A compound tube consists of a steel tube 150 mm internal diameter and 170 mm external diameter and a brass tube of 170 mm internal diameter and 190 mm external diameter. The two tubes are of the same length. The compound tube carries an axial load of 1000 kN. Find the stresses and the load carried by each tube and the amount it shortens. Length of each tube is 140 mm. Take Ĕ for steel as 2 x 105 N/mm² and for brass as 1 x 105 N/mm².

A compound tube consists of a steel tube 150 mm internal diameter and 170 mm external diameter and a brass tube of 170 mm internal diameter and 190 mm external diameter. The two tubes are of the same length. The compound tube carries an axial load of 1000 kN. Find the stresses and the load carried by each tube and the amount it shortens. Length of each tube is 140 mm. Take Ĕ for steel as 2 x 105 N/mm² and for brass as 1 x 105 N/mm².

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

1. A steel rod of 20 mm diameter passes centrally through a copper tube 40 mm external diameter and 30 mm internal diameter. The tube is closed at each end by rigid plates of negligible thickness. The nuts are tightened lightly home on the projected parts of the rod. If the temperature of the assembly is raised by 60°C, calculate the stresses developed in copper and steel. Take E for steel and copper as 200 GN/m² and 100 GN/m² and a for steel and copper as 12 x 10° per "C and 18 × 10° per °C. 200 A 108
A steel bar 50 mm in diameter and 2m long is sorrounded by a shell of cast iron 5mm thick. Compute the load that will compress the bar a total of 11 mm in the length of 2m. Use E of steel=200 GPa and E of Cast Iron = 100GPa.
PROBLEM 2 A tri metallic bar is uniformly compressed by an axial force P-12KN applied through a rigid end plate The bar consists of a circular steel core surrounded by brass and copper tubes. The steel core has a diameter l0mm, the brass tube has an oute diameter of 15mm and the copper tube has an outer diameter of 20mm E for steel =210Gpa, E for brass = 100GPA and E for copper is 120GPA Calculate the compressive stress of each metal due to force P
2.31 The three symmetrically placed rods support the rigid block of mass M. Before the block was attached, the rods' ends were leveled. If the rods' properties are as listed, find the maximum allowable value of M. (sw is the working stress). ow. 1.2m 1.2m 260mm 180mm Copper
1/2 Problem 1: Two solid cylindrical rods AB and BC are welded together at B and loaded as shown in. If the stress must not exceed 14OMPA in either rod, determine the smallest allowable value of the diameter of rod AB and ВС. 300mm B 40 kN 250mm - d2 30 kN
A compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the figure. Determine the maximum allowable value of P if the change in length of the bar is limited to 2 mm and the working stresses prescribed in the table are not to be exceeded. E=200 GPa A=D300mm? L=3m 2m 2 m 3m 1.5m Match each tem to a choice
A steel bar 50 mm in diameter and 2 m long is surrounded by a shell of a cast iron 5 mm thick. Compute the load that will compress the combined bar a total of 0.8 mm in the length of 2 m. For steel, E = 200 GPa, and for cast iron, E = 100 GPa. (a)Compute the capacity of the cast iron pipe. (b)Compute the capacity of the steel bar.
A steel cylinder is enclosed in a bronze sleeve, both simultaneously supports a vertical compressive load of P = 280 kN which is applied to the assembly through a horizontal bearing plate. The lengths of the cylinder and sleeve are equal. For steel cylinder: A = 7,500 mm², E = 200 GPa, and a = 11.7 x 10-6/°C. For bronze sleeve: A = 12,400 mm², E = 83 GPa, and a = 19 x 10 6/°C. Compute the stress in the bronze when the temperature is 40°C. Select one: O a. 0 O b. 37.33 MPa O c. 22.58 MPa O d. 45.24 MPa
A square plastic bar (Length Lp,side dimension Sp=193mm) is inserted inside a hollow.Square cast iron tube (length Lc=400 mm .side Sc=200ER mm ,and thickness tc=3 mm). (a) What is the required initial length Lp of the plastic bar so that ,when it is compressed by some force P the final length of bar and tube are equal to length Le and, at the same time ,the gap between plastic bar and cast iron tube is closed? (b) Compare initial and final volumes for plastic bar. Assume that Ec=170 Gpa ,Ep=2.1 GPa, vc=0.3, and vp=0.4
1. Find: (a) the stress in the Steel and Ahuminium rods after the loap P applied and the temprature raised 60 C" and (b) the displacement under the load P. Using the data in the Table below. Rod A (mm) a (um/m. C) L (m) d (m) 0 (degree) E (GPa) P (kN) Steel 500 T1.2 190 3 35 Aluminium 400 18.9 22 70 Aluminium Steel 4m 2m
An aluminum rod is rigidly attached between a steel rod and a bronze as shown. Axial loads are applied at the positions indicated. Find the stress of each rod in MPa. Steel Aluminum Bronze A- 500mm A = 400mm? A- 200mm 40KN 10KN 20KN 1.5m 2.5m 2.0m Determine the change in length of steel rod having a length of 800mm and a diameter of 6.5mm. The rod is subjected to a force P equal to 110KN. Young's Modulus is 200GPA Compute normal strain of the rod
3. A spherical pressure vessel has a D (mm) inner radius and thickness of 45mm. It is constructed by joining two hollow hemispheres connected by 10nos of 28mm dia bolts along the circumference. Working tensile stress of the vessel is 40 MPa while the tensile stress of the bolt is (o) MPa. (a) What is the maximum allowable internal pressure considering only the capacity of the bolts? (b) What is the maximum allowable internal pressure considering only the capacity of the vessel? (c) What is the maximum allowable internal pressure of the structure in Megapascals Assume: D = 761 σ = 461