A symmetrical beam of length 300 mm is loaded with a force of 414 N downwards (positive z) and has the following equation for the vertical displacement: w (2) = - + F 48 %3D The value of E is 200,000 Nmm² and the values of ly is 20 x 10° mm“ The maximum value of z for the beam cross section is +20 mm What is the maximum tensile stress in the beam at the point when x = 86 mm?

A symmetrical beam of length 300 mm is loaded with a force of 414 N downwards (positive z) and has the following equation for the vertical displacement: w (2) = - + F 48 %3D The value of E is 200,000 Nmm² and the values of ly is 20 x 10° mm“ The maximum value of z for the beam cross section is +20 mm What is the maximum tensile stress in the beam at the point when x = 86 mm?

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

(Problems No. 1 - 3) The state plane stress at a point is represented by the stress element below. Determine the stresses acting on an element oriented 30 degree counterclockwise respect to the original element. Calculate the shearing stress at the xy-face 60 MPa 20 MPa 90 MPa O a. -55 MPa O b. 65 MPa 55 MPa O d. -65 MPa
%3D QUESTION 2. An oblique bending moment of M = 5 kN.m is applied on the cross-section of an aluminum beam as shown in the figure. (a) Calculate the maximum values of compressive and tensile normal stresses on the crss section. (b) Define the orientation of the neutral axis and draw on the cross-sectionç. M = 5 kN.m 30° 10 mm 40 mm 10 mm A-40 mm--r: 30 mm 30 mm 10 mm 10 mm
(Problems No. 1- 3) The state plane stress at a point is represented by the stress element below. Determine the stresses acting on an element oriented 30 degree counterclockwise respect to the original element. Calculate the normal stress at the x-axis 60 MPa 20 MPa 90 MPa O a. 75.25 MPa b. -39,8 MPa 69.8 MPa O d. -24.60 MPa
A uniform steel shaft has a diameter of 50 mm is fixed at ends A and B. The shear modulus of steel is 75 GPa.d) Calculate the maximum shear stress in the system in MPa. You will have to look at each individual piece of the system, so clearly indicate which segment has the maximum stress.[Ans. to check: τmax = 8.15 MPa]e) Calculate the total rotation of the shaft at point C in radians.
A symmetrical beam of length 300 mm is loaded with a force of 414 N downwards (positive z) and has the following equation for the vertical displacement: F w (x) = E, ( - +4) %3D Ely 8. The value of E is 200,000 Nmm 2 and the values of ly is 20 x 106 mm4 The maximum value of z for the beam cross section is 20 mm What is the maximum tensile stress in the beam at the point when x = 86 mm? Express your answer in Nmm2, as a number to 2 dp, without the units.
Consider the nonprismatic cantilever beam of circular cross section shown. The beam has an internal cylindrical hole in segment 1; the bar is solid (radiusr) in segment 2. The beam is loaded by a downward traingular load with maximum intensity go as shown. Linear M. 3 Segment 1 0.5 EI Segment 2 EI (a) Find expression for maximum compressive stress at point 1. (b) Find expression for maximum tensile stress at point 1.
The figure shows a beam made from a material having an allowable tensile stress of 135 MPa and a compressive stress of 165 MPa. The couple M is applied to the beam in a plane forming an angle of 45° as shown in the figure. a) Determine the location of the centroid of the cross section b) Calculate the moments of inertia about the principal axes, I, and ly c) Determine the maximum allowable internal moment M that can be applied to the beam N M Y 140 mm 140 mm 45⁰ 140 mm 280 mm 140 mm 140 mm
The cantilever T- beam is loaded as shown in the figure. 80 mm 40 kN/m NA 120 mm 2.0 m INA = 30x105 mm %3D What is the value of the flexural stress at the Neutral- Axis, NA?
PROBLEM 1: The frame shown in the figure is carrying a traingular distributed load. Pins at A and B are forced in single shear while the pin at C is forced in double shear. If the allowable tensile stress of bar BC is 300 MPa and the allowable shear stress of pins is 150MP3; (a) The cross sectional area of BC (b) The required diameters of pins A, B and C as multiples of mm. w = 8 kN/m 6 m 5 m 3 m
For a beam with the cross-section shown and loaded as shown, find the magnitude of the maximum bending stress in the beam. The moment of inertia about the z axis is 257,633 mm4, the centroid of the section is located 19.67 mm above the bottom surface of the beam, and M = 415 N-m. M (A) 66.1 MPa B) 35.9 MPa C) 48.9 MPa (D) 58.1 MPa (E) 52.1 MPa N M X 8 mm N 8 mm į 50 mm 8 mm ... 50 mm
(c) A thin, triangular plate ABC is uniformly deformed into a shape ABC', as shown by the dashed lines in the figure. Calculate (i) The normal strain along the centreline OC; (ii) The normal strain along the edge AC; and (iii) The shearing strain between the edges AC and BC. b 0-1 b B 90° 10.001b
Derive a formula for the strain energy U of the cantilever bar shown in the figure. The bar has circular cross sections and length R. It is subjected to a distributed torque of intensity z per unit distance. The intensity varies linearly from z = 0 at the free end to a maximum value z = zo at the support. Express your answer in terms of maximum value zo , length R, shear modulus G and polar moment of inertia Ip . U =