L/4 w L/2 L/A B A timber beam AB of length L and rectangular cross section carries a uniformly distributed load w and is supported as shown. (a) Show that the ratio Tom of the maximum values of the shearing and normal stresses in the beam is equal to 2h/L, where h and L are, respectively, the depth and the length of the beam. (b) Determine the depth h and the width b of the beam, knowing that L = 5 m, w = 8 kN/m, Tm = 1.08 MPa, and = 12 MPa.

L/4 w L/2 L/A B A timber beam AB of length L and rectangular cross section carries a uniformly distributed load w and is supported as shown. (a) Show that the ratio Tom of the maximum values of the shearing and normal stresses in the beam is equal to 2h/L, where h and L are, respectively, the depth and the length of the beam. (b) Determine the depth h and the width b of the beam, knowing that L = 5 m, w = 8 kN/m, Tm = 1.08 MPa, and = 12 MPa.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Knowing that the bending moment in the reinforced concrete beam is 1100 kip?ft and that the modulus of elasticity is 3.625 *106 psi for the concrete and 29* 106 psi for the steel, determine (a) the stress in the steel, (b) the maximum stress in the concrete
A cable AB of span L and a simple beam A'B' of the same span are subjected to identical vertical loadings as shown. Show that the magnitude of the bending moment at a point C' in the beam is equal to the product T0h, where T0 is the magnitude of the horizontal component of the tension force in the cable and h is the vertical distance between point C and the chord joining the points of support A and B.
2. For the beam and loading shown, determine the minimum required width b, knowing that for grade of timber used, aall = 12MPA and Tal = 825k Pa. 8,2 kN 4.4 kN 3.6 kN B D 0.25 m 1 m 2.5 m 0.5 m 2 m
(B) Q: The cantilever beam shown below has a circular cross section of 50mm outer diameter. Portion AB of the beam is hollow, with an inner diameter of 35mm. If the allowable bending stress is 140 MPa, determine (1) the largest allowable uniformly distributed load (w) that can be applied to the beam; (2) the bending stress at a point that is 7 mm below the top of the beam at section D. 50 mm W D B O! 35 mm A - 750 mm 250 mm
Q2// Determine the reinforcement of the rectangular beam shown in Fig.(2), knowing that fe 21 MPa, Fy KN/m diameter of the bar 16 mm, beam width D 250 mm and beam depth = 650 mm. = 414 MPa, WL= 25 kN/m, Wd-D15 8 m
A 6-x 10-in. timber beam has been strengthened by bolting two - x 2-in. steel straps to it as shown below. The moduli of elasticity are 1.5 x 106 psi for the wood and 30 x 106 psi for the steel. Knowing that the beam is bent about a horizontal axis by a bending moment of 200 kip in, determine (a) The maximum flexural stress in the wood. (b) The maximum flexural stress in the steel. 10 in. T 6 in.. wood 2 x 3/8 in. steel
(c) the profile of the distribution of the transverse shear stress due to V at point B (d) determine the maximum shear stress in the beam.
For the beam shown, calculate the magnitude of the bending stress (in psi) at the top of the beam on a section 1.84 feet to the right of B if P = 1317 lb, Q = 4548 lb, w = 1.5 in, L = 8.66 in, b = 4.03 in, and h = 1.67 in. Round off the final answer to two decimal places. ... P Q W D 2 ft 3 ft——3 ft— 2 ft Add your answer
A steel bar and an aluminum bar are bonded together to form the composite beam shown. The modulus of elasticity for aluminum is 70 GPa and for steel is 200 GPa. Knowing that the beam is bent about a horizontal axis by a couple of moment M= 1500 N·m, determine the maximum stress in (a) the aluminum, (b) the steel.
Determine the bending stress in a 1-meter simple beam with a concentrated load of 1.25 kN at midspan. The beam has a rectangular section with b = 2 in and h = 4 in. а. 1.78 с. 3.58 b. 2.56 d. Answer is not among the choices
Homework A timber beam AB of length L and rectangular cross section carries a single concentrated load P at its midpoint C. (a) Show that the ratio Tm/Tm of the maximum values of the shearing and normal stresses in the beam is equal to h/2L, where h and L are, respectively, the depth and the length of the beam. (b) Determine the depth h and the width b of the beam, knowing that L = 2 m, P = 40 KN, T, = 960 kPa, and om = 12 MPa. m · L/2 C - L/2· A В
Homework A timber beam AB of length L and rectangular cross section carries a single concentrated load P at its midpoint C. (a) Show that the ratio Tm/Tm of the maximum values of the shearing and normal stresses in the beam is equal to h/2L, where h and L are, respectively, the depth and the length of the beam. (b) Determine the depth h and the width b of the beam, knowing that L = 2 m, P = 40 kN, 7m = 960 kPa, and om = 12 MPa. |P L/2 - - L/2· A В