Q.3 (b) A uniform cantilevered steel column with one end fixed and one end free in both directions is shown in Figure Q.3b. The actual unbraced column length is 5 m and the cross-section is an I-section as shown in Figure Q.3b. The elastic modulus (E) of steel is 205 kN/mm² and the yield stress (a,) is 250 N/mm. (i) Determine the cross-sectional area and moment of inertia about the axes (i.e. In, and Iy,). (ii) Determine the allowable load that the column can support if the factor of safety is 2.0. 20 200 200 (All dimension in mm) Eigure O.h 320

Q.3 (b) A uniform cantilevered steel column with one end fixed and one end free in both directions is shown in Figure Q.3b. The actual unbraced column length is 5 m and the cross-section is an I-section as shown in Figure Q.3b. The elastic modulus (E) of steel is 205 kN/mm² and the yield stress (a,) is 250 N/mm. (i) Determine the cross-sectional area and moment of inertia about the axes (i.e. In, and Iy,). (ii) Determine the allowable load that the column can support if the factor of safety is 2.0. 20 200 200 (All dimension in mm) Eigure O.h 320

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

A small aluminum alloy [E = 62 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 220 mm. The cross-sectional dimensions of the tee shape are b = 18 mm, d = 27 mm, and t = 6 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 430 με is measured from a strain gage located at c = 6 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P
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
The pin-connected assembly consists of aluminum rods (1) and (2) and steel rod (3). The aluminum rods each have a diameter of 11 mm and an elastic modulus of E = 63 GPa. The steel rod has a diameter of 24 mm and an elastic modulus of E = 215 GPa. Assume a = 4.2 m, b = 1.4 m, and c = 1.2 m. What is the magnitude of load P that is necessary to displace point A 13 mm to the left?
A small aluminum alloy [E = 65 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 165 mm. The cross- sectional dimensions of the tee shape are b = 19 mm, d = 29 mm, and t = 7 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 480 µɛ is measured from a strain gage located at c = 5 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P? P 3P |1 Strain gage- d D E 2 H b Answer: P= i N
A small aluminum alloy [E = 76 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 180 mm. The cross-sectional dimensions of the tee shape are b = 24 mm, d = 36 mm, and t = 4 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 430 με is measured from a strain gage located at c = 10 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P?
A small aluminum alloy [E = 62 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 185 mm. The cross-sectional dimensions of the tee shape are b = 22 mm, d = 33 mm, and t = 7 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 400 με is measured from a strain gage located at c = 9 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P?
two rods attached to a rigid bar AB with negligible mass . A 101 kN load was applied at the end of this bar. The computed stresses for steel and bronze are Blank 1 mPa and Blank 2 mPa respectively.
A small aluminum alloy [E = 65 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 125 mm. The cross-sectional dimensions of the tee shape are b = 15 mm, d = 23 mm, and t = 9 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 460 µɛ is measured from a strain gage located at c = 9 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P? P 3P Strain gage D E H b. Answer: P = i 29254 N
The rectangular steel plate in the figure is forced by the forces given at the A and B points. a) Size the cross section according to the most economical section ratio a / b = 1/2. b) Calculate the amount of deformation occurring in the rod in this case. The yield stress of the steel plate can be taken as 400 Mpa, the modulus of elasticity 2.10 ^ 5 Mpa, the safety coefficient of the design can be taken as 2. F = 3kN L = 1.5m
ProbleT = - An aluminum bar has diameter d = 40 mm, shear modulus of elasticity G = 27 GPa, and torque T = 300 N.m. (a) Determine the maximum shear, tensile, and compressive stresses in the bar, and show these stresses on sketches of properly oriented stress elements. (b) Determine the corresponding maximum strains (shear, tensile, and compressive) in the bar and show these strains on sketches of the deformed elements. |d=40 mm T= 300 N-m
Give me right solution with clear hand writing.
Determine the maximum shearing stress developed in aluminum. Determine the maximum shearing stress developed in steel. Determine the maximum shearing stress developed in bronze.