A cantilever beam of length 2 m with a square section of side length 0.1 m is loaded vertically at the free end. The vertical displacement at the free end is 5 mm. The beam is made of steel with Young's modulus of 2.0 x 1011 N/m2. The maximum bending stress at the fixed end of the cantilever is (a) 20.0 MPa (b) 37.5 MPa (c) 60.0 MPa (d) 75.0 MPa

A cantilever beam of length 2 m with a square section of side length 0.1 m is loaded vertically at the free end. The vertical displacement at the free end is 5 mm. The beam is made of steel with Young's modulus of 2.0 x 1011 N/m2. The maximum bending stress at the fixed end of the cantilever is (a) 20.0 MPa (b) 37.5 MPa (c) 60.0 MPa (d) 75.0 MPa

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

The axle of the freight car is subjected to a wheel loading of P= 15 kip. if it is supported by two journal bearings at C and D, determine the maximum bending stress developed at the center of the axle, where the diameter is in 6 in.
A couple M of moment 8 kN·m acting in a vertical plane is applied to a W200 * 19.3 rolled-steel beam as shown. Determine (a) the angle that the neutral axis forms with the horizontal plane, (b) the maxi-mum stress in the beam
The wide-flange beam is subjected to the loading shown in (Figure 1). Suppose that P = 40 kN. Follow the sign convention. a) Although it is not very accurate, use the shear formula to determine the shear stress developed at point A b) Determine the principal stress σ1 at point A c) Determine the principal stress σ2 at point A
A simply supported 4-m long beam is made up of 80% grade Kato. The beam is carrying a uniform load of 12 KN/m all through out its length and a concentrated load of 800 N 1 meter from the left support. The cross-sectional area of the beam is indicated below. a. What is the moment of inertia (in mm4) of the cross-section of the beam? b. What is the value of Q (in mm3)? c. What is the actual bending stress of the beam in MPa? d. What is the actual shearing stress of the beam in MPa?
1. A 75 mm x 75 mm x 8 mm angle is used as a beam over a span of 7.0 m. It is subjected to loading of 10 kN/m acting in the vertical plane passing through the centroid of the Section Determine maximum stress induced in the section.
A simply supported beam AB = 10 m has a hollow rectangular cross-section with 16 cm as width, 23 cm as depth and inner thickness as 1 cm is subjected to a point load of 8 N & 7 N acting at C and D respectively and a uniformly distributed load (UDL) of 8 N/m starts from mid-span and ends at the right support of the beam. Determine the maximum bending stress and the bending stress at 1 cm from the top. Take AC = 1 m & CD = 1 m. Solution: i) Reaction force at B = Answer and unit for part 1 ii) Reaction Force at A = Answer and unit for part 2 iii) The distance from B at which the shear Force value changes from "-" to "+" = Answer and unit for part 3 iv) Maximum Bending Moment (Please write the Maximum bending moment valve in "Nm") = Answer and unit for part 4 v) Moment of Inertia, I = Answer and unit for part 5 vi) Maximum bending stress = Answer and unit for part 6 vii) Bending stress at 1 cm from the top =
D) If the diameter of the cross-section of the beam is 500 mm compute for the maxumum shearing stress E) ss
A simply supported beam has a concentrated load at midspan. If the beam properties are given below, what is the final stress at bottom of the beam section where the maximum moment is located and the total losses of the prestressing force is 21% (MPa) Properties: Beam width = 289 mmBeam height = 498 mmConcentrated load = 22.79 kNSpan of the beam = 9 mPrestressing force = 385 kNeccentricity = 123 mm
The rigid beam ABC is supported by a pin connection at C and by steel rod (1), which has a diameter of 7 mm. If the normal stress in rod (1) must not exceed 215 MPa, what is the maximum uniformly distributed load w that may be applied to beam ABC? Use dimensions of a = 350 mm, b = 700 mm, and c = 525.0 mm. Calculate the allowable force in rod (1).
Solve using method of consistent deformation; EI =4x10^6 KN m^2, L=3.0, Wo=20KN/m
Determine the maximum bending stress (in Pa) for the beam shown belowif P = 1297 N, T = 4437 Nm, a = 0.95 m, b = 0.99 m, c = 0.85 m, w = 50 mm, and h = 74 mm .
A 4-m span simply supported beam carries a uniformly distributed load of 45 KN/m over its entire length. The cross-section is as shown in figure. Determine the maximum bending moment along the length of the beam (in KN-m). Determine the maximum moment of area of the cross-section (in mm3). Determine the maximum shearing stress in the beam (in MPa). Determine the maximum shear force along the length of the beam (in KN). Determine the maximum bending stress in the beam. (in MPa).