Q: A rigid block of negligible mass is supported by three rods as shown in figure, if a load (P) is subjected to the block, find the stress in the steel and aluminum rods. The area in addition to the properties of each material are given in Table below:

Q: A rigid block of negligible mass is supported by three rods as shown in figure, if a load (P) is subjected to the block, find the stress in the steel and aluminum rods. The area in addition to the properties of each material are given in Table below:

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.10.8P: A suspender on a suspension bridge consist of a cable that passes over the main cable (see figure)...

See similar textbooks

Related questions

Q: 2. As shown in the figure, a rigid beam with negligible mass is pinned at one end and supported by…

Q: An angle bracket ABC is restrained by a high strength steel wire CD, and it supports a load P at A,…

A: Calculate the reaction force as follows. Here, the tension in the wire CD is T.

Q: The assembly in Figure consists of a light rigid bar AB, pinned at O, that is attached to the ste…

A: Given Deflection = 5 mm Area of steel = 250 mm2 Area of aluminum = 300 mm2 Find…

Q: The young modulus of the bar, which is made of St70 steel material shown in the figure, is 210GP..…

A: Given data as per the question Young modulus of the bar =210 Gpa cross section of the bar=500…

Q: Q-4 The polymer bar shown in Figure Q-4 has a width b = 50 mm, a depth d= 100 mm, and a height h=…

Q: For the figure shown, have the following information: Bar (1) made of bronze Bar (2) made of…

Q: A homogenous rigid block subjected to the loading shown in figure is supported by three steel rod…

A: Given: Diameter of steel rod, d=25 mm

Q: For the structure shown in the figure, the working stresses are up to 16000 psi for the steel cable…

Q: A bar having two cross sectional areas is loaded by an axial force (P). Part AB and BC are circular…

Q: H.W.1: A steel bar 6 m long is 5 cm in diameter for 3m of its length and 2.5 cm in diameter for the…

Q: As shown in the figure, a rigid beam with negligible mass is pinned at one end and supported by two…

Q: The rigid horizontal bar AB is supported by three vertical wires as shown in the figure and carries…

Q: For the truss shown in Figure The cross sectional area of each member is 1000 mm2 Find the stresses…

Q: A steel tube is rigidly attached between an aluminum rod and a bronze rod as shown in the figure.…

Q: Don't waste time by submiting Wrong answer.

A: Option c is the correct answer.

Q: 1.2-10 A car having a mass of 5500 kg is pulled slowly up a steep inclined track by a steel cable…

Q: A 9 ft A = 0.5 in.2 12 ft C A = 16 in.?

A: Find the stresses in each member

Q: See the figure below. AD is a member with varying diameters. There are three axial loads applied at…

A: Given data: The magnitude of the force acting at the point B is; F1=10 lbs. The magnitude of the…

Q: Q1: The horizontal rigid beam ABCD is supported by vertical bars BE and CF and is loaded by vertical…

Q: 4. The bar ABCD shown in Figure 4 is made up of solid circular rods welded together and is rigidly…

Q: Example: 5 A rigid bar AB, 9 m long, is supported by two vertical rods at its end and in a…

Q: A long, slender bar in the shape of a rightcircular cone with length L and base diameter dhangs…

A: Given Ny = axial force acting on element dy Ay = cross-sectional area at element dy AB =…

Q: An alloy steel bar with a yield stress of 250 MPa and Young's modulus of 200 GPa, is loaded and…

A: Given that: Yield stress of the material = 250 MPa Young's modulus = 200 GPa Diameter of AB =…

Q: In the figure, one end of a uniform beam of weight 130 N is hinged to a wall; the other end is…

Q: The horizontal rigid beam ABCD is supportedby vertical bars BE and CF and is loaded byvertical…

A: Given E = 200 GPa Area, ABE= 11,100 mm2 ACF = 9280 mm2. Find Deflections

Q: Example: 4 A prismatic steel bar having cross sectional area of A=300 mm? is subjected to axial load…

A: A per given question A=300mm2 E=2×103mpa We have determine increse the length of bar

Q: An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in figure. Axial…

Q: For the truss shown in Figure The cross sectional area of each member is 1000 mm? 3 m Find the…

A: For the given truss Cross-sectional area (A) of each member = 1000 mm2 To determine Stresses in…

Q: The rigid bar of negligible weight is supported as shown in the figure. If W=60 kN, compute the…

A: Force acting in the vertical direction is vA+Ts+TB=60⋯⋯⋯(1) Moment about point A is…

Q: As in the figure, two cylindrical rods, one steel and the other brass, are combined in C. In A and…

A: Consider the free body diagram shown below for the given beam.

