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Question:
Reaured nformaton
The canoe arin he furs s mace fom a duce maser an sical osc win Fy — 250.01 an
FUL Tne lng of ne rec OC canes by med acorns 52d mnt & 31a fo 62 100m To eng of
1h 3 45 denciad by emecarormUaTS25 mk 5 Gen a ba 100 1
ASN L
3%
A
Determine magne or i sresses acing one cre ress lament (Tansvese shear my be neglected you ca sity
econ)
he bending snes As cesamined tobe [763] @ pst
Th shear srs oA ceerminea be [£578] © host
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Asked by: RAJESH POTHALA
Created at: 2025-09-19 07:06:26
Asked by: RAJESH POTHALA
Created at: 2025-09-19 07:06:26
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# Analysis of Stresses on Cantilever Bar
## Problem Overview
A cantilever bar is loaded with the following specifications:
- **Load \( F_y \):** 250.0 lbf
- **Loads \( F_z \), \( F_x \):** 0 lbf
- **Length DC:** 14.00 in
- **Length AB:** 11.00 in
- **Diameters:** as marked in the figure
## Calculated Stresses at Point A
### 1. **Bending Stress (\( \sigma \))**
- **Value:** **7.639 ksi**
### 2. **Shear Stress (\( \tau \))**
- **Value:** **2.546 ksi**
## Notes
- **Transverse shear** can be neglected if justified (typically valid when bending dominates and cross-sections are not very deep).
- The stresses were calculated based on the geometry and loading, likely using:
- **Bending stress:** \(\sigma = \frac{My}{I}\)
- **Shear stress:** \(\tau = \frac{VQ}{Ib}\) or \(\tau = \frac{V}{A}\) for average shear
---
### **Summary Table**
| Stress Type | Magnitude (ksi) |
|-----------------|-----------------|
| Bending Stress | 7.639 |
| Shear Stress | 2.546 |
---
**Image Description:**
The image shows a cantilever bar with two rods (AB and DC) extending from a wall, loaded at the end with a force \( F_y \). The rods have specified lengths and diameters, and the critical section (A) is indicated for analysis.
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