Question 4 Temperature Determine the stresses in the compound bar shown if the temperature of the bar is raised by 50°C. The left-hand part of the bar is made of solid steel circular section of diameter 20 mm and the right- hand part of solid copper of diameter 30 mm. (Hint: Calculate change in length of steel and copper due to temperature when unrestrained. For an unknown load 'P' in both steel and copper write an equation giving change in length for each and equating this to the total change in length due to temperature. After you have found P' solve for stresses.) Enel = 200 GPa, Ecoppe= 120 GPa, atel 10 x 10/"C and acopur 17 x 10 /"C. Steel Copper 200 mm 200 mm

Question 4 Temperature Determine the stresses in the compound bar shown if the temperature of the bar is raised by 50°C. The left-hand part of the bar is made of solid steel circular section of diameter 20 mm and the right- hand part of solid copper of diameter 30 mm. (Hint: Calculate change in length of steel and copper due to temperature when unrestrained. For an unknown load 'P' in both steel and copper write an equation giving change in length for each and equating this to the total change in length due to temperature. After you have found P' solve for stresses.) Enel = 200 GPa, Ecoppe= 120 GPa, atel 10 x 10/"C and acopur 17 x 10 /"C. Steel Copper 200 mm 200 mm

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 34P: In order to get his car out of the mud, a man ties one end of a rope to the front bumper and the...

See similar textbooks

Similar questions

Alarge uniform cylindrical steel rod of density =7.8g/cm3 is 2.0 m long and has a diameter of 5.0 cm. the rod is fastened to a concrete floor with its long axis vertical.what is the normal stress in the rod at the cross-section located at (a)1.0 mfrom its lower end?(b)1.5 m from the lower end?
A steel cable 2.00 m in length and with cross-sectional radius 0.350 mm is used to suspend from the ceiling a 10.0-kg model aircraft that is flying in a horizontal circle with an angular speed of 6.00 rad/s. What is the strain produced in the cable?
Normal forces of magnitude 1.0106N are applied uniformly to a spherical surface enclosing a volume of a liquid. This causes the radius of the surface to decrease from 50.000 cm to 49.995 cm. What is the bulk modulus of the liquid?
The bulk modulus of a material is 1.01011N/m2 . What fractional change in volume does a piece of this material undergo when it is subjected to a bulk stress increase of 107N/m2 ? Assume that the force is applied uniformly over the surface.
(a) When water freezes, its volume increases by 9.05% (that is, V/V0=9.05102 ). What force per unit area is water capable of exerting on a container when it freezes? (It is acceptable to use the bulk modulus of water in this problem.) (b) Is it surprising that such forces can fracture engine blocks, boulders, and the like?
Assume Youngs modulus for bone is 1.50 1010 N/m2. The bone breaks if stress greater than 1.50 108 N/m2 is imposed on it. (a) What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.50 cm? (b) If this much force is applied compressively, by how much does the 25.0-cm-long bone shorten?
Can Young’s modulus have a negative value? What about the bulk modulus?
What Is Static Equilibrium? Problems 13 are grouped. 1. C A ball is attached to a strong, lightweight rod (Fig. P14.1). The rod is supported by a horizontal pin near the top. The ball is at rest. Is the ball in static equilibrium? If not, why not? If so, which type of equilibrium is itstable, unstable, or neutral? Hint: What would happen if you displaced the ball slightly? FIGURE P14.1
A company is testing a new material made of recycled plastic for use in construction. Figure P14.48 is a graph of the stress as a function of strain for this material. Find Youngs modulus for this material and compare your result with the data for conventional building materials listed in Table 14.1.
A 15.0-in uniform ladder weighing 500 N rests against frictionless wall. The ladder makes a 60.0 angle ESI with the horizontal, (a) Find the horizontal and vertical forces the ground exerts on the base of the ladder when an 800-N firelighter has climbed 4.00 m along the ladder from the bottom, (b) If the ladder is just on the verge of slipping when the firefighter is 9.00 m from the bottom, what is the coefficient of static friction between ladder and ground?
The keystone of an arch is the stone at the top (Fig. P14.9). It is supported by forces from its two neighbors, blocks A and B. Each block has mass m and approximate length L. What can you conclude about the force exerted by each block, FA and FB, for the keystone to remain in static equilibrium? That is, show that the equilibrium conditions are satisfied by the components of the forces FAx, FAy, FBx, and FBy. Assume the arch is symmetric. FIGURE P14.9
A farmer making grape juice fills a glass bottle to the brim and caps it tightly. The juice expands more than the glass when it warms up, in such a way that the volume increases by 0.2 . Calculate the force exerted by the juice per square centimeter if its bulk modulus is 1.8109N/m2 , assuming the bottle does not break.