Q: b) For purposes of analysis, a segment of the' crankshaft dimensions in a vehicle are represented as…

Q: The gantry crane is carrying a load of P (unit Is Newton (N)) applied at the location shown in the…

A: Beam under goes to deviation while it is bending (linear and angular deviations) linear deviation of…

Q: An angle bracket ABC is restrained by a high strength steel wire CD, and it supports a load P at A,…

Q: In the system in the figure, two rods carry the P force. a) Since the maximum stress that the rods…

Q: 3. Two rods AC & BC are connected by pins to form mechanism for supporting a vertical load P -…

A: Taking the sectional area of the rods to be same, the force must be same in the members in order for…

Q: A steel rod of length L and uniform cross sectional area A is secured between two walls, as shown in…

A: Given data: L=1.5mE=200GPaα=11.7×10-6 per °C∆T=80°C Need to determine the stress due to the change…

Q: A 3m x 3m x 76 mm thick precast slab is lifted by a crane by using cables on lift-up points provided…

Q: Consider the truss as shown in the figure and parameter table. The maximum allowable tensile force…

Q: AB rigid bar in the figure, P force acts at point B, which is articulated at point A.…

A: Given that, A1=8 cm2A2=4 cm2E1=E2=E=10 kN/cm2L=100 cm,P=13 kN, Drawing the reaction force in the…

Q: The figure below shows a simply supported prismatic beam with an applied uniform load. The labeled…

A: let length of the beam is L All points are equally spaced therefore space between two points are L4…

Q: support reaction forces

A: Given: A plane frame with load 2P as shown in Fig To determine all support reaction Forces

Q: 1,2 m -0,6 m Im Çap:50 mm The system in the figure is carried by a 50 mm diameter column. If the…

A: Solution: We need to find the critical load to prevent the column BC from buckling, since both ends…

Q: A (20°C) a rigid beam in placed upon the rods shown in figure: 1) Determine the magnitude of…

A: Write the given data with suitable variables. T1=20 °C∆T=100 °CAs=1000 mm2αs=12×10-6 /°CEs=200…

Q: Two tubular sections shown in Figure-2, have the same wall thickness and same circumference.…

A: Objective - To find the ratio of shear stresses for equal twisting moments for two cases.

Q: Problem 3 The steel rod shown in the figure is stress- free before the axial loads P1 = 150 kN and…

Q: 40 men D Steel t-200 GPa The rigid beam (ABC) supported by three bars, One from the top and two from…

Q: A steel pipe (1) is attached to an aluminum pipe (2) at flange B. Both steel pipe (1) and aluminum…

A: Given, Cross sectional Area of the pipes, A1=3600 mm2A2=2000 mm2 Lengths, L1=1.8m and L2=1.4m…

Q: A beam weighing 50 kg is attached to a pin at C and supported by a steel cable OA with Young's…

A: 1) Free body diagram of the given beam is drawn below 2) To find Tension in the steel cable OA we…

Q: . A homogeneous rod of constant cross section is attached to unyielding supports. It carries an…

Q: As shown in the figure, a column has a 10-inch by 10-inch cross section. A compressive load P with…

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

Q :A rigid block of negligible mass is supported by three rods as shown in figure, if
a load (P) is subjected to the block, find the stress in the steel and aluminum rods.
The area in addition to the properties of each material are given in Table below:
To
Given:
A,
(Gpa) (Gpa) (mm') (mm') (kN)
L.
A(mm)
E,
Ea
A
(mm)
400
0.8
190
50
800
1600
700

