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 Z M Y 140 mm 140 mm 45⁰ 140 mm 280 mm 140 mm 140 mm

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 Z M Y 140 mm 140 mm 45⁰ 140 mm 280 mm 140 mm 140 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

2.25. A system consists of two rigid end-plates, tied together by three horizontal bars as shown in Fig. 2-42. Through a fabrication error, the central bar, ②2, is 0.0005L too short. All bars are of identical cross section and of steel having E = 210 GPa. Find the stress in each bar after the system has mechanically been pulled together so that the gap A is closed. Ans σ-35 MPa σ = 70 MPa Fig. 2-42
Note: Read the question carefully and give me right solutions according to the question. Don't miss anything.
A solid circular steel shaft of 50 mm diameter, fixed at one end, is subjected to torques as shown below. The shearing modulus of the material is 80 GPa. 500 Nm 250 Nm 500 mm 500 mm 500 mm The rotation of the free end S due to torsion is
The three equally spaced vertical rods in Fig. (a) are securely attached to a rigid horizontal bar. The two outer rods are made of an aluminum alloy, and the middle rod is steel. The cross- sectional areas of the rods are shown in the figure. Determine the residual stresses in the rods after the load P has been increased from zero to the limit load and then removed. The material properties are E = 70 GPa, Oyp = 330 M Pafor aluminum, and E = 200 GPa, Typ 290 MPa for steel. Neglect the weight of the bar. Aluminum 600 mm² Steel (a) շատ (06 Aluminum 600 mm² 250 mm 100 mm
M #1 3 ksi M # 2 6 ksi 9 ksi E FOR THE ELEMENT SHOWN, DETERMINE THE MAXIMUM NORMAL STRESS AND SHOW IT ON A PROPERLY ORIENTED ELEMENT, AND DETERMINE THE MAXIMUM SHEAR STRESS AND SHOW IT ON A PROPERLY ORIENTED ELEMENT.
100 MPa 200 MPa 150 MPa - Change gy from 100 MPa to 139.10 MPa Determine the equivalent state of stress on an element at the same point oriented 30° clockwise with respect to the element shown. -Note: The direction of the normal force remains as-shown
4. For the state of plane stress shown, determine (a) the principal planes and the principal stresses, (b) the stress components exerted on the element obtained by rotating the given element counterclockwise through 30°. 60 MPa 100 MPa 48 MPa
The state of stress at a critical section is shown in Fig. Determine the state of stress on the element inclined at an angle of 30° clockwise from the x-axis. Represent these stresses on the element. 50 MPa - 100 MPa 25 MPa
A circular steel tube of length L = 1.5 m is loaded in torsion by torques T (see figure). T r2 (a) If the inner radius of the tube is r, = 41 mm and the measured angle of twist between the ends is 0.5°, what is the shear strain y, (in radians) at the inner surface? (Enter the magnitude.) rad (b) If the maximum allowable shear strain is 0.00026 rad and the angle of twist is to be kept at 0.45° by adjusting the torque T, what is the maximum permissible outer radius (r,)may (in mm)? mm Enter a number.
85 In a pure shear condition, the maximum value of shear stress is observed to be 20 MPa for an element shown, subjected to above condition. The change in length of diagonal AB is μm. [Take G = 80 GPa] [Correct upto 2 decimal places] D 10 cm A 10 cm B () C
The cantilever beam, whose loading condition and cross-section are given in the figure, is ideal elasto-plastic and yield stressσA = 240 MPa.a) Draw the T and M diagrams.b) The PA force that will start flowing in the beam,c) Calculate the PG force that will cause collapse in the beam.
Q-5: For the element with stresses as shown below, find: a. The magnitudes and directions of major and minor principal stresses b. The shear and normal stresses acting on a horizontal plane as shown below 8kPa 2kPa 75° 75° экра TH Jon OH 4kPa 30° Horizontal plane