Asimply supported wood beam that is 13.5 m long carries a 36 kN concentrated load at B. The cross-sectional dimensions of the beam are b = 155 mm, d = 390 mm, a = 65 mm, andc= 30 mm. Section a-o is located at x= 2.3m from B. (a) At section a-a, determine the magnitude of the shear stress in the beam at point H. (b) At section a-a, determine the magnitude of the shear stress in the beam at point K. (c) Determine the maximum horizontal shear stress that occurs in the beam at any location within the entire span. (d) Determine the maximum tensile bending stress that occurs in the beam at any location within the entire length. P a 2L 3 Answer: (a) TH = kPa (b) TK = kPa (c) Tmax= kPa (d) Omax MPa

Asimply supported wood beam that is 13.5 m long carries a 36 kN concentrated load at B. The cross-sectional dimensions of the beam are b = 155 mm, d = 390 mm, a = 65 mm, andc= 30 mm. Section a-o is located at x= 2.3m from B. (a) At section a-a, determine the magnitude of the shear stress in the beam at point H. (b) At section a-a, determine the magnitude of the shear stress in the beam at point K. (c) Determine the maximum horizontal shear stress that occurs in the beam at any location within the entire span. (d) Determine the maximum tensile bending stress that occurs in the beam at any location within the entire length. P a 2L 3 Answer: (a) TH = kPa (b) TK = kPa (c) Tmax= kPa (d) Omax MPa

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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The allowable shear stress is τallow=895 psi�allow=895 psi. The supports at A� and B� are smooth
A simply supported wood beam that is 13.5 m long carries a 36 kN concentrated load at B. The cross-sectional dimensions of the beam are b- 155 mm, d- 390 mm, a - 65 mm, and c- 30 mm. Section a-a is located at x- 2.3 m from B. (a) At section a-a, determine the magnitude of the shear stress in the beam at point H. (b) At section a-a, determine the magnitude of the shear stress in the beam at point K. (c) Determine the maximum horizontal shear stress that occurs in the beam at any location within the entire span. (d) Determine the maximum tensile bending stress that occurs in the beam at any location within the entire length. |P H d a В C L 2L 3 Answer: (a) TH - 0.33 kPa (b) TK - i 0.169 kPa (c) Tmax - 0.595 kPa (d) Omax" 27.486 MPa 3
A simply supported wood beam that is 13.2 m long carries a 41 kN concentrated load at B. The cross-sectional dimensions of the bearn are b = 125 mm, d = 350 mm, a = 110 mm, and c= 35 mm. Section a-a is located at x= 2.2 m from B. (a) At section a-a, determine the magnitude of the shear stress in the beam at point H. (b) At section a-a, determine the magnitude of the shear stress in the beam at point K. (c) Determine the maximum horizontal shear stress that occurs in the beam at any location within the entirespan. (d) Determine the maximum tensile bending stress that occurs in the beam at any location within the entire length. P. a H a a B C K 2L 3 3 Answer: (a) TH = i 689 КРа (b) TK = i КРа 280 (c) Tmax= i 799 kPa (d) Omax= 47.11 MPa
A simply supported wood beam that is 9.3 m long carries a 31 kN concentrated load at B. The cross-sectional dimensions of the beam are b = 160 mm, d = 400 mm, a = 80 mm, and c = 30 mm. Section a-a is located at x = 1.6 m from B. (a) At section a-a, determine the magnitude of the shear stress in the beam at point H. (b) At section a-a, determine the magnitude of the shear stress in the beam at point K. (c) Determine the maximum horizontal shear stress that occurs in the beam at any location within the entire span. (d) Determine the maximum tensile bending stress that occurs in the beam at any location within the entire length. a Н to A a В K 2L 3 3 Answer: kPa (a) TH = i kPa (b) TK = i kPa (c) Tmax = i MPa (d) Omax = i
IVEN: A 20-ft beam is subjected to the distributed load show. 0.75 in. 6 in. -3 kip/ct A B K-8ft →→ 12 ft SOLUTION: TOT 12 in. Beam Cross Section 0.75 in -0.5 in. A S B FIND: a. The bending stress at A. b. The bending stress at B.
A rigid beam AB is hinged at A and is connected to an aluminium alloy bar BC at the other end. The beam is also supported on a steel post DE through a rigid bearing at D, as shown is figure. At no load condition, the beam is horizontal and there is an initial clearance 8 = 0.1 mm between the beam and rigid bearing. Determine the maximum permissible load W which may be applied at B if the axial stresses are not to exceed 120 N/mm² for steel and 140 N/mm² for the aluminium alloy. All the connections may be treated as smooth pins. Take E = 2 × 105 N/mm² for steel and E=0.8 x 105 N/mm² for aluminium alloy. A 0.2 m 0.1 m D Rigid beam 8- 0.1 mm Steel post (1500 mm²) E 0.3 m W C B Aluminium alloy bar (800 mm²) 0.4 m
A simply supported wood beam that is 14.1 m long carries a 47 kN concentrated load at B. The cross-sectional dimensions of the beam are b = 160 mm, d = 360 mm, a = 70 mm, andc = 20 mm. Section a-a is located at x = 2.4 m from B. (a) At section a-a, determine the magnitude of the shear stress in the beam at point H. (b) At section a-a, determine the magnitude of the shear stress in the beam at point K. (c) Determine the maximum horizontal shear stress that occurs in the beam at any location within the entire span. (d) Determine the maximum tensile bending stress that occurs in the beam at any location within the entire length. y H a a A В K L 2L Answer: (a) TH = i kPa (b) TK = i КРа (c) Tmax = i kPa (d) Omax MPa i 13
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The assembly shown below is pinned at A & C and A & C are subjected to a double shear. Let each pin diameter be 18 mm, and P = 20 kN. Find the:a) Force at the rod BC (kN) and force acting on pin A (kN)b) Average shear stress at A (MPa), and average shear stress at C (MPa)
Q4: determine the maximum tensile and compressive stresses acting normal to the beam. 50 mm 10 kN 100 mm 30 kN 6 m 2m B (2
A simply supported wood beam that is 9.3 m long carries a 31 kN concentrated load at B. The cross-sectional dimensions of the beam are b = 160 mm, d = 400 mm, a = 80 mm, and c = 30 mm. Section a-a is located at x = 1.6 m from B. (a) At section a-a, determine the magnitude of the shear stress in the beam at point H. (b) At section a-a, determine the magnitude of the shear stress in the beam at point K. (c) Determine the maximum horizontal shear stress that occurs in the beam at any location within the entire span. (d) Determine the maximum tensile bending stress that occurs in the beam at any location within the entire length. P y H a A a B C 2L 3 Answer: (a) TH = i kPa kPa (b) TK = i kPa (c) Tmax = i MPa (d) Omax= i