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 by step

Solved in 2 steps with 2 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

Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa
A suspender on a suspension bridge consist of a cable that passes over the main cable (see figure) and supports the bridge deck, which is Far below. The suspender is held in position by a metal tie that is prevented from sliding downward by clamps around the suspender cable. Let P represent the load in each part of the suspender cable, and let represent the angle of the suspender cable just above the tie. represent the allowable tensile stress in the metal tie. (a) Obtain a formula for the minimum required cross-sectional area of the lie. (b) Calculate the minimum area if P = 130 kN, = 75°, and allow=80 .
Solve the preceding problem for the following data: b = 8.0 in., k = 16 lb/in., a = 45°, and P = 10 lb.
Solve the preceding problem for sx= 11 MPa and ??y= -20 MPa (see figure).
Q # 4: rod and a bronze rod as shown in Figure. Axial loads are applied at the positions indicated. The value of P is limited to 20 KN in bronze, 72 KN in aluminum and 28 KN in steel. An aluminum rod is rigidly attached between a steel Find the area of each section that will not exceed a stress in steel of 280 MPa, in aluminum of 180 MPa, or in bronze of 200 MPа. CLO – 2 Steel Aluminum Bronze 2P P 4P 2.5 2.0 1.5
An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in Figure. Axial loads are applied at the positions indicated. The value of P is limited to 20 KN in bronze, 72 KN in aluminum and 28 KN in steel. Find the area of each section that will not exceed a stress in steel of 280 MPa, in aluminum of 180 MPa, or in bronze of 200 MPа. Steel Aluminum Bronze 2P P 4P 2.5 2.0 1.5
Q1: A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as shown in Figure. Axial loads are applied at the positions indicated. If P = 3000 lb and the cross-sectional area of the rod is 0.5 in², determine the stress in each section. 4P Steel 2 ft Aluminum 3 ft Bronze P 2.5 ft
An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in Figure. Axial loads are applied at the positions indicated. The value of P is limited to 20 KN in bronze, 72 KN in aluminum and 28 KN in steel. Find the area of each section that will not exceed a stress in steel of 280 MPa, in aluminum of 180 MPa, or in bronze of 200 MPa. Steel Aluminum Bronze 2P 4P 2.5 2.0 1.5
Q#4: An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in Figure. Axial loads are applied at the positions indicated. The value of P is limited to 20 KN in bronze, 72 KN in aluminum and 28 KN in steel. Find the area of each section that will not exceed a stress in steel of 280MP2, in aluminum of 180MPA, or in bronze of 200 MPa. wwww Steel Aluminum Bronze 2P P 4P 2.5 2.0 1.5
1-A bar of square cross section is subjected to point loads of P1, P2, P3 and P4 as shown here. Find the magnitude of the force P3 necessary for the equilibrium, if P1= 110 kN, P2 = 210 kN & P4 = 190 kN. Also, determine the stresses in each section & the net change in the length of steel bar. square of size a1=50mm, L1=30 cm, size a2 = 40mm, L2=39 cm, size a3=50 mm & L3 =32 cm Take E = 166 GPa. The force P3 to make it to equilibrium in kN is The Stress in section 1 in N/mm2 is The Compressive Stress in section 2 in N/mm2 is The stress in section 3 in N/mm2 is The total change in length in x10-3 mm is
Q1: A circular steel rod ABCD is loaded as shown below. Use the following data to Find the maximum stress and the deformation (AL) of the rod. Take E = 200 GPa. A L1 + Dia. 1 B В P1 L2 Dia. 2 P2 L3 D 30 mm o P3 Dia. 1 Dia. 2 P1 P2 P3 L1 L2 L3 (mm) (mm) (kN) (kN) (kN) (mm) (mm) (mm) 60 45 105 40 25 1350 2150 1350
Time: 40 minutes Group -3 A copper rod ABCD of 800 mm cross-sectional area and 7.5 m long is subjected to forces as shown in Fig. B D P1+E P2 >P3 L2 L3 P4 L1 Find the total elongation of the bar. Take E for the bar material as 100 GPa. P2 P3 P4 L1 L2 L3 P1 Name (kN) (kN) (kN) mm mm mm (kN) 30 20 50 3500 1500 2500 علي باقر عبد الزهرة جاسم 40