Determine the single uniformly distributed load in the x direction that would produce the same deformation in the y direction as the original loading for a given rectangular block with the following data: 4 inches long in the x direction, 2.5 inches long in the y direction, and 3.5 inches long in the z direction. The block is subjected to a triaxial loading of three uniformly distributed forces as follows: 52 kips tension in the x direction, 68 kips compression in the y direction, and 49 kips tension in the z direction. Given v = 0.28 and E = 30 × 10€ psi,

Determine the single uniformly distributed load in the x direction that would produce the same deformation in the y direction as the original loading for a given rectangular block with the following data: 4 inches long in the x direction, 2.5 inches long in the y direction, and 3.5 inches long in the z direction. The block is subjected to a triaxial loading of three uniformly distributed forces as follows: 52 kips tension in the x direction, 68 kips compression in the y direction, and 49 kips tension in the z direction. Given v = 0.28 and E = 30 × 10€ psi,

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter1: Introduction

Section: Chapter Questions

Problem 1.5.6P: The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular...

See similar textbooks

Similar questions

A rectangular steel block is 4 inches long in the x direction, 2 inches long in the y direction, and 3 inches long in the z direction. The block is subjected to a triaxial loading of three resultant forces as follows: 70 kips compression in the x direction, 55 kips tension in the y direction, and 48 kips tension in the z direction. If ν = 1/3 and E = 29 x 106 psi, ( a ) determine the single resultant load in the z direction that would produce the same deformation in x direction as the original loadings, ( b ) determine the single resultant load in the y direction that would produce the same deformation in z direction as the original loadings, and ( c ) determine the single resultant load in the x direction that would produce the same deformation in y direction as the original loadings.
A rectangular block is 123 mm long in the X direction, 82 mm wide in the Y direction, and 54 mm thick in the Z direction. The block is subjected to a triaxial loading of three uniformly distributed forces as follows: 200 kN tension in the X direction, 194 kN tension in the Y direction, and 222 kN compression in the Z direction. If ν = 0.3 and E = 196 GPa, determine the single uniformly distributed load in the X direction that would produce the same deformation in the Z direction as the original loading. Answer must be in kN.
A RECTANGULAR ALUMINUM BLOCK IS 40mm LONG IN THE Y DIRECTION, 20mm WIDE IN THE Z DIRECTION AND 25mm THICK IN THE X DIRECTION. IT IS SUBJECTED TO A TRIAXIAL LOADING CONSISTING OF A UNIFORMLY DISTRIBUTED FORCE OF Px=3 (COMPRESSION), Py=6 (TENSION) AND Pz=9 (COMPRESSION) IN THE X, Y AND Z DIRECTIONS RESPECTIVELY. IF THE POISSON’S RATIO = 1/4 & E = 70 GPa, DETERMINE THE STRAINS IN THE X, Y AND Z DIRECTIONS. ALSO DETRMINE A SINGLE DISTRIBUTED FORCE IN THE Y DIRECTION THE WOULD PRODUCE THE SAME X DEFORMATION AS THE ORIGINAL.
Two wooden boards are joined by cutting and gluing them together along the plane shownin the illustration. The boards have cross-sectional dimensions of 3.5” by ¾” and are subjectedto an axial tension, P, of 1870 lb.a) Determine the normal and shear stresses acting on the glued joint if  = 20o.b) For what joint angle, , will the shear stress on the glued joint be equal (in magnitude) totwice the normal stress on the joint?
Problem 1: The assembly below will be used for each problem. Lengths, diameters, and materials are provided. If the temperature when this system was assembled was 74F, what would be the stress in each cylinder at a temperature of 40F? Problem 2: If the fixed support at D were removed and the temperature change did not occur, how far would point D move if a 400 lb tension load was applied at the center of each cylinder? (Hint: what sections would you break up the assembly into to find the Normal forces?) Problem 3: Based on the results from problem 2 and the sections specified in your solution, how much would the diameter of each section shrink from the loads applied? (Hint: Look at Poisson’s ratio for each of the sections listed.
Define the terms shear stress and shear strain, illustrating your answer by meansof a simple sketch. Two circular bars, one of brass and the other of steel, are to beloaded by a shear load of 30 kN. Determine the necessary diameter of the bars (a) insingle shear, (b) in double shear, if the shear stress in the two materials must notexceed 50 MN/m2and 100 MN/m2respectively.
Nicole took a steel rod, 15.08-mm in diameter, and held snugly (but without any initial stress) between rigid walls as shown in the figures. Assuming that the steel rod has a CLTE is 12.4 ×10−6mm/mm∘C and E = 200GPa. 1) Calculate the temperature drop at which the average shear stress in the 11.78-mm diameter bolt becomes 46.387MPa.2) Calculate the normal stress on the rod3) Based on figure (a). What is the average bearing stress between the washer (21.84 mm diameter) and the wall (thickness: 19.89mm) 4) What is the average bearing stress between the bolt and clevis with a thickness of 14.34mm?
In ASTM D245, what is the length of time for duration of load assumed for strength calculations? How does changing this duration affect the allowable stress?
The rigid bar of negligible weight is pinned at O and attached to two vertical rods. Assuming thatthe rods were initially stress-free, what is the largest load P that can be applied without exceedingstresses of 150 MPa in the steel rod and 70 MPa in the bronze rod?
What maximum load P can be applied without exceeding an allowable stress of 70 MPa for aluminum or 120 MPa for steel? Can a larger load P be carried if the length of the aluminum rod is changed. the length of the steel portion being kept the same? If so, determine this length
Calculate the steel ratio that will produce a tension-controlled failure if compressivestrength f’c = 28 MPa and steel yield strength fy the answer is 0.02167 but i don't know how to solve it please help
A rectangular reinforced concrete beam has a cross-section dimensions b=400mm andoverall depth h= 800mm. The beam as shown in the image below carries asuperimposed dead load of 12 kN/m (excluding the self-Weight of the beam) andspecified live load of 20 kN/m. The beam has a compressive strength of 30Mpa andreinforcement yield strength of 400 Mpa a) What is the self weight of the beam? b) What is the modulus of elasticy and yeild strain of reinforcement