A solid circular pole is subjected to linearly varying distributed force with maximum intensity ao at the base and an axial compressive load P at the top (see figure).d90nFind the required diameter d of the pole (in mm) if the maximum allowable normal stress is 150 MPa. Let qo= 5.7 kN/m, P = 96 kN, and L=8 m. (Assume that the bending moments are not affected by thepresence of lateral deflections.)mm

Moment at base is given by ; M = (12 X L X qo) X (L3) M = (12 X 8 X 5.7 X 103) X (83) M = 60800 N-m

A solid circular pole is subjected to linearly varying distributed force with maximum intensity ao at the base and an axial compressive load P at the top (see figure). @ Find the required diameter d of the pole (in mm) if the maximum allowable normal stress is 150 MPa. Let qo= 5.7 kN/m, P= 96 kN, and L=8 m. (Assume that the bending moments are not affected by the presence of lateral deflections.) mm

A solid circular pole is subjected to linearly varying distributed force with maximum intensity ao at the base and an axial compressive load P at the top (see figure). @ Find the required diameter d of the pole (in mm) if the maximum allowable normal stress is 150 MPa. Let qo= 5.7 kN/m, P= 96 kN, and L=8 m. (Assume that the bending moments are not affected by the presence of lateral deflections.) 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

The cross-sectional dimensions of a beam are shown. The internal bending moment about the z centroidal axis is M₂ = +3.51 kip-ft. Assume b = 7.125 in., d = 5.25 in. and t = 0.75 in. Determine: (a) the maximum tension bending stress in the beam. (b) the maximum compression bending stress oc in the beam. Answers: (a) OT = i ) oc = i t b y K H ksi ksi.
Q .A beam has a force of 25kN through the shear centre. For the system: a) determine the second moment of area about the x - x plane and b) determine the shear stress distribution along the y - y plane for positions A to F, c) plot the shear stress distribution on a suitable graph, labelling the principal values cross-section as shown in Figure Q. The beam is subjected to a vertical shearing Centre of Gravity X y 30 mm 180 mm y A B -C.-. -E- 10mm x 5mm Figure Q: Beam cross-section 30 mm 10 mm
1. Determine the "t" parameter of cross section of the beam in the figure below (use Navier formula) and the transversal displacement of section A. The allowable stress of the beam material is considered of 100MPa. The cross section of the beam is given in the next figure. q-5KN/m M=4KNM F=3KN L1=3m L2=1m L3=1m 8t M F JA 10t 2t L1 L2 L3 2t 4t
Several torques are applied to the stepped shaft (G= 80 GPa) shown in Fig. 1. Neglect any Stress concentrations associated with the sudden change in cross-section. Determine: (a) The maximum shear stress in the shaft (b) The rotation of the end E relative to the end A. 500 N-m 300 N-m FC 30 mm 400 mm A C 150 N-m 300 mm 350 mm D 50 N-m E 450 mm 20 mm
Several torques are applied to the stepped shaft (G= 80 GPa) shown in Fig. 1. Neglect any Stress concentrations associated with the sudden change in cross-section. Determine: (a) The maximum shear stress in the shaft (b) The rotation of the end E relative to the end A. 500 N-m 300 N-m FC 30 mm 400 mm A C 150 N-m 300 mm 350 mm D 50 N-m E 450 mm 20 mm
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 17 ksi, Sy = 24 ksi, and Sxy= 16 ksi. (a) Determine the principal stresses (1 > 2) and the maximum in-plane shear stress Tmax acting at the point. (b) Find the smallest rotation angle 0, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) Answers: Opl = Op2 = Tmax = Sxy 0 ksi. ksi. ksi.
Stress in shaft due to Bending Load and Torsion. A shaft has a diameter of 4 cm. The cutting section shows in the figure is subjected to a bending moment of 2 kN-m and a torque of 2.5 kN-m. Determine: 1. The critical point of the section 2. The stress state of the critical point 3. The principal stresses and its orientation Using Morh’r and Draw Stress element transformation
Question 1 A beam is undergoing bending deformation, whose cross-section is shown in Figure Q1. a) Determine the cross-sectional properties lxx, lyy and Iy. b) Determine the direct (bending) stress distribution in the section beam, produced by a positive bending moment, M,. The cross-section is anti-symmetric with centroid at the mid-point of the vertical web. No moment is applied about the y-axis, i.e. M, = 0. 2 2 M. 2 h 2 Figure Q1
A cube of side 100 mm is subjected to an axial compressive load of 200 kN. Its lateral strain is prevented by applying uniform pressure but only one fourth of lateral strain could be prevented, then which of the following statements is/are correct? Assume E = 200 MPa and μ = 0.3. A The decrease in length in direction of load after applying pressure is 9.358 x 10-3 mm. B The uniform pressure applied has a value of 8.57 N/mm². C The uniform pressure applied has a value of 2.14 N/mm². D The increase in length in lateral direction after applying pressure is 2.25 x 10-³ mm.
Please answer the question in the picture 1.1 , and make sure you do the right work.
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?
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 37 MPa, Sy = 10 MPa, and Sxy = 41 MPa. (a) Determine the principal stresses (6,] > 6,2) and the maximum in-plane shear stress Tmax acting at the point. (b) Find the smallest rotation angle 0, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) Answers: MPa. Opl = MPa. Op2 = Tmax = MPa.