Q1. Determine flexural strength for a wood specimen with given data below. V Span length = 22 inches, V Cross section , b = 2" d= 2" Mc R = L = span length, mm (in.) c = distance from neutral axis to edge of sample = ½h I = moment of inertia = bh³/12 b = average width, mm (in.) h = average depth, mm (in.) where V Maximum load = 4200 Ibf R = modulus of rupture, MPa (psi) M = bending moment = PL/4 P = maximum load, N (lb) |P

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Q1. Determine flexural strength for a wood specimen with given data below.**

- Span length = 22 inches
- Cross section, b = 2", d = 2"
- Maximum load = 4200 lbf

**Equation:**

\[ R = \frac{Mc}{I} \]

Where:
- \( R = \) modulus of rupture, MPa (psi)
- \( M = \) bending moment = \( \frac{PL}{4} \)
- \( P = \) maximum load, N (lb)
- \( L = \) span length, mm (in.)
- \( c = \) distance from neutral axis to edge of sample = \( \frac{1}{2}h \)
- \( I = \) moment of inertia = \( \frac{bh^3}{12} \)
- \( b = \) average width, mm (in.)
- \( h = \) average depth, mm (in.)

**Q2. Determine shear strength for a wood specimen with given data below.**

- \( a = 1.75" \), \( b = 0.25" \), \( c = 2" \), \( d = 2" \)
- Maximum load = 5100 lbf

**Equation:**

\[ \text{Shear Strength} = \frac{P_{\text{max}}}{\text{Area}} \]

**Diagram Explanation:**

The diagram shows a wood specimen mounted in a test fixture. The specimen dimensions are labeled as \( a \), \( b \), \( c \), and \( d \), with a load \( P \) applied at the top via a load block.

**Q3. Determine compressive strength for a wood specimen with given data below.**

- Cross section dimensions of the face on which load is applied = \( 2” \times 2” \)
- Maximum load = 4500 lbf

**Equation:**

\[ \text{Compressive Strength} = \frac{\text{Load}}{\text{Area}} = \frac{P_{\text{max}}}{a \times b} \]

This educational content explains how to determine flexural, shear, and compressive strengths for wood specimens using given data, relevant equations, and a diagram illustrating specimen mounting for testing.
Transcribed Image Text:**Q1. Determine flexural strength for a wood specimen with given data below.** - Span length = 22 inches - Cross section, b = 2", d = 2" - Maximum load = 4200 lbf **Equation:** \[ R = \frac{Mc}{I} \] Where: - \( R = \) modulus of rupture, MPa (psi) - \( M = \) bending moment = \( \frac{PL}{4} \) - \( P = \) maximum load, N (lb) - \( L = \) span length, mm (in.) - \( c = \) distance from neutral axis to edge of sample = \( \frac{1}{2}h \) - \( I = \) moment of inertia = \( \frac{bh^3}{12} \) - \( b = \) average width, mm (in.) - \( h = \) average depth, mm (in.) **Q2. Determine shear strength for a wood specimen with given data below.** - \( a = 1.75" \), \( b = 0.25" \), \( c = 2" \), \( d = 2" \) - Maximum load = 5100 lbf **Equation:** \[ \text{Shear Strength} = \frac{P_{\text{max}}}{\text{Area}} \] **Diagram Explanation:** The diagram shows a wood specimen mounted in a test fixture. The specimen dimensions are labeled as \( a \), \( b \), \( c \), and \( d \), with a load \( P \) applied at the top via a load block. **Q3. Determine compressive strength for a wood specimen with given data below.** - Cross section dimensions of the face on which load is applied = \( 2” \times 2” \) - Maximum load = 4500 lbf **Equation:** \[ \text{Compressive Strength} = \frac{\text{Load}}{\text{Area}} = \frac{P_{\text{max}}}{a \times b} \] This educational content explains how to determine flexural, shear, and compressive strengths for wood specimens using given data, relevant equations, and a diagram illustrating specimen mounting for testing.
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