Consider a simple supported beam subjected to the load shown. The beam has a solid square cross-section with edge "a", and made of steel alloy having a yielding tensile and compressive strength of oy = 400 MPa. Determine its minimum required edge "a" for a factor of safety against yielding FS = 2.5. The area moment of inertia of that section about its neutral axis N.A. is INA = b.h3/12. 3 kN 2 kN/m 6 m +

Consider a simple supported beam subjected to the load shown. The beam has a solid square cross-section with edge "a", and made of steel alloy having a yielding tensile and compressive strength of oy = 400 MPa. Determine its minimum required edge "a" for a factor of safety against yielding FS = 2.5. The area moment of inertia of that section about its neutral axis N.A. is INA = b.h3/12. 3 kN 2 kN/m 6 m +

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

Q # 4: An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in Figure. Axial loads are applied at the positions indicated. The value of P is limited to 20 KN in bronze, 72 KN in aluminum and 28 KN in steel Find the area of each section that will not exceed a stress in steel of 280 MPa, in aluminum of 180 MPa, or in bronze of 200 MPa. CLO -2 Steel Aluminum Bronze 2P 4P 2.5 2.0 1.5
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 60 GPa] with a cross-sectional area of A1 = 870 mm?. Bar (2) is a bronze alloy [E = 92 GPa] with a cross-sectional area of Ay = 520 mm?. Assume L$=2.6 m, La=2.9 m, a=0.7 m, b= 1.3 m, and c= 1.1 m. All bars are unstressed before the load P is applied; however, there is a 3.9-mm clearance in the pin connection at A. If a load of P= 58 kN is applied at B, determine: (a) the normal stresses 01, 02, in both bars (1) and (2). (b) the normal strains € , E2, in bars (1) and (2). (c) determine the downward deflection vA of point A on the rigid bar.
The bending stress in a beam is section modulus. O(A) Inversely proportional to two times O(B) Directly proportional to O(C) Inversely proportional to O(D) None of these
A two pinned end bars AB (copper) and BC (aluminum) is subjected to a horizontal force P = 90KN applied at pin B %3D as shown in the figure, determine the horizontal displacement of pin B. Aluminum: L= 1.5m, A= 1000mm2, E= 70 GPa Copper: L= 2.0m, A= 850mm², E= 120 GPa Degree: 45° Alumaum L-15m A=1000 mm E-70 GPa >P=90 kN Copper L=2.0m Aa550 mm E=120 GPa
In the figure shown, the AB part of the rod is made from brass while the BC part is fabricated from aluminium, both parts are restrained at the ends. Find: 1) The normal stresses oAB and OBC + when the temperature is increased to 42°C. 2) The deflection at point B (SB) Brass: ab=20.9*10-6 1/°C, Eb=105GPA Aluminum: aal=23.9*10-6 1/°C, Eal=72GPA 60 mm diameter A 1.1 m B 40 mm diameter 1.3 m C Aluminum Brass
Measure the cross-section for the bending moment Md = 500kNm Mark also the fit of the steels in the cross-section Show also the difference between the guessed d and the final d [mm and %]
2. The bronze bar 3 m long with a cross-sectional area of 350mm2 is placed between two rigid walls. At a temperature of -20 oC, there is a gap of 2.2 mm. Find the temperature atwhich the compressive stress in the bar will be 30 MPa ifthe bar will experience:a. No tensile.b. With an tensile of 5,000 N.Use α = 18.0 x 10-6 /oC and E = 80 GPa.
A compressive load P is transmitted througha rigid plate to three magnesium-alloy bars that areidentical except that initially the middle bar is slightlyshorter than the other bars (see figure). The dimensionsand properties of the assembly are as follows:length L = 1.0 m, cross-sectional area of each barA = 3000mm2, modulus of elasticity E = 45 GPa,and the gap s = 1.0 mm.(a) Calculate the load P1 required to close the gap.(b) Calculate the downward displacement d of therigid plate when P = 400 kN.(c) Calculate the total strain energy U of the threebars when P = 400 kN.(d) Explain why the strain energy U is not equal toPδ / 2. Hint: Draw a load-displacement diagram.
A hollow aluminum tube is rigidly attached between steel rod and a bronze rod as shown. Axial loads are applied at the positions indicated. Find the maximum value of P that will not exceed a stress in aluminum of 80 MPa, in steel of 150 MPa or bronze of 100 MPa. Steel Aluminum Bronze А P> ЗР - 2P outside = 30 mm d inside = 20 mm d d = 16 mm d = 60 mm -100mm- -150mm- -125mm-
2. Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly connected between steel and bronze segments. What is the stress in each material given that P = 10 kN? Specify whether tension or compression. Bronze Aluminum Steel A =400 mm2 A= 600 mm2 A = 300 mm2 2P ЗР 4P P -3 m 5 m 4 m Stress in Bronze (MPa) %D Stress in Aluminum (MPa) %3D Stress in Steel (MPa)
The rigid bar AB, attached to two vertical rods as shown in Fig. is horizontalbefore the load P is applied. Determine the maximum value for P If the stress must not exceed: 160 MPa for steel and 80 MPa for Bronze. Then determine the vertical movement of P. STEEL Lm A-400 mm E-200 GPa BRONZE L-5m A-500 mm E-80 GPa 3m
Problem 3: Inside a steel tube, 2.4 meters long, 34 mm radius, and 1.5 mm thick, 32.5A circular bar made of aluminum with a radius of mm is inserted and these two materials arethey are linked together to form a cross section that will work. This cantilever beam obtained from end Ait is fixedly supported. This cantilever beam,A torque of T = 900 Nm from end B(torque) is applied. Stiffness modulus of steel, Strength= 77 GPa and the stiffness modulus of aluminum Gal = 26Since GPa is the rotation at point BWhat is the (torsion) angle? Calculate.