A homogeneous bar AB as shown in Figure 3.3 -3 has a uniform cross - section and weighs 300 N/m. It carries a weight W at point A. The bar is held in horizontal position by a pin at B and a strut CD. 3 m B C 2.5 m 2.5 m Figure 3.3 - 3 Compute the maximum value of W if CD is a square hollow strut of outer dimension 40 mm x 40 mm with a thickness of 5 mm and allowable tensile stress of 42 MPa. Assume the pin at A is safe to carry any value of load W. Select one: O a 7.84 kN O b.9.18 kN O c. 6.24 kN O d. 10.54 kN

A homogeneous bar AB as shown in Figure 3.3 -3 has a uniform cross - section and weighs 300 N/m. It carries a weight W at point A. The bar is held in horizontal position by a pin at B and a strut CD. 3 m B C 2.5 m 2.5 m Figure 3.3 - 3 Compute the maximum value of W if CD is a square hollow strut of outer dimension 40 mm x 40 mm with a thickness of 5 mm and allowable tensile stress of 42 MPa. Assume the pin at A is safe to carry any value of load W. Select one: O a 7.84 kN O b.9.18 kN O c. 6.24 kN O d. 10.54 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 bar having a cross-sectional area of 160 mm? carries the axial loads as shown in the Figure below. Assume that the bar is suitably braced to prevent buckling and E = 70000 MPa. The length of each bars are follow: B, = 0.8 m; B, = 1.0 m; B3= 0.6 m. Determine the axial load acting on bar Bị in kN. 35KN В1 B2 ВЗ ... 10KN 15KN 30KN Determine the axial load acting on bar B2 in kN. Determine the axial load acting on bar B3 in kN. Determine the axial stress of bar B1 in MPa. Determine the axial stress of bar B2 in MPa. Determine the axial stress of bar B3 in MPa. Determine the total deformation of the bars B1, B2 and B3 in mm. Determine the deformation of the bar B in mm. Determine the deformation of the bar B2 in mm. Determine the deformation of the bar Bz in mm. 35 А 35 B 20 10
An aluminum bar having a cross-sectional area of 160 mm2 carries the axial loads as shown in the Figure below. Assume that the bar is suitably braced to prevent buckling and E = 70000 MPa. The length of each bars are follow: B1= 0.8 m; B2 = 1.0 m; B3= 0.6 m. Determine the axial load acting on bar B3 in kN. 35KN В1 B2 B3 10KN 15KN 30KN
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 519 mm2; link CE is made of steel (E = 200 GPa) and has a cross-sectional area of 619 mm?. For the 41 kN force shown, determine the deflection of B (mm) *deflection should have a negative sign if compression and positive if tension. Also, your final answer should have two decimal places 04 m 0.3 m E 0.4 m 0.2 m
Q1/ A thin-walled cantilever has a constant cross-section of uniform thickness with the dimensions shown in Figure. It is subjected to a system of point loads acting in the planes of the walls of the section in the directions shown. Calculate the direct stresses according to the basic theory of bending at the points 1,2 and 3 of the cross-section at the built-in end along the beam. 50N 2 mm 50 N 80N 2 mm 100 mm 2 36 mm 80 mm 24 mm
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 rigid bar BDE is supported by two rods AB and CD. Rod AB is made of aluminum (Eal = 70 GPa) and has a cross-sectional area of AAB= 400 mm2; Rod CD is made of steel (Esteel = 200 GPa) and has a cross-sectional area of ACD = 500 mm2. The load P = 31 kN is applied at point E as shown in the figure. [LAB = 0.3 m, LCD = 0.4 m, a = 0.2 m, b = 0.4 m] Determine the internal force of rod AB?KN Determine the displacement of point B?in mm Determine the displacement of point E?
A two member truss ABC is shown in the figure. The force (in kN) transmitted in member AB is - A 11 0.5 m 17 1pc C 1 m B 10 kN
The cantilever beam shown is an aluminum pipe that has an outside diameter of 114 mm and an inside diameter of 97.3 mm. A moment of 3 kN-m is applied at the free end. Find the rotation at the free end of the pipe. Neglect the weight of the pipe. М 33KN.m 2m Mod. of Mod. of Coeff, of Elasticity Rigidity G Thermal Ultimate Strength Density kg /m3 x 10 Tensile Yield Strength F, MPa Expansion a m/m/C x 10-6 Poisson's MPa MPa MPa Ratio Material x 10 x 10 Tens. Comp. Shear Steel ASTM A36 or A501 7.85 207 83 250 400 11.7 0.25 Steel (high-strength low-alloy) ASTM A992 7.85 207 83 345 450 11.7 0.25 Steel AISI 1020 hot-rolled 7.85 207 79.3 210 380 11.7 0.25 Steel AISI 1040 hot-rolled 7.85 207 79.3 290 520 11.7 0.25 Stainless steel 7.85 200 80 280 580 410 11.7 0.25 (annealed) Cast iron (gray) 7.21 103 41 140 550 220 10.6 0.26 Aluminum allov 2.64 70 28 240 260 190 23.6 0.33 6061-T6 Magnesium alloy 1.794 45 17 210 280 140 26.1 0.34 Titanium alloy 4.40 114 45 900 970 690 9.7 Nominal Outside Inside…
The force in DB of the truss shown in below figure is C 5m 2W 5m E W A B. D. 5 W tension O VW tension O 2W compression O v3 W compression
The aluminum strut is 10 mm thick and has the cross section shown. If it is subjected to a shear of V=150N, calculate the maximum shear flow in the strut. 10 mm 40 mm 10 mm B *30 mm txt-40 mm. m-1713 10 mm 10 mm 30 mm
The steel truss with E=200GPais loaded as shown in the figure. Determine the following: the following a) the deformation of member AB if the cross-sectional area is 2500mmb) the deformation of member AD if the cross-sectional area is 1800mm A 4.0m 200 KN B D 4.0m 1² 2.5m
8.10 This is steel, consisting of 9 rods that are articulated together in the nodes. There is a fixed bearing in A and a roller bearing in B. The steel is loaded with a point load, P, in the middle. The maximum permissible normal stress is oy = 200 MPa. Cross section: s9 S8 54 53 55 s1 S7 d = 40 mm S2 S6 1m 1m 1 m 1 m a) Calculate the rod forces. Express the answers with P, and state whether they are stretched or pressed. Is there any zero spells? b) Determine how large the load P can be without material breakage or buckling the spells. 3 m