1. A bar under axial load is fabricated from ABS plastic (blue) reinforced with a thin layer of aluminum (gray) as shown in the cross section below. The dimensions are b = 60 mm, h = 30 mm, d = 40 mm, a = 18 mm and t = 4 mm. Assume aluminum and ABS moduli are 72 GPa and 2.2 GPa respectively. 1.1. Determine the axial stiffness S = E A of the section. HINT: when calculating by hand, develop the equation in terms of the symbolic dimensional and material variables and THEN substitute in the numerical values. This makes it much easier to spot units errors and recheck your work. 1.2. Determine the stress distribution in the section for an axial tensile load, N, = 1 kN. 1.3. What it the ratio of axial force in the aluminum to that in the ABS plastic? 1.4. If the allowable stresses in the aluminum and ABS plastic are 200 MPa and 20 MPa, respectively, what is the allowable tensile axial load N, allow for the section?

1. A bar under axial load is fabricated from ABS plastic (blue) reinforced with a thin layer of aluminum (gray) as shown in the cross section below. The dimensions are b = 60 mm, h = 30 mm, d = 40 mm, a = 18 mm and t = 4 mm. Assume aluminum and ABS moduli are 72 GPa and 2.2 GPa respectively. 1.1. Determine the axial stiffness S = E A of the section. HINT: when calculating by hand, develop the equation in terms of the symbolic dimensional and material variables and THEN substitute in the numerical values. This makes it much easier to spot units errors and recheck your work. 1.2. Determine the stress distribution in the section for an axial tensile load, N, = 1 kN. 1.3. What it the ratio of axial force in the aluminum to that in the ABS plastic? 1.4. If the allowable stresses in the aluminum and ABS plastic are 200 MPa and 20 MPa, respectively, what is the allowable tensile axial load N, allow for the section?

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: Calculate the axial deformation of the Brass cylinder section (BC) shown in Figure 8. The…

A: Cross sectional area of steel, Cross sectional area of brass, Modulus of elasticity of steel,…

Q: See the image below. A hot-rolled l-beam section has yield strength 300 MPa, ultimate ength 320 MPa.…

Q: The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading…

Q: Problem No. 1 (b) the For the built-up shape shown, determine (a) the elastic section modulus and…

A: Fy = 248 MPaDeterminea. The elastic section modulus and the yield moment. b. The plastic section…

Q: 5. A metallic top-hat stringer reinforced wing skin (function of the material A=150) has a width of…

A: The function of the material = 150Width =1.5 mUnsupported length =0.5 mApplied compressive load =120…

Q: A composite bar is made by connecting a steel bar with a length of Lst = 200 mm and an brass bar…

A: Solution- Change in length due to Temperature in Steel = L α ∆T = 200 x 12 x 10-6 x…

Q: A round aluminum alloy rod has a diameter of 12.5 mm and 1 m length. Its ultimate strength is 155…

A: Given:- Diameter of the round aluminum alloy rod = 12.5 mm Length of the aluminum rod = 1 m…

Q: 1.0 The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the…

A: The composite shaft is formed by combination different metal like copper, aluminum, steel etc.,…

Q: steel bar originally 200 mm long is pulled in tension with stress 150 MPa the magnitude of elastic…

Q: A composite beam cross section is made up of two rectangular strips. Each of (100x50) mm placed and…

A: A composite beam cross-section-To Find-The axial stress in the steel portion.

Q: A torque T-43 kip-in. is applied at end A of the composite shaft shown. Know that the modulus of…

Q: Question 1: The rubber band given below is subjected to the following tensile loading. Calculate the…

A: Allowable tensile strength of rubber, Allowable shear strength of steel, Tensile force, Width of…

Q: 2. The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the…

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

A: Given data: Allowable stress in steel =120 MPa Allowable stress in bronze=60 MPa a=1.8 m b=1.3 m…

Q: A steel column has the following properties: Modulus of elasticity, E = 200 GPa, yield strength,…

Concept explainers

Composite Construction

Composite construction is the construction of structures in which two or more materials are used. Regarding structural engineering, composite construction is a construction where two materials are bound together in a technical manner such that both the materials act as a single unit to carry and transfer the load. The motives of composite construction are to increase the structural strength, make structures more aesthetic, and provide a sustainable environment.

Question

1. A bar under axial load is fabricated from ABS plastic (blue) reinforced with a thin layer of aluminum (gray) as
shown in the cross section below. The dimensions are b = 60 mm, h = 30 mm, d = 40 mm, a = 18 mm and t = 4
mm. Assume aluminum and ABS moduli are 72 GPa and 2.2 GPa respectively.
1.1. Determine the axial stiffness S = E A of the section. HINT: when calculating by hand, develop the equation in
terms of the symbolic dimensional and material variables and THEN substitute in the numerical values. This
makes it much easier to spot units errors and recheck your work.
1.2. Determine the stress distribution in the section for an axial tensile load, N, = 1 kN.
1.3. What it the ratio of axial force in the aluminum to that in the ABS plastic?
1.4. If the allowable stresses in the aluminum and ABS plastic are 200 MPa and 20 MPa, respectively, what is the
allowable tensile axial load N1 allow for the section?
a
h
b

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

Given

Step 1

Step 2

Step 3

Trending now

This is a popular solution!

