A tapered cantilever beam AB having rectangular cross sections is subjected to a concentrated load P = 46 lb and a couple Mo = 790 lb - in. acting at the free end [see the figure part (a)). The width b of the beam is constant and equal to 1.0 in., but the height varies linearly from ha = 2.0 in. at the loaded end tohp = 3.0 in. at the support. Use L = 20 in.МоВhg(a)3Pqo = TМо(b)ЗР90 =7\ Mo. (a) At what distance from the free end does the maximum bending stress Omax occur? Round your answer to two decimal places.max =What is the magnitude omax of the maximum bending stress? Round your answer to the nearest whole number.Omax =psiWhat is the ratio of the maximum stress to the largest stress og at the support? Round your answer two decimal places.OmaxOBЗР(b) Repeat (a) if, in addition to Pand Mo, a triangular distributed load with peak intensity go =7 acts upward over the entire beam as shown in the figure part (b). Round your answer to two decimal places.Xmax =in.What is the magnitude omax Oof the maximum bending stress? Round your answer to the nearest whole number.Omax =psiWhat is the ratio of the maximum stress to the stress at the location of maximum moment? Round your answer to two decimal places.OmaxOB

P= 46lb M=790lb-inch b= 1inch hA = 2inch hB = 3inch LAB = 20 inch hx = hA + (hB - hA)/LAB * X hx = 2…

A tapered cantilever beam AB having rectangular cross sections is subjected to a concentrated load P= 46 lb and a couple Mo = 790 lb - in. acting at the free end (see the figure part (a)). The width b of the beam is constant and equal to 1.0 in., but the height varies linearly from ha = 2.0 in. at the loaded end to hg = 3.0 in. at the support. Use L= 20 in. Ma

A tapered cantilever beam AB having rectangular cross sections is subjected to a concentrated load P= 46 lb and a couple Mo = 790 lb - in. acting at the free end (see the figure part (a)). The width b of the beam is constant and equal to 1.0 in., but the height varies linearly from ha = 2.0 in. at the loaded end to hg = 3.0 in. at the support. Use L= 20 in. Ma

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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Concept explainers

Bars

In civil engineering, bars refer to steel reinforcement bars or rebars. These are structural members primarily used for reinforcement purposes in masonry works. A bar is characterized by its cross-sectional area, which is negligible compared to its length. Bars are usually manufactured by steel which is uniform throughout the length, or by meshing multiple steel wires. Other materials of the bar include carbon steel, glass fiber, carbon fiber, and basalt fiber. The reinforcing bars are coated with epoxy resins and other materials to enhance some of their properties including corrosion resistance.

Question

A tapered cantilever beam AB having rectangular cross sections is subjected to a concentrated load P = 46 lb and a couple Mo = 790 lb - in. acting at the free end [see the figure part (a)). The width b of the beam is constant and equal to 1.0 in., but the height varies linearly from ha = 2.0 in. at the loaded end to
hp = 3.0 in. at the support. Use L = 20 in.
Мо
В
hg
(a)
3P
qo = T
Мо
(b)
ЗР
90 =7
\ Mo.

(a) At what distance from the free end does the maximum bending stress Omax occur? Round your answer to two decimal places.
max =
What is the magnitude omax of the maximum bending stress? Round your answer to the nearest whole number.
Omax =
psi
What is the ratio of the maximum stress to the largest stress og at the support? Round your answer two decimal places.
Omax
OB
ЗР
(b) Repeat (a) if, in addition to Pand Mo, a triangular distributed load with peak intensity go =7 acts upward over the entire beam as shown in the figure part (b). Round your answer to two decimal places.
Xmax =
in.
What is the magnitude omax Oof the maximum bending stress? Round your answer to the nearest whole number.
Omax =
psi
What is the ratio of the maximum stress to the stress at the location of maximum moment? Round your answer to two decimal places.
Omax
OB

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