A solid brass [E = 93 GPa] axial member is loaded and supported as shown. Segments (1) and (2) each have a diameter of 23 mm and segment (3) has a diameter of 12 mm. Assume L₁ = 1.9 m, L₂= 1.3 m, L3 = 1.7 m, R = 36 kN, Q = 12 kN, and P = 24 kN. Determine: (a) the deformation of segment (2). (b) the deflection of joint D with respect to the fixed support at A. (c) the maximum normal stress in the entire axial member. (1) A L₁ R L2 L3 (3) Va D P B C

A solid brass [E = 93 GPa] axial member is loaded and supported as shown. Segments (1) and (2) each have a diameter of 23 mm and segment (3) has a diameter of 12 mm. Assume L₁ = 1.9 m, L₂= 1.3 m, L3 = 1.7 m, R = 36 kN, Q = 12 kN, and P = 24 kN. Determine: (a) the deformation of segment (2). (b) the deflection of joint D with respect to the fixed support at A. (c) the maximum normal stress in the entire axial member. (1) A L₁ R L2 L3 (3) Va D P B C

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 9 mm, and it is supported by double- shear pin connections at B and D. The pin at bracket A is a single-shear connection. The pin at B is 5 mm in diameter. Assume a = 500 mm, b = 250 mm, h = 330 mm, and 0= 65°. If the normal stress in tie rod (1) cannot exceed 200 MPa and the shear stress in pin B cannot exceed 130 MPa, determine the maximum load Pmax that can be supported by the structure. D Answer: Pmax (1) a i ● 1.418 B ● ● b kN
Determine the allowable value of force P (in Newtons), if a bar of diameter d = 32 mm and length L = 0.60 m is loaded in tension by force P. The bar has modulus E = 44 GPa and allowable normal stress of 218 MPa. The elongation of the bar must not exceed 1.8 mm.
Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If F₁ = 13 kips, F₂ = 34 kips, and the normal stress in each rod must be limited to 22 ksi, determine the minimum diameter d₁ required for rod (1). A (2) d₁ F₂ B C O 1.087 in. O 0.823 in. O 0.541 in. O 0.867 in. O 1.003 in. d₂
Problem 1: Steel rod AC (E=200GPA) having a cross sectional area of 250 mm?, jointly support the 10 kN load with spring DE having a flexibility of 0.0005mm/N and an unstretched length of 9m. Bar BCE is rigid. Assuming that there was no slack or stress in rod AC or spring DE before the load was applied; a. Determine the ratio of the deformation of rod AC to spring DE. b. Determine the force on rod AC in kN. 12m 9m E c. Determine the force on spring DE (kN). 12m 4m
A steel [E = 200 GPa] bar (1) supports beam AB. The cross-sectional area of the bar is 660 mm2. If the stress in the bar must not exceed 290 MPa and the maximum deformation in the bar must not exceed 10 mm, determine the maximum load P that may be supported by this structure. Use dimensions of a = 7 m, b = 4.2 m, and c = 9.1 m.
2 3.0 m 175 KN 2.5 m 200 KN (1) (2) 46 mm 175 kN 30 mm Problem 3 A compound axial member consists of steel (E=200 GPa) segment (1) and brass (E=120 GPa) segment (2). a) Compute the total deformation of the compound member for the loading shown (in mm). b) Sketch an internal normal force diagram c) Calculate the average axial stress in segment 2
Problem 1 A rectangular steel block is 4 inches long in the x direction, 3 inches long in the y direction, and 4 inches long in the z direction. The block is subjected to a triaxial loading of three uniformly distributed forces as follows: 48 kips tension in the x direction, 60 kips compression in the y direction, and 54 kips tension in the z direction. If v = 0.30 and E = 29 × 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. Note provide a diagram/figure.
A 13-mm-diameter steel (E = 193 GPa) rod (2) is connected to a 27-mm-wide by 10-mm-thick rectangular aluminum (E = 72 GPa) bar (1), as shown. Assume L1 = 0.74 m and L2 = 1.38 m. Determine the force P (in kN rounded to the nearest tenths) required to stretch the assembly 8.1 mm.
Please show the formula used and free body diagram A rectangular steel block is 4 inches long in the x direction, 3 inches long in the y direction, and 4 inches long in the z direction. The block is subjected to a triaxial loading of three uniformly distributed forces as follows: 48 kips tension in the x direction, 60 kips compression in the y direction, and 54 kips tension in the z direction. If ν = 0.30 and E = 29 × 106 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.
Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A1 = 4250 mm2 and an allowable normal stress of 95 MPa. Bar (2) has a cross-sectional area of A2 = 2750 mm2 and an allowable normal stress of 140 MPa. Assume x1 = 2.1 m, x2 = 3.6 m, y1 = 0.8 m, and y2 = 2.8 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress.
TEST YOUR UNDERSTANDING! Problem 1 Four wires support the rigid members CD and AB. If a 500-lb load is applied at point I, determine the angle of tilt of AB and the displacement of point A. The members were originally horizontal, each wire has a cross-sectional area of 0.5 in² and E = 29 x 106 psi. (Taken from Hibbeler, 2015) Follow these questions for your solution: 1. Draw the FBDs of bar CD and bar AB. What are the forces in the wires? Problem 2 The horizontal rigid bar is supported by bars A and B and a pin support. If the system is loaded by P₁ and P2, what would be the vertical displacement of the point of application of P₁? Follow these questions for your solution: 1) Draw the FBDs needed. What is the normal force in bar A? in bar B? 2) Draw the deformation diagram. What compatibility equation would you use to determine the displacement of the point of application of P₁? How did the horizontal bar tilt? Answer to Test your understanding box 1 Problem 1: E Problem 2: D THA 1.8 ft…
Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A1 = 3950 mm2 and an allowable normal stress of 150 MPa. Bar (2) has a cross-sectional area of A2 = 2900 mm2 and an allowable normal stress of 160 MPa. Assume x1 = 2.0 m, x2 = 3.0 m, y1 = 0.8 m, and y2 = 2.8 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress.