The rigid bar BDE is supported by two links AB and CD. Link AB is made of aluminum (E = 70 GPa) and has a cross-sectional area of 500 mm^2; link CD is made of steel (E = 200 GPa) and has a cross-sectional area of 600 mm^2. For the 30 kN force shown, determine the deflection of B and E, respectively. 0.4 m 0.3 m B A 0.2 m OC -0.4 m 30 kN

The rigid bar BDE is supported by two links AB and CD. Link AB is made of aluminum (E = 70 GPa) and has a cross-sectional area of 500 mm^2; link CD is made of steel (E = 200 GPa) and has a cross-sectional area of 600 mm^2. For the 30 kN force shown, determine the deflection of B and E, respectively. 0.4 m 0.3 m B A 0.2 m OC -0.4 m 30 kN

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

An aluminum tube with the hexagonal cross-section shown is 2.5 ft long and has a constant wall thickness of 0.080 in. Find (a) the largest torque that the tube can carry if the shear stress is limited to 7200 psi. Use G = 4 x 106 psí for aluminum. 11.5 in 0.075 in O 6734 lb-in O 7634 lb-in O 6374 lb-in O 7346 lb-in
2. The steel bar with a cross-sectional area of 200 mm² carries the axial force at the position shown in the figure. If the modulus of elasticity of steel is 200 GPa, determine the total change in length of the bar. 12 kips 18 kips 10 kips 20 kips 3ft - 3ft-
Solve the question find support reaction
The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h= 430 mm tw= 12 mm d= 110 mm t= 9.6 mm Additionallv: • The area of each pipe is A = 3028 mm2. • The moment of inertia of the entire beam cross section about the z centroidal axis is I>= 320410000 mm4. If the beam will be subiected to a shear force of V = 110 kN, determine the shear stress at point K, located at yK = 70 mm below the z centroidal axis.
The 1154-kg uniform bar AB is suspended from two cables AC and BD each with cross-sectional area 424 mm2. Find the magnitude of P (in N) that can be safely applied to the bar if the stresses in AC and BD are limited to 148 MPa and 86 MPa, respectively. Express your answer in two decimal places.
= 29,000 For the structure and loading shown below, find the lateral deflection at the top. Use E ksi and I = 250 in4 for all members. Note that in frames, we neglect axial deformation, so you can calculate the deflection at either of the upper corners; the answer will be the same. t. 201 8K 10! 1. What is the deflection at the top in inches (two decimal places) ot
Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load P is applied to the free end of aluminum rod (3). Bronze rod (1) has an elastic modulus of E1 = 15,000 ksi and a diameter of d1 = 0.45 in. Aluminum rod (2) has an elastic modulus of E2 = 10,000 ksi and a diameter of d2 = 0.75in. Aluminum rod (3) has a diameter of d3 = 0.95in. The yield strength of the bronze is 48 ksi and the yield strength of the aluminum is 40 ksi. Assume a = 2.5 ft, b = 1.5 ft, L1 = 6 ft, L2 = 8 ft, and L3 = 3 ft.FIND: (a) Calculate the cross-sectional areas of the three rods.(b) For a factor of safety of 1.9, calculate the allowable stresses in the bronze and the aluminum rods. (c) On a piece of paper, sketch a free body diagram (FBD) cut through rod (3) and also a FBD of the rigid bar. Using these, find a relationship between the force in rod 1 (F1) and the applied load, P, a relationship between the force in rod 2 (F2) and the applied load, P, and also a relationship…
79. A mild steel flat of width 100 mm and thickness 12 mm is bent into an arc of a circle of radius of 10 m by applying a pure moment M. If Young's modulus E = 200 GPa, then the magnitude of M is (1) 72 Nm (2) 144 Nm (3) 216 Nm (4) 288 Nm
A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; a= 2.9 x 10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 x 10-6/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.². The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 31 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1). 6 ft 2.5 ft O 3.74 kips 4.77 kips (1) B 3 ft 8 ft 1.5 ft 2 D
Which of the following is NOT TRUE as an assumption in the elastic analysis of circular members under torsion? Circular cross sections do not warp as they twist. Twisting of the circular member results to axial strain on the shaft. The length of the shaft and its radius remain unchanged. Radial lines remain straight and radial as the cross section rotates
Give me all solutions
A 260 mm bar AB with a rectangular cross section of 17 x 30 mm, consists of two aluminium layers with cach being 6 mm thick and brazed to a centre steel layer of 5 mm thickness as shown in Figure Q3. An axial tensile force of P- 37 kN is applied to the assembly by means of a rigid end cap at B. Given that the assembly is fixed at end A and the Young's modulus of aluminium and steel are E.= 70 GPa, Es= 200 GPa, respectively, determine: i Whether this structural configuration is statically determinate or statically indeterminate, and clearly explain your reasoning. ii. The normal forces in the aluminium layers and the steel layer i. The normal stress in the aluminium layers and the steel layer. State whether the stresses are in tension or compression iv. Determine the deformation of the assembly Cross section of the bar 6 mm 5 mm 6 mm 30 mm 260 mun Aluminium. Steel- Aluminitum Nא 37 30 mm