A pole is fixed at the base and is subjected to a linearly varying distributed force with maximum intensity of q and an axial compressive load P = 25 kips at the top (see figure). 10 ft 40-400 lb/ft Ⓡ The pole has a circular cross section with an outer diameter of 4.5 in. and an inner diameter of 4.0 in. Find the normal stresses on the surface of the pole at the base locations A and B. (Assume that the bending moment deflections. Enter your answers in ksi. Use the statics sign convention. Assume that the +x-axis is to the right.) ksi ksi %B not affected by the presence of lateral

A pole is fixed at the base and is subjected to a linearly varying distributed force with maximum intensity of q and an axial compressive load P = 25 kips at the top (see figure). 10 ft 40-400 lb/ft Ⓡ The pole has a circular cross section with an outer diameter of 4.5 in. and an inner diameter of 4.0 in. Find the normal stresses on the surface of the pole at the base locations A and B. (Assume that the bending moment deflections. Enter your answers in ksi. Use the statics sign convention. Assume that the +x-axis is to the right.) ksi ksi %B not affected by the presence of lateral

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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2.
The steel tube seen below has an outer diameter do = 60mm and an inner diameter d, = 50mm. It is subjected simultaneously to torque T = 1.5kN-m and to axial load P = 205kN. Determine: (a) the maximum in-plane shear stress and its orientation, (b) the associated normal stress and (c) sketch both on a properly oriented element.
Refer to the figure shown below, the hinged support at A is in double-shear connection while the support at B in single shear shear connection. Forces P is applied at C and F is an axial force produced from a member BD connected at B. Given data: x = 1.2 m, y = 1.5 m and z = 1.8 m. ∅ = 20 degrees. If the axial stress of BD is limited to 180 MPa, wherein BD is made of 50-mm square tubing with thickness is one-tenth of its dimension, which of the ff. most nearly gives the shearing stress of the 20- mm dia. pin at A in MPa.
Since the bending safety stress σem = 10 MPa, shear safety stress Tem = 600 kPa of the rectangular section beam given the loading status in the figure and width b = 150 mm, how much should the height h of the beam section be at least so that the stresses that will occur in the beam do not exceed the safety stress values. .
Determine the average normal stress developed ont he cross section.
2
Answer proplem 1,3 and 1.4
QUESTION 3) A horizontal beam AD is supported by an inclined strut CB and carries a load of 15 kN at joint D in the figure. The strut, which consist of two bars each of thickness 40 mm, is connected to the beam by a rivet passing through the three bars meeting at joint C. The allowable shear stress and bearing stress are t-60 MPa and o=120 MPa, respectively. a) Determine the required diameter of the rivet at the hinge C that carry safely by the given system. b) If the diameter rivet used on the support A is 20 mm check whether this rivet diameter is sufficient for the given system. 0.8m Im 0.6m 15 kN В Beam AD 20mm Strut CB 40mm 100mm 40mm 50mm 100mm Detail of joint C Detail of joint A
The solid shaft is fixed to the support at C and subjected to the torsional loadings and axial load P as shown. a. Determine the torsional shear stress at Point A (50mm from the center) and Point B (on the Surface) b. Determine the absolute maximum torsional shear stress in the shaft. c. sketch the state of stress at point A and draw its corresponding Mohr’s Circle of stress. compute the principal stresses and maximum in-plane stress. T=10.38kN-m
Q.2 A force F is applied to a rigid beam AB. The diameter of the deformable 2х X post AC is 20 mm and diameter of the deformable post BD is 10 mm. A B F= 60 (kN) and x = 1.2 (m) E=70 GPa for the posts AC and BD. 1m 1m C Calculate the followings a) Normal stresses at post AC and BD b) Normal strains at post AC and BD c) Deformations at post AC and BD d) Angle of tilt that occurs in Beam AB.
1.1
W kN/m C 0.5 m 2 m I = 41.39 (10“) m“ 15 mm N A 200 mm W=125KN/m 10 mm- 100 mm 15 mm Cross section of the beam The I-beam shown is subjected to distributed loading W | neglecting the size of the fillets and stress concentrations, a) Determine the principal stresses at C which lies at the top of the web using Mohr's circle. Show the orientation of the element subjected to the principal stresses.