Step by step

Solved in 4 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

A composite assembly consisting of a steel [G-80 GPa] core (2) connected by rigid plates at the ends of an aluminum [G = 28 GPa] tube (1) is shown. The cross-sectional dimensions of the assembly are shown in the second figure. Assume L= 280 mm, D1-58, d1= 37 mm, d2= 20 mm. If a torque of T-800 N-m is applied to the composite assembly, determine (a) the maximum shear stress in the aluminum tube and in the steel core. (b) the rotation angle of end B relative to end A. (1) (2) B L. (1) di Answers: MPa (a) Talum = MPa Tsgeel = rad (b) P-PA =
SITUATION 1. A composite bar is made by attaching a copper rod of length 900 mm and diameter 30 mm and a brass rod of length 600 mm and diameter 45 mm as shown. A load of 20 kN is applied at 20°C. For copper, E = 120 GPa and a = 18 x 10-6/°C. For brass, E = 90 GPa and a = 20 x 10-6/°C. The temperature rises to 50°C. Copper 44.95 MPa 63.29 MPa 72.84 MPa 900 mm 40.70 MPa + What is the stress in the copper rod if the supports are unyielding? Brass - 20 kN 600 mm
The compound bar ABCD has a uniform cross-sectional area of 0.28 in2.Determine the change in length (in inches) of the bar if an axial force P = 3676 lbis applied.The moduli of elasticity are 29037 ksi for steel and 10006 ksifor aluminum. Round off the final answer to four decimal places.
Please show intermediate steps including free body diagrams, equations used, and problem setup so that your approach can be followed.
Composite beams Probelm.
The beam is made from a material that can safely support a tensile or compressive stress of 350 MPa. a) Based on this criterion, determine the largest force, F, the beam will safely support if it has the cross- section (a). b) What is the largest allowable F for cross-section (b) Recall for a rectangle: I = bh³/12 1.0 m- 60 mm 23.3 mm Figure 1 Cross-section (a) -0.63- 10 mm 10 mm 40 mm 10 mm -50 mm - Figure 2 Cross-section (b)
Problem 2: A composite shaft is composed of a solid section AB and a tubular section BC, both of which have circular cross sections. Section AB is made of steel and has a radius of 1 in. Section BC consists of a brass core, with a radius of 0.5 in, surrounded by a steel tube, with an inner radius of 0.5 in and an outer radius of 1 in. Use Gs = 11,500 ksi for steel and Gb = 5600 ksi for brass. The shaft is attached to a fixed support at A, and a torque of T = 50 ft-lb is applied at the free end C. 0.5 in 1 in 2 ft B T = 50 ft-lb 3 ft (a) Calculate the total angle of twist (magnitude only) between and C. (b) Calculate the maximum shear stress in the brass. (c) Calculate the maximum shear stress in the steel.
6:53 PM M ..39 and 300 mm long solid copper bar of 20 mm diameter (See Figure 1). The composite bar is heated 35°C above room temperature, clamped at both ends and then allowed to cool to room temperature. If the distance between the clamps is unchanged find the stress in each bar. For steel, use a = 12.5 x 100% E = 200 GPa and for Aluminum use a = 17 x × 10**; E = 130 GPa 500 m Figure Q1 Question 2 A narrow steel strip, 15 mm thick, is clad by two magnesium plates, one is 2.5 mm thick and the other is 3.5 mm thick as show in Figure 2. Calculate the change in stress in each strip for a centigrade degree rise in temperature of the compound strip. Assume perfect bonding of the strips along their length. For steel, a = 12 x 10°/°C; E = 200 GN/m². For magnesium, a = 27 x 10°/°C; E = 45 GN/m² 3.5mm 15 mm 2.5 mm Figure Q2 Question 3 A horizontal beam AD, 10 m long, carries a uniformly distributed load of 25kN/m, together with a concentrated load of 36 kN at the left-hand end A (see Figure…
SHOW COMPLETE SOLUTION AND DRAW THE FBD.
How to solve for the centroid of the composite body using the principle of moments and treat each part as a finite element of the whole figure (Show a step by step solution)
Getting measurements from Figure , determine approximate values of the following items for steel with different carbon contents. Use one system of units only as specified by the instructor.a. Yield stressb. Ultimate strengthc. Strain at failured. Effect on modulus of elasticitye. Approximate toughness. Curves may be approximated with a series of straight lines.f. Comment on the effect of increasing carbon content on items a through e above.
For the built-up shape shown, determine:A) the elastic section modulus and the yield moment (b) the plastic section modulus and the plastic moment Mp.Bending is about the x-axis, and the steel is A572 Grade 50. Fy = 345 MPa