**Problem Statement:**Determine the vertical shear stress components at point \( q \). Report your answer rounded to the nearest psi.**Description of the Diagram:**The diagram includes a beam subjected to a uniformly distributed load and a concentrated load, with detailed dimensions and cross-section specifications.1. **Beam Loading and Supports:** - The beam has a uniformly distributed load of 10 lbs/in applied over a span of 120 inches from the left support. - There is an additional concentrated load of 1500 lbs applied at the right end of the beam. - The total length of the beam is 240 inches, and it is supported at the left end and 60 inches from the right end.2. **Cross-Section View:** - The cross-section of the beam is T-shaped. - Thickness (\( t \)) is given as 0.75 inches. - The vertical dimension of the cross-section is 6.75 inches, while the horizontal dimension is 6 inches. - The centroid (\( \bar{y} \)) is located at 2.875 inches from the bottom. - Point \( q \) is positioned 1.25 inches from the bottom along the web of the T-section.**Objective:**Calculate the vertical shear stress at point \( q \) on the beam using the provided dimensions and loading conditions. Analyze and solve using standard shear stress formulas and beam theory.

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Answered: Determine the vertical shear stress…

Determine the vertical shear stress components at point q. Report your answer rounded to the nearest psi. 120 in 10 lbs/in 60 in 1500 lbs 60 in cross section: t = 0.75" Z 7=2.875" 6" 9 6.75 1.25"

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

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

**Problem Statement:**

Determine the vertical shear stress components at point \( q \). Report your answer rounded to the nearest psi.

**Description of the Diagram:**

The diagram includes a beam subjected to a uniformly distributed load and a concentrated load, with detailed dimensions and cross-section specifications.

1. **Beam Loading and Supports:**
- The beam has a uniformly distributed load of 10 lbs/in applied over a span of 120 inches from the left support.
- There is an additional concentrated load of 1500 lbs applied at the right end of the beam.
- The total length of the beam is 240 inches, and it is supported at the left end and 60 inches from the right end.

2. **Cross-Section View:**
- The cross-section of the beam is T-shaped.
- Thickness (\( t \)) is given as 0.75 inches.
- The vertical dimension of the cross-section is 6.75 inches, while the horizontal dimension is 6 inches.
- The centroid (\( \bar{y} \)) is located at 2.875 inches from the bottom.
- Point \( q \) is positioned 1.25 inches from the bottom along the web of the T-section.

**Objective:**

Calculate the vertical shear stress at point \( q \) on the beam using the provided dimensions and loading conditions. Analyze and solve using standard shear stress formulas and beam theory.

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Step 1: Introducing given data

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Step 2: Calculate shear force at point q

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Step 3: Calculate moment of inertia

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Step 4: Calculate vertical shear stress

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