A RECTANGULAR ALUMINUM BLOCK IS 110mm LONG IN THE X DIRECTION, 70mm WIDE IN THE Y DIRECTION AND 85mm THICK IN THE Z DIRECTION. IT IS SUBJECTED TO A TRIAXIAL LOADING CONSISTING OF A UNIFORMLY DISTRIBUTED FORCE OF 210 KN (COMPRESSION), 170 KN (TENSION) AND 230 KN (COMPRESSION) IN THE X, Y AND Z DIRECTIONS RESPECTIVELY. IF THE POISSON'S RATIO 1/4 & E= 72 GPa, DETERMINE THE STRAINS IN THE X, Y AND Z DIRECTIONS. ALSO DETERMINE A SINGLE DISTRIBUTED FORCE IN THE Y DIRECTION THE WOULD PRODUCE THE SAME Z DEFORMATION AS THE ORIGINAL. =

A RECTANGULAR ALUMINUM BLOCK IS 110mm LONG IN THE X DIRECTION, 70mm WIDE IN THE Y DIRECTION AND 85mm THICK IN THE Z DIRECTION. IT IS SUBJECTED TO A TRIAXIAL LOADING CONSISTING OF A UNIFORMLY DISTRIBUTED FORCE OF 210 KN (COMPRESSION), 170 KN (TENSION) AND 230 KN (COMPRESSION) IN THE X, Y AND Z DIRECTIONS RESPECTIVELY. IF THE POISSON'S RATIO 1/4 & E= 72 GPa, DETERMINE THE STRAINS IN THE X, Y AND Z DIRECTIONS. ALSO DETERMINE A SINGLE DISTRIBUTED FORCE IN THE Y DIRECTION THE WOULD PRODUCE THE SAME Z DEFORMATION AS THE ORIGINAL. =

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

A rectangular steel block is 3.2 inches long in the x-direction, 2.9 inches long in the y-direction, and 4.5 inches long in the z-direction. The block is subjected to a tri-axial loading of three uniformly distributed forces as follows: 48 kips tension in the x-direction, 65 kips compression in the y-direction, and 54 kips tension in the z-direction. If Poisson's ratio is 0.30 and E = 29 x 106 psi, find the uniformly distributed load that must be added in the x-direction to produced no deformation in the z-direction. Your final answer should include two decimal places
A RECTANGULAR ALUMINUM BLOCK IS 110mm LONG IN THE X DIRECTION, 70mm WIDE IN THE Y DIRECTION AND 85mm THICK IN THE Z DIRECTION. IT IS SUBJECTED TO A TRIAXIAL LOADING CONSISTING OF A UNIFORMLY DISTRIBUTED FORCE OF 210 KN (COMPRESSION), 170 KN (TENSION) AND 230 KN (COMPRESSION) IN THE X, Y AND Z DIRECTIONS RESPECTIVELY. IF THE POISSON'S RATIO = 1/4 & E= 72 GPa, DETERMINE THE STRAINS IN THE X, Y AND Z DIRECTIONS. ALSO DETERMINE A SINGLE DISTRIBUTED FORCE IN THE Y DIRECTION THE WOULD PRODUCE THE SAME Z DEFORMATION AS THE ORIGINAL.
A three part bar is connected to walls at D and C and loaded as shown. Middle section AB is solid A36 steel with a 20 mm diameter (E = 200 GPa). Outer sections DA and BC are solid red brass (E = 101 GPa) with a 50 mm diameter. A previous analysis by a now departed coworker correctly determined that the internal normal stress in DA was 54.952 MPa compression. You are asked to determine the horizontal displacements of joints A and B.
3. An ASTM A36 structural steel beam 5.00 m long is placed between two rigid supports. When the temperature is 20°C, there is no stress in the bar. Compute the stress developed in the beam if the temperature rises to 45°C. Assume that the proportional limit is 235 MPa. a = 11.7 x 10-6 1/C° E = 207 GPa
Two plate are joint by five rivets of 20 mm diameter. What is the shear stress in the material if the shear forces is 18840 N O 12 N/mm2 O 20 N/mm2 O 15 N/mm2
Q4: The aluminum block has a rectangular cross section and is subjected to an axial compressive force of 8 kip. If the 1.5-in. side changed its length to 1.500132 in., determine the Poisson's ratio. Assume modulus of elasticity (E) = 10 x 10^3 ksi 1.5 in.j 2 in. 8 kip- 8 kip 3 in.-
Determine the stress in each of the two vertical rods if the temperature rises 50 °C after the load P-75 KN is applied. Neglect the deformation and mass of the horizontal bar AB. Use Ea = 75 GPa, as=23.0 um/m °C. Aa 850 mm2 Es 210 GPa, as = 11.9 um/m.°C and As 650 mm2. %3D Steel Aluminum 2.5m 3m 3m 3 m 3m 75 kN
Situation 2 For the assembly shown, determine the stress in each of the two vertical rods if the temperature rises 40°C after the load P=50 KN is applied. Neglect the deformation and the mass of the horizontal bar AB. Compute the vertical movement under the load. Steel Aluminum E=200 GPa E=70 GPa L-4m A=300 mm? a-11.7x10*/°C L-3m A=900 mm a=23x10“ /°C 3 m 3 m 3 m Situation 3
A rectangle column 500 mm x200 mm in cross-section is subjected to a compression load 1000 KN, the stress on the column is: a. 30 MPa b. 10 MPa C. 50 MPa d. 20 MPa
Problem II. An exhaust gas piping fabricated as shown is subjected to a bending moment, an internal pressure, and a torque. In points A and B, the following stresses occur due to the loading: o 63.5 MPa, B=127 MPa, = 127 MPa A.B A.B a. Determine Gmin, omax, and its direction (in degrees) from x-axis at point A. b. Determine omin, omax, and its direction (in degrees) from x-axis at point B. 1 B d O A x
A rectangular plate is subjected to uniform biaxial stress with x = 90 MPa (tension), oy = -20 MPa (compression), and ₂ = 0. The plate has original dimensions 400 X 800 X 200 mm (x X y X z) and is made of steel with E = 200 GPa and v = 0.3. What are the strains Ex, Ey, and Ez?
A 16 mm steel bar AB and a 25 mm steel bar BC support a load P = 7,500 N as shown. If E = 200 GPa, Compute the deformations of the steel bars. A B 7,500 N 6.00m C 8.00m