. Knowing that the temperature will be slowly raised to T₂ and then reduced to T₁, determine (a) the highest temperature T₂ that does not result in residual stresses, (b) the temperature T₂ that will result in a residual stress in the aluminum equal to 58 ksi. Assume aa = 12.8 x 10-6/°F for the aluminum and a = 6.5 × 10-6/°F for the steel. Further assume that the aluminum is elastoplastic with E = 10.9 × 106 psi and ay = 58 ksi. (Hint: Neglect the small stresses in the plate.) Fig. P